Fractions greater than 1 share a common characteristic: their numerators exceed their denominators. For example, in fractions like 5/2 or 7/3, the top number (numerator) is larger than the bottom number (denominator). This signifies quantities exceeding one whole. Such fractions can also be represenRead more
Fractions greater than 1 share a common characteristic: their numerators exceed their denominators. For example, in fractions like 5/2 or 7/3, the top number (numerator) is larger than the bottom number (denominator). This signifies quantities exceeding one whole. Such fractions can also be represented as mixed numbers, like 2 1/2 for 5/2 or 2 1/3 for 7/3. This common feature distinguishes improper fractions from proper fractions, where the numerator is always smaller than the denominator.
If the unit length between 0 and 1 is divided into two equal parts, the blue line spans one section, making its length 1/2. For the black line, its length is determined by how many segments it covers. For instance, if it spans one part out of two, its length is also 1/2. Alternatively, if it spans mRead more
If the unit length between 0 and 1 is divided into two equal parts, the blue line spans one section, making its length 1/2. For the black line, its length is determined by how many segments it covers. For instance, if it spans one part out of two, its length is also 1/2. Alternatively, if it spans multiple parts, the fraction adjusts accordingly. Fractions accurately describe lengths based on proportional representation.
To determine the whole units in 7/2, divide the numerator (7) by the denominator (2). The quotient is 3, representing three whole units, and the remainder is 1. This remainder, expressed as 1/2, completes the fraction. Thus, 7/2 equals 3 1/2 in mixed number form. This representation helps in visualiRead more
To determine the whole units in 7/2, divide the numerator (7) by the denominator (2). The quotient is 3, representing three whole units, and the remainder is 1. This remainder, expressed as 1/2, completes the fraction. Thus, 7/2 equals 3 1/2 in mixed number form. This representation helps in visualizing improper fractions as a combination of wholes and parts, making them easier to interpret and compare with other numbers.
To find whole units in 4/3 and 7/3: • For 4/3, dividing 4 by 3 gives 1 whole unit with a remainder of 1, expressed as 1/3. So, 4/3 equals 1 1/3. • For 7/3, dividing 7 by 3 gives 2 whole units with a remainder of 1, expressed as 1/3. So, 7/3 equals 2 1/3. This process of converting improper fractionsRead more
To find whole units in 4/3 and 7/3:
• For 4/3, dividing 4 by 3 gives 1 whole unit with a remainder of 1, expressed as 1/3. So, 4/3 equals 1 1/3.
• For 7/3, dividing 7 by 3 gives 2 whole units with a remainder of 1, expressed as 1/3. So, 7/3 equals 2 1/3.
This process of converting improper fractions into mixed numbers clarifies their composition and simplifies comparison or computation.
All fractions greater than 1 can be written as mixed numbers. To convert, divide the numerator by the denominator. The quotient represents the whole units, while the remainder is written as the numerator of the fractional part, keeping the original denominator. For example, 11/4 becomes 2 3/4, whereRead more
All fractions greater than 1 can be written as mixed numbers. To convert, divide the numerator by the denominator. The quotient represents the whole units, while the remainder is written as the numerator of the fractional part, keeping the original denominator. For example, 11/4 becomes 2 3/4, where 2 is the whole part, and 3/4 is the fraction. This conversion helps represent improper fractions in an intuitive form, making their values easier to understand and work with.
To convert a mixed number into a regular fraction, multiply the whole number by the denominator of the fraction. Add this product to the numerator and place the sum over the original denominator. For instance, in 2 1/3, multiply 2 by 3 (the denominator) to get 6, then add 1 (the numerator) to get 7.Read more
To convert a mixed number into a regular fraction, multiply the whole number by the denominator of the fraction. Add this product to the numerator and place the sum over the original denominator. For instance, in 2 1/3, multiply 2 by 3 (the denominator) to get 6, then add 1 (the numerator) to get 7. The result is 7/3. This process turns the mixed number into an improper fraction, which is useful for operations like addition or subtraction of fractions.
The lengths 1/2 and 3/6 are equivalent fractions. To verify, multiply the numerator and denominator of 1/2 by the same number, 3, resulting in 3/6. Since this process maintains the proportionality of the fraction, 1/2 and 3/6 represent identical parts of a whole. This equivalence can also be visualiRead more
The lengths 1/2 and 3/6 are equivalent fractions. To verify, multiply the numerator and denominator of 1/2 by the same number, 3, resulting in 3/6. Since this process maintains the proportionality of the fraction, 1/2 and 3/6 represent identical parts of a whole. This equivalence can also be visualized by dividing a shape, such as a rectangle or circle, into 6 equal parts, where 3 parts cover the same area as half of the whole.
The fractions 2/3 and 4/6 are equivalent because they represent the same proportion of a whole. To confirm this, multiply the numerator (2) and denominator (3) of 2/3 by 2. The result is 4/6. Since multiplying both parts of a fraction by the same number maintains its value, these fractions are equalRead more
The fractions 2/3 and 4/6 are equivalent because they represent the same proportion of a whole. To confirm this, multiply the numerator (2) and denominator (3) of 2/3 by 2. The result is 4/6. Since multiplying both parts of a fraction by the same number maintains its value, these fractions are equal. This equivalence can also be visualized by dividing a shape into six parts, where four parts of 4/6 cover the same area as two parts of 2/3.
When 2 cakes are divided equally among 5 children, each child, including Anil, receives 2/5 of a cake. The division fact is 2 ÷ 5 = 2/5. This fraction ensures equal sharing, where the numerator (2) represents the total cakes, and the denominator (5) denotes the number of children. Fair sharing is maRead more
When 2 cakes are divided equally among 5 children, each child, including Anil, receives 2/5 of a cake. The division fact is 2 ÷ 5 = 2/5. This fraction ensures equal sharing, where the numerator (2) represents the total cakes, and the denominator (5) denotes the number of children. Fair sharing is maintained as each child receives the same proportion of the total cakes. This concept helps simplify distribution problems and visualize fractional quantities in real-life scenarios.
In the first group, each child gets 2/5 of a cake as 2 cakes are divided among 5 children. In the second group, 4 cakes are divided among 10 children, giving each 4/10 of a cake, which simplifies to 2/5. Combining the groups shows that every child, regardless of group, receives an equal share of 2/5Read more
In the first group, each child gets 2/5 of a cake as 2 cakes are divided among 5 children. In the second group, 4 cakes are divided among 10 children, giving each 4/10 of a cake, which simplifies to 2/5. Combining the groups shows that every child, regardless of group, receives an equal share of 2/5 cake. This highlights how fractions ensure fair division across different scenarios, emphasizing equality and uniform distribution of resources.
Did you notice something common between the fractions that are greater than 1?
Fractions greater than 1 share a common characteristic: their numerators exceed their denominators. For example, in fractions like 5/2 or 7/3, the top number (numerator) is larger than the bottom number (denominator). This signifies quantities exceeding one whole. Such fractions can also be represenRead more
Fractions greater than 1 share a common characteristic: their numerators exceed their denominators. For example, in fractions like 5/2 or 7/3, the top number (numerator) is larger than the bottom number (denominator). This signifies quantities exceeding one whole. Such fractions can also be represented as mixed numbers, like 2 1/2 for 5/2 or 2 1/3 for 7/3. This common feature distinguishes improper fractions from proper fractions, where the numerator is always smaller than the denominator.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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What is the length of the blue line and black line shown below? The distance between 0 and 1 is 1 unit long, and it is divided into two equal parts. The length of each part is 1/2. So the blue line is 1/2 units long. Write the fraction that gives the length of the black line in the box.
If the unit length between 0 and 1 is divided into two equal parts, the blue line spans one section, making its length 1/2. For the black line, its length is determined by how many segments it covers. For instance, if it spans one part out of two, its length is also 1/2. Alternatively, if it spans mRead more
If the unit length between 0 and 1 is divided into two equal parts, the blue line spans one section, making its length 1/2. For the black line, its length is determined by how many segments it covers. For instance, if it spans one part out of two, its length is also 1/2. Alternatively, if it spans multiple parts, the fraction adjusts accordingly. Fractions accurately describe lengths based on proportional representation.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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How many whole units are there in 7/2?
To determine the whole units in 7/2, divide the numerator (7) by the denominator (2). The quotient is 3, representing three whole units, and the remainder is 1. This remainder, expressed as 1/2, completes the fraction. Thus, 7/2 equals 3 1/2 in mixed number form. This representation helps in visualiRead more
To determine the whole units in 7/2, divide the numerator (7) by the denominator (2). The quotient is 3, representing three whole units, and the remainder is 1. This remainder, expressed as 1/2, completes the fraction. Thus, 7/2 equals 3 1/2 in mixed number form. This representation helps in visualizing improper fractions as a combination of wholes and parts, making them easier to interpret and compare with other numbers.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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How many whole units are there in 4/3 and in 7/3?
To find whole units in 4/3 and 7/3: • For 4/3, dividing 4 by 3 gives 1 whole unit with a remainder of 1, expressed as 1/3. So, 4/3 equals 1 1/3. • For 7/3, dividing 7 by 3 gives 2 whole units with a remainder of 1, expressed as 1/3. So, 7/3 equals 2 1/3. This process of converting improper fractionsRead more
To find whole units in 4/3 and 7/3:
• For 4/3, dividing 4 by 3 gives 1 whole unit with a remainder of 1, expressed as 1/3. So, 4/3 equals 1 1/3.
• For 7/3, dividing 7 by 3 gives 2 whole units with a remainder of 1, expressed as 1/3. So, 7/3 equals 2 1/3.
This process of converting improper fractions into mixed numbers clarifies their composition and simplifies comparison or computation.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Can all fractions greater than 1 be written as such mixed numbers?
All fractions greater than 1 can be written as mixed numbers. To convert, divide the numerator by the denominator. The quotient represents the whole units, while the remainder is written as the numerator of the fractional part, keeping the original denominator. For example, 11/4 becomes 2 3/4, whereRead more
All fractions greater than 1 can be written as mixed numbers. To convert, divide the numerator by the denominator. The quotient represents the whole units, while the remainder is written as the numerator of the fractional part, keeping the original denominator. For example, 11/4 becomes 2 3/4, where 2 is the whole part, and 3/4 is the fraction. This conversion helps represent improper fractions in an intuitive form, making their values easier to understand and work with.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Can we write a mixed number (mixed fraction) as a regular fraction?
To convert a mixed number into a regular fraction, multiply the whole number by the denominator of the fraction. Add this product to the numerator and place the sum over the original denominator. For instance, in 2 1/3, multiply 2 by 3 (the denominator) to get 6, then add 1 (the numerator) to get 7.Read more
To convert a mixed number into a regular fraction, multiply the whole number by the denominator of the fraction. Add this product to the numerator and place the sum over the original denominator. For instance, in 2 1/3, multiply 2 by 3 (the denominator) to get 6, then add 1 (the numerator) to get 7. The result is 7/3. This process turns the mixed number into an improper fraction, which is useful for operations like addition or subtraction of fractions.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Are the lengths 1/2 and 3/6 equal?
The lengths 1/2 and 3/6 are equivalent fractions. To verify, multiply the numerator and denominator of 1/2 by the same number, 3, resulting in 3/6. Since this process maintains the proportionality of the fraction, 1/2 and 3/6 represent identical parts of a whole. This equivalence can also be visualiRead more
The lengths 1/2 and 3/6 are equivalent fractions. To verify, multiply the numerator and denominator of 1/2 by the same number, 3, resulting in 3/6. Since this process maintains the proportionality of the fraction, 1/2 and 3/6 represent identical parts of a whole. This equivalence can also be visualized by dividing a shape, such as a rectangle or circle, into 6 equal parts, where 3 parts cover the same area as half of the whole.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Are 2/3 and 4/6 equivalent fractions? Why?
The fractions 2/3 and 4/6 are equivalent because they represent the same proportion of a whole. To confirm this, multiply the numerator (2) and denominator (3) of 2/3 by 2. The result is 4/6. Since multiplying both parts of a fraction by the same number maintains its value, these fractions are equalRead more
The fractions 2/3 and 4/6 are equivalent because they represent the same proportion of a whole. To confirm this, multiply the numerator (2) and denominator (3) of 2/3 by 2. The result is 4/6. Since multiplying both parts of a fraction by the same number maintains its value, these fractions are equal. This equivalence can also be visualized by dividing a shape into six parts, where four parts of 4/6 cover the same area as two parts of 2/3.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Anil was in a group where 2 cakes were divided equally among 5 children. How much cake would Anil get?
When 2 cakes are divided equally among 5 children, each child, including Anil, receives 2/5 of a cake. The division fact is 2 ÷ 5 = 2/5. This fraction ensures equal sharing, where the numerator (2) represents the total cakes, and the denominator (5) denotes the number of children. Fair sharing is maRead more
When 2 cakes are divided equally among 5 children, each child, including Anil, receives 2/5 of a cake. The division fact is 2 ÷ 5 = 2/5. This fraction ensures equal sharing, where the numerator (2) represents the total cakes, and the denominator (5) denotes the number of children. Fair sharing is maintained as each child receives the same proportion of the total cakes. This concept helps simplify distribution problems and visualize fractional quantities in real-life scenarios.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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What if we put two such groups together? one group where 2 cakes are divided equally between 5 children, and another group again with 4 cakes and 10 children.
In the first group, each child gets 2/5 of a cake as 2 cakes are divided among 5 children. In the second group, 4 cakes are divided among 10 children, giving each 4/10 of a cake, which simplifies to 2/5. Combining the groups shows that every child, regardless of group, receives an equal share of 2/5Read more
In the first group, each child gets 2/5 of a cake as 2 cakes are divided among 5 children. In the second group, 4 cakes are divided among 10 children, giving each 4/10 of a cake, which simplifies to 2/5. Combining the groups shows that every child, regardless of group, receives an equal share of 2/5 cake. This highlights how fractions ensure fair division across different scenarios, emphasizing equality and uniform distribution of resources.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/