NCERT Solutions Class 6 Maths Chapter 7 fractions Exercise 7.5

Exercise 7.5 in NCERT Class 6 Maths, Chapter 7 - Fractions, takes students to a new level of understanding operations with unlike fractions.  In this exercise, students are required to add and subtract unlike fractions (those with different denominators), and they must first convert them to like fractions, by using LCM. 

This is important because unlike fractions are used frequently in real-life applications - for example, measurements, expenses, and sharing. ALLEN's NCERT Solutions Class 6 Maths to Exercise 7.5, provides a clear, strong and systematic explanation of the process at hand. These solutions will help the new learners improve accuracy and give years of educational experience, when it comes to trying to think of these fractions in complex operations.

1.0Download NCERT Solutions Class 6 Maths Chapter 7 fractions Exercise 7.5: Free PDF

Download ALLEN’s expert-verified NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.5 in a free, easy-to-read PDF format.

2.0NCERT Solutions Class 6 Chapter 7 Fractions: All Exercises

3.0NCERT Class 6 Maths Chapter 7 fractions Exercise 7.5: Detailed Solutions

• How many whole units are there in $\frac{7}{2}$ ? Sol. $\frac{7}{2}=3+\frac{1}{2}$ There are 3 whole units in $\frac{7}{2}$.
• How many whole units are there in $\frac{4}{3}$ and in $\frac{7}{3}$ ? Sol. $\frac{4}{3}=1+\frac{1}{3}$ and $\frac{7}{3}=2+\frac{1}{3}$ There is 1 whole unit in $\frac{4}{3}$ and 2 whole units in $\frac{7}{3}$
• Figure out the number of whole units in each of the following fractions: (a) $\frac{8}{3}$ (b) $\frac{11}{5}$ (c) $\frac{9}{4}$ Sol. (a) $\frac{8}{3}=2+\frac{2}{3}=2\frac{2}{3}$ (b) $\frac{11}{5}=2+\frac{1}{5}=2\frac{1}{5}$ (c) $\frac{9}{4}=2+\frac{1}{4}=2\frac{1}{4}$
• Can all fractions greater than 1 be written as such mixed numbers? Sol. Yes, all fractions greater than 1 can be written as mixed numbers/mixed fraction. Ex : $-\frac{12}{7}=1+\frac{5}{7}=1\frac{5}{7}$
• Write the following fractions as mixed fractions (e.g., $\frac{9}{2}=4\frac{1}{2}$ ): (a) $\frac{9}{2}$ (b) $\frac{9}{5}$ (c) $\frac{21}{19}$ (d) $\frac{47}{9}$ (e) $\frac{12}{11}$ (f) $\frac{19}{6}$ Sol. (a) $\frac{9}{2}=4+\frac{1}{2}=4\frac{1}{2}$ (b) $\frac{9}{5}=1+\frac{4}{5}=1\frac{4}{5}$ (c) $\frac{21}{19}=1+\frac{2}{19}=1\frac{2}{19}$ (d) $\frac{47}{9}=5+\frac{2}{9}=5\frac{2}{9}$ (e) $\frac{12}{11}=1\frac{1}{11}=1\frac{1}{11}$ (f) $\frac{19}{6}=3+\frac{1}{6}=3\frac{1}{6}$
• Write the following mixed numbers as fractions: (a) $3\frac{1}{4}$ (b) $7\frac{2}{3}$ (c) $9\frac{4}{9}$ (d) $3\frac{1}{6}$ (e) $2\frac{3}{11}$ (f) $3\frac{9}{10}$ Sol. (a) $3\frac{1}{4}=3+\frac{1}{4}=\frac{3\times 4+1}{4}=\frac{13}{4}$ (b) $7\frac{2}{3}=7+\frac{2}{3}=\frac{7\times 3+2}{3}=\frac{22}{3}$ (c) $9\frac{4}{9}=9+\frac{4}{9}=\frac{9\times 9+4}{9}=\frac{85}{9}$ (d) $3\frac{1}{6}=3+\frac{1}{6}=\frac{3\times 6+1}{6}=\frac{19}{6}$ (e) $2\frac{3}{11}=2+\frac{3}{11}=\frac{2\times 11+3}{11}=\frac{25}{11}$ (f) $3\frac{9}{10}=3+\frac{9}{10}=\frac{3\times 10+9}{10}=\frac{39}{10}$

4.0Key Features and benefits for Class 6 Maths Chapter 7 Exercise 7.5

Comprehensive Coverage: Our NCERT Solutions cover every question from Exercise 7.5, ensuring no topic is left unaddressed.

Step-by-Step Explanations: Each solution is broken down into easy-to-follow steps, making complex problems understandable.

Accuracy and Reliability: Developed by subject matter experts, these solutions are highly accurate and align with the latest NCERT guidelines for the 2025-2026 academic year.

Conceptual Clarity: Beyond just providing answers, our solutions aim to foster a deep understanding of fractional concepts, including addition and subtraction of fractions.

Time-Saving: Quickly find solutions and explanations, saving you valuable study time.

Exam Preparation: Ideal for last-minute revisions and understanding common question patterns.

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