CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.3 Solutions
1. Write the fractions. Are all these fractions equivalent?
Answer:
Yes, all these fractions are equivalent
No, all these fractions are not equivalent
2. Write the fractions and pair up the equivalent fractions from each row.
Answer:
3. Replace in each of the following by the correct number :
Answer:
4. Find the equivalent fraction of
having
(a) denominator 20 (b) numerator 9
(c) denominator 30 (d) numerator 27
Answer:
5. Find the equivalent fraction of
with
(a) numerator 9 (b) denominator 4
Answer:
6. Check whether the given fractions are equivalent :
(a)
(b)
(c)
Answer:
(a)
Given Fractions are equivalent.
(b)
Given Fractions are equivalent
(c)
Given Fractions are not equivalent
7. Reduce the following fractions to simplest form :
Answer:
8. Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After
4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal
used up 40 pencils. What fraction did each use up? Check if each has used up an
equal fraction of her/his pencils?
Answer:
9. Match the equivalent fractions and write two more for each.
Answer;
Answer:
Yes, all these fractions are equivalent
No, all these fractions are not equivalent
2. Write the fractions and pair up the equivalent fractions from each row.
Answer:
 |  |
 |  |
 |  |
 |  |
 | |
3. Replace in each of the following by the correct number :
| 2 | 8 | ||
| a. | = | ||
| 7 |
| 5 | 10 | ||
| b. | = | ||
| 8 |
| 3 | |||
| c. | = | ||
| 5 | 20 |
| 45 | 15 | ||
| d. | = | ||
| 60 |
| 18 | |||
| e. | = | ||
| 24 | 4 |
Answer:
| 2 | 8 | ||
| a. | = | ||
| 7 | 28 |
| 5 | 10 | ||
| b. | = | ||
| 8 | 16 |
| 3 | 12 | ||
| c. | = | ||
| 5 | 20 |
| 45 | 15 | ||
| d. | = | ||
| 60 | 20 |
| 18 | 3 | ||
| e. | = | ||
| 24 | 4 |
4. Find the equivalent fraction of
| 5 |
| 3 |
(a) denominator 20 (b) numerator 9
(c) denominator 30 (d) numerator 27
Answer:
| 3 | 12 | ||
| a. | = | ||
| 5 | 20 |
| 3 | 9 | ||
| b. | = | ||
| 5 | 15 |
| 3 | 18 | ||
| c. | = | ||
| 5 | 30 |
| 3 | 27 | ||
| d. | = | ||
| 5 | 45 |
5. Find the equivalent fraction of
| 36 |
| 48 |
(a) numerator 9 (b) denominator 4
Answer:
| 36 | 9 | ||
| a. | = | ||
| 48 | 12 |
| 36 | 3 | ||
| b. | = | ||
| 48 | 4 |
6. Check whether the given fractions are equivalent :
(a)
| 5 |
| 9 |
| 30 |
| 54 |
(b)
| 3 |
| 10 |
| 12 |
| 50 |
(c)
| 7 |
| 13 |
| 5 |
| 11 |
Answer:
(a)
| 30 | 5 | |
| = | ||
| 54 | 9 |
(b)
| 12 | 3 | |
| = | ||
| 50 | 10 |
(c)
| 5 | 7 | |
| = | ||
| 11 | 13 |
7. Reduce the following fractions to simplest form :
| 48 | ||
| a. | ||
| 60 |
| 150 | ||
| b. | ||
| 60 |
| 7 | ||
| c. | ||
| 28 |
| 84 | ||
| d. | ||
| 98 |
| 12 | |
| e. | |
| 52 |
| 48 | 4 | ||
| a. | = | ||
| 60 | 5 |
| 150 | 5 | ||
| b. | = | ||
| 60 | 2 |
| 7 | 6 | ||
| c. | = | ||
| 28 | 7 |
| 84 | 3 | ||
| d. | = | ||
| 98 | 13 |
| 12 | 1 | ||
| e. | = | ||
| 52 | 4 |
8. Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After
4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal
used up 40 pencils. What fraction did each use up? Check if each has used up an
equal fraction of her/his pencils?
Answer:
| The numbers of pencil Ramesh had | = 20 | |||
| The numbers of pencil Sheelu had | = 50 | |||
| The numbers of pencil Jamaal had | = 80 | |||
| After 4 months ... | ||||
| The numbers of pencil Ramesh had used | = 10 | |||
| The numbers of pencil Sheelu had used | = 25 | |||
| The numbers of pencil Jamaal had used | = 40 | |||
| The numbers of pencil Ramesh has now 20-10 | = 10 | |||
| The numbers of pencil Sheelu has now 50-25 | = 25 | |||
| The numbers of pencil Jamaal has now 80-40 | = 40 | |||
| The fraction of pencil Ramesh used up |
| |||
| The fraction of pencil Sheelu used up |
| |||
| The fraction of pencil Sheelu used up |
| |||
| Dividing both numerator and denominator by 10 we have | ||||||||
| = |
| ||||||
| Dividing both numerator and denominator by 25 we have | ||||||||
| = |
| ||||||
| Dividing both numerator and denominator by 40 we have | ||||||||
| = |
| ||||||
| As all the fractions are equivalent, there for each has used up an equal fraction of her/his pencils | ||||||||
Answer;
