Class 5 Mathematics

Chapter 2 Solutions — Fractions

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Solutions

Overview

Step-by-step NCERT solutions for Fractions (Chapter 2, NCERT Class 5 Mathematics) — every question and answer worked out in full, not just the final result. You can also read the Fractions textbook chapter.

Solved

What these solutions cover

All 16 questions in Fractions are solved in the PDF. Here's what's inside, exercise by exercise:

Let Us Do — Equivalent Fractions with Fraction Kit (p. 19)

1.
In groups of 3 or 4, find different ways of making a whole with different fraction pieces from your kit. Write the equivalent fractions for the following that you may find in the process.
- (a) 1/3 = ___ = ___ = ___
- (b) 1/4 = ___ = ___ = ___
- (c) 1/5 = ___ = ___ = ___
- (d) 1/6 = ___ = ___ = ___
2.
Find the following using your kit. You can also shade and check. A. How many 1/6 s make 1/3? B. How many 1/8 s make
- (a) 1/4?
- (b) 1/2? C. How many 1/12 s make
- (a) 1/2?
- (b) 1/3?
- (c) 1/4?
- (d) 1/6?
Do as instructed using your fraction kit. - Make a whole using only 1/6 and 1/12 pieces. - Make a whole using 1/12, 1/4, and 1/2 pieces. - Make a whole using any five pieces of the same size. - Make a whole using any seven pieces.

Let Us Do — Making Equivalent Fractions (p. 21)

1.
Fill in the blanks with equivalent fractions. There may be more than one answer.
- (a) 1/7 = ___
- (b) 2/3 = ___
- (c) 3/4 = ___
- (d) 3/5 = ___
2.
Put a tick against the fractions that are equivalent.
- (a) 2/3 and 3/4
- (b) 3/5 and 6/10
- (c) 4/12 and 2/6
- (d) 6/9 and 1/3
3.
Fill in the boxes such that the fractions become equivalent.
- (a) 2/5 = box/10
- (b) 3/4 = box/16
- (c) 4/7 = 8/box
- (d) 5/9 = 25/box

Let Us Do

1.
Compare the fractions given below using < and > signs.
- (a) 1/4 ___ 3/4
- (b) 3/5 ___ 4/5
- (c) 5/7 ___ 2/7
- (d) 7/8 ___ 3/8
- (e) 5/10 ___ 6/10
- (f) 2/6 ___ 1/6
2.
Compare the following fractions using < and > signs.
- (a) 3/8 ___ 3/7
- (b) 4/9 ___ 4/10
- (c) 2/7 ___ 2/5
- (d) 5/7 ___ 5/6
- (e) 6/9 ___ 6/10
- (f) 7/9 ___ 7/11

Let Us Do — Fractions Greater Than 1 (p. 28)

1.
Use parathas and number lines to show the following fractions in your notebook.
- (a) 2/3 and 5/3
- (b) 3/4 and 5/4
- (c) 4/8 and 9/8
Circle the fractions that are greater than one (whole). How do you know? 7/9 3/9 7/11 9/4 4/9 9/4 5/4 2/5 7/3 13/11 12/5 12/8

Let Us Do — Comparing Fractions with Reference to 1 (p. 29)

1.
Compare the following fractions using 1 as a reference. Share your reasoning in the class.
- (a) 8/7 ___ 9/15
- (b) 13/20 ___ 17/15
- (c) 7/6 ___ 8/8
- (d) 6/6 ___ 19/12
- (e) 12/9 ___ 4/5
- (f) 15/5 ___ 16/4

Let Us Do — Comparing Fractions with Reference to 1/2 (p. 30)

Circle the fractions below that are equal to 1/2. 2/4 3/5 5/7 7/14 5/10 8/16 5/9 6/12 10/20 6/8
Some fractions are written in the box below. Circle the fractions that are less than half. How do you know? Discuss your reasoning in the class. 3/9 2/4 12/15 8/15 11/12 3/15 4/8 1/3 7/11 11/16 15/31 6/18
Compare the following fractions. Where possible, compare the fractions with 1/2. 2/9 and 4/7 | 11/14 and 7/20 | 5/7 and 3/9 | 6/7 and 4/10 9/17 and 3/15 | 7/12 and 3/11 | 1/3 and 5/9 | 3/9 and 4/7

Try This — Ants on a Number Line (p. 31)

If the length of an ant is 1/4 cm, then what is the total length of 16 such ants walking in a line? Use the number line given below.

Fun with Relations — Puzzle (p. 31)

If the only brother of your father's sister had a child, what would be the child's relationship with you?

Sample

Worked examples

3 questions from Fractions, solved step by step.

Let Us Do — Fractions Greater Than 1 (p. 28)

Circle the fractions that are greater than one (whole). How do you know? 7/9 3/9 7/11 9/4 4/9 9/4 5/4 2/5 7/3 13/11 12/5 12/8

A fraction is greater than 1 when the numerator is bigger than the denominator.

7/9: 7 < 9 — less than 1

3/9: 3 < 9 — less than 1

7/11: 7 < 11 — less than 1

9/4: 9 > 4 — GREATER than 1 ✓

4/9: 4 < 9 — less than 1

9/4: 9 > 4 — GREATER than 1 ✓

5/4: 5 > 4 — GREATER than 1 ✓

2/5: 2 < 5 — less than 1

7/3: 7 > 3 — GREATER than 1 ✓

13/11: 13 > 11 — GREATER than 1 ✓

12/5: 12 > 5 — GREATER than 1 ✓

12/8: 12 > 8 — GREATER than 1 ✓

Answer: Circle: 9/4, 9/4, 5/4, 7/3, 13/11, 12/5, 12/8. These all have numerator > denominator.

Let Us Do — Comparing Fractions with Reference to 1/2 (p. 30)

Circle the fractions below that are equal to 1/2. 2/4 3/5 5/7 7/14 5/10 8/16 5/9 6/12 10/20 6/8

A fraction equals 1/2 when the numerator is exactly half the denominator (numerator x 2 = denominator).

2/4: 2 x 2 = 4. Equal to 1/2. ✓

3/5: 3 x 2 = 6 ≠ 5. Not equal.

5/7: 5 x 2 = 10 ≠ 7. Not equal.

7/14: 7 x 2 = 14. Equal to 1/2. ✓

5/10: 5 x 2 = 10. Equal to 1/2. ✓

8/16: 8 x 2 = 16. Equal to 1/2. ✓

5/9: 5 x 2 = 10 ≠ 9. Not equal.

6/12: 6 x 2 = 12. Equal to 1/2. ✓

10/20: 10 x 2 = 20. Equal to 1/2. ✓

6/8: 6 x 2 = 12 ≠ 8. Not equal. (6/8 = 3/4)

Answer: Circle: 2/4, 7/14, 5/10, 8/16, 6/12, 10/20

Fun with Relations — Puzzle (p. 31)

If the only brother of your father's sister had a child, what would be the child's relationship with you?

Let us trace the relationship step by step.

Your father's sister = your aunt (bua).

The only brother of your father's sister = your father himself (since she has only one brother).

Your father's child = you (or your sibling).

So the child would be your brother or sister (sibling).

Answer: The child would be your brother or sister (sibling), because the only brother of your father's sister is your father himself.

All 16 questions in Fractions are solved step by step in the Solutions PDF above.

Keep solving

Chapter 2 Solutions — Fractions

Overview

What these solutions cover

Let Us Do — Equivalent Fractions with Fraction Kit (p. 19)

Let Us Do — Making Equivalent Fractions (p. 21)

Let Us Do

Let Us Do — Fractions Greater Than 1 (p. 28)

Let Us Do — Comparing Fractions with Reference to 1 (p. 29)

Let Us Do — Comparing Fractions with Reference to 1/2 (p. 30)

Try This — Ants on a Number Line (p. 31)

Fun with Relations — Puzzle (p. 31)

Worked examples

Circle the fractions that are greater than one (whole). How do you know? 7/9 3/9 7/11 9/4 4/9 9/4 5/4 2/5 7/3 13/11 12/5 12/8

Circle the fractions below that are equal to 1/2. 2/4 3/5 5/7 7/14 5/10 8/16 5/9 6/12 10/20 6/8

If the only brother of your father's sister had a child, what would be the child's relationship with you?

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