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Toggle**NCERT Solutions For Class 6 Maths, Chapter 7, Fractions, Exercise 7.4 i**nvolves questions on comparing fractions in terms of greatness. Ex. 7.4 class 6 maths has total ten questions to study. class 6 maths chapter 7 ex. 7.4 consists of questions related to percentage also.

## NCERT Solutions For Class 6 Maths, Chapter 7, Fractions, Exercise 7.4

**Q.1. Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:**

**(c) Show 2/6, 4/6, 8/6 and 6/6 on the number line. Put appropriate signs between the fractions given. **

**Ans:**

(a) Total parts in circle = 8

(i) No. of shaded portion = 3

∴ Fraction of shaded portion = $\frac{3}{8}$

(ii) No. of shaded portion = 6

∴ Fraction of shaded portion = $\frac{6}{8}$

(iii) No. of shaded portion = 4

∴ Fraction of shaded portion = $\frac{4}{8}$

(iv) No. of shaded portion = 1

∴ Fraction of shaded portion = $\frac{1}{8}$

Now, we have fractions = $\,\frac{3}{8}\,\frac{6}{8}\,\frac{4}{8},\,\frac{1}{8}$

Ascending order: $\,\,\frac{1}{8}\,\,<\,\,\frac{3}{8}\,\,\,<\,\,\frac{4}{8}<\,\,\frac{6}{8}$

**(b) Total parts in square = 9**

(i) No. of shaded portion = 8

∴ Fraction of shaded portion = $\frac{8}{9}$

(ii) No. of shaded portion = 4

∴ Fraction of shaded portion = $\frac{4}{9}$

(iii) No. of shaded portion = 3

∴ Fraction of shaded portion = $\frac{3}{9}$

(iv) No. of shaded portion = 6

∴ Fraction of shaded portion = $\frac{6}{9}$

Now, we have fractions = $\,\frac{8}{9}\,,\,\frac{4}{9}\,,\frac{3}{9},\,\frac{6}{9}$

Ascending order: $\,\,\frac{3}{9}\,<\,\frac{4}{9}\,<\,\frac{6}{9}<\,\frac{8}{9}$

Descending order: $\,\frac{8}{9}\,>\,\frac{6}{9}\,>\,\frac{4}{9}\,>\,\frac{3}{9}$

**(c) here , **each unit length is divided into 6 equal parts to represent the fractions $\frac{2}{6}$, $\frac{4}{6}$, $\frac{8}{6}$ and $\frac{6}{6}$ on number line.

**Q.2. Compare the fractions and put an appropriate sign.**

**Ans:**

Here both fractions have same denominator, so, the fraction with the greater numerator is greater.

$\therefore \frac{3}{6}<\frac{5}{6}$

Here both fractions have same denominators. So, the fraction with greater numerator is the highest factor

$\therefore \frac{4}{5}<\frac{5}{5}$

**Q.3. Make five more such pairs and put appropriate signs.**

**Ans:**

**Q.4. Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.**

**Make five more such problems and solve them with your friends.**

**Ans:**

**Q.5. How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’)**

**Ans:**

**Q.6. The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.**

**Ans:**

**Q.7. Find answers to the following. Write and indicate how you solved them.**

**(a) Is $\frac{5}{9}\,$equal to $\frac{4}{5}\,$ ?**

**(b) Is $\frac{9}{16}\,$equal to $\frac{5}{9}\,$?**

**(c) Is $\frac{4}{5}\,$equal to $\frac{16}{20}\,$?**

**(d) Is $\frac{1}{15}$equal to $\frac{4}{30}$ ?**

**Ans:**

**Q.8. Ila read 25 pages of a book containing 100 pages. Lalita read $\frac{2}{5}$ of the same book. Who read less?**

**Ans: **Total number of pages in book = 100

Part of book Lalita read = $\frac{2}{5}\times100$= 40 pages

Ila read = 25 pages

Therefore, Ila read less than Lalita.

**Q.9. Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$of an hour. Who exercised for a longer time?**

**Ans:**

**Q.10. In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?**

**Ans: **Total number of students in Class A = 25

Students passed in first class in Class A = 20

Hence, fraction = $\frac{20}{25}=\frac{4}{5}$

Total number of students in Class B = 30

Students passed in first class in Class B = 24

Hence, fraction = $\frac{24}{30}=\frac{4}{5}$

Hence, each class have same fraction of student getting with 60% or more marks.