NCERT Solutions for Class 5 Mathematics Chapter 2: Fractions

This worksheet provides complete and accurate NCERT solutions for Class 5 Mathematics Chapter Fractions. This worksheet helps students understand fractions through grids, number lines, and activity-based learning. The chapter focuses on comparing fractions, equivalent fractions, and fractions greater than one. It is important for building strong mathematical understanding and helps students develop clear concepts required for higher classes. This worksheet follows the NCERT structure and provides answers exactly as per the textbook.

Chapter summary: stories, poems & themes

This chapter is fully activity-based and uses grids, number lines, and visual representations to explain fractions. Students learn how fractions represent parts of a whole using shaded grids and real-life examples like parathas and sharing pieces. The chapter focuses on understanding equivalent fractions, comparing fractions, and identifying fractions that are greater than one. The learning is supported by visual and observation-based activities.

What does this NCERT chapter cover?

• Understanding fractions using grids and visual models  
• Learning equivalent fractions through patterns  
• Comparing fractions with same numerator and denominator  
• Identifying fractions greater than one  
• Using number lines to represent fractions  
• Activity-based learning through observation and drawing  

How to use these NCERT solutions?

Students should first try solving each question on their own before checking the answers. These solutions follow the exact NCERT sequence, so students can easily match them with their textbook. Parents and teachers can use this worksheet to guide students and check their understanding. This helps with revision and improves the clarity of concepts.

Student tips & learning tricks

• Always check if fractions have the same denominator before comparing.
• Use number lines and visual models to understand fractions better.
• Remember that equivalent fractions represent the same value.
• Fractions greater than one have numerators greater than denominators.
• Avoid skipping steps while comparing fractions.

Why are NCERT solutions important?

NCERT Solutions help students understand concepts clearly and build a strong foundation in mathematics. These solutions follow the exact NCERT pattern, which is important for exams and assessments. They improve confidence and help students solve problems correctly and independently.

Complete answer key – NCERT solutions

Playing with a grid

1. Grid A: 1/8 × 48 = 6, 6 grids shaded = 1/8 shaded  
2. Grid B: 1/6 × 48 = 8; 8 grids shaded = 1/6 shaded  
3. Total grids in each square – 6 × 8 = 48  
4. Tamanna is correct, because fractions can be compared only when the wholes are the same. A smaller fraction of a larger whole can be greater than a larger fraction of a smaller whole. 
5. Grid C: 1/12 × 48 = 4, 4 grids shaded = 1/12 shaded  
6. Yes, 1/3 is seen in all the grids. 
7. Yes. 
8. There are two different ways to write the fraction represented by the shaded part.
9. Grid D: 1/3 × 48 = 16; 16 grids shaded = 1/3 shaded  

Fun with fraction kit

1. 5 pieces of 1/5 make a whole.

Let us do

1. 
(a) 1/3 = 2/6 = 3/9 = 4/12  
(b) 1/4 = 2/8 = 3/12 = 4/16  
(c) 1/5 = 2/10 = 3/15 = 4/20  
(d) 1/6 = 2/12 = 3/18 = 4/24  

2.  
(A) Two 1/6 pieces make 1/3.

(B)  
(a) 2  
(b) 4  

(C)  
(a) 6  
(b) 4  
(c) 3  
(d) 2  

Write or draw your findings

1. 6 pieces of 1/6 make a whole.
2. 12 pieces of 1/12 make a whole.
3. 4 pieces of 1/4 make a whole.
4. 2 pieces of 1/2 make a whole.
5. 5 pieces of 1/5 make a whole.
6. 7 pieces of 1/7 make a whole.

Making equivalent fractions

1. 1/7 = 2/14  
2. 2/3 = 4/6  
3. 3/4 = 6/8  
4. 3/5 = 6/10  

Let us do

1. 
(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  

Comparing fractions — same denominator

1. 
(a) 2/5 = 4/10  
(b) 3/4 = 12/16  
(c) 4/7 = 8/14  
(d) 5/9 = 25/45  

2.  
(a) ✗  
(b) ✓  
(c) ✓  
(d) ✗  

Comparing fractions — same numerator

1. 
(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  

Fractions greater than 1

1. Dadaji: 7/2 = 3 1/2  
2. Raman: 6/2 = 3  
3. Dadaji: 7/2 = 3 1/2  
4. Baba: 5/2 = 2 1/2  

After giving slices from elders

1. Raman = 1  
2. Radhika = 1  

After Raman gave her a piece

1. Raman = 2/3  
2. Radhika = 1 1/3  

Raman → 7/4 = 1¾  
Radhika → 6/4 = 1½  
Maa → 8/4 = 2  
Dadiji → 10/4 = 2½  
Baba → 12/4 = 3  

Let us do

1. 
(a) 2/3 and 5/3  
(b) 3/4 and 5/4  
(c) 4/8 and 9/8  

2. Numerator > Denominator → fraction > 1 because the number of parts taken is more than one whole. 

Fractions greater than 1:

9/4, 7/3, 5/4, 13/11, 12/5, 12/8  

Comparing fractions with reference to 1

1. 
(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  

Comparing fractions with reference to 1/2

1. Fractions equal to 1/2: 
2/4, 7/14, 6/12, 5/10, 8/16, 10/20  

2. Fractions less than half:  
3/9, 1/3, 3/15, 6/18, 15/31  

3.  
2/9 < 4/7  
11/14 > 7/20  
5/7 > 3/9  
6/7 > 4/10  
9/17 > 3/15  
7/12 > 3/11  
1/3 < 5/9  
3/9 < 4/7  

Try this

1. Total length = 16 × 1/4 = 4 cm  
2. Answer: Cousin  

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