NCERT MATHS SOLUTION CLASS 6 EXERCISE 7.2 | FRACTIONS

Find here the step by step NCERT Maths Solution Class 6 Exercise 7.2 | Fractions.

It is advised to go through the following topics before moving to maths solution class 6 exercise 7.2

• Fractions
• Exercise 7.1

Maths Solution Class 6 Exercise 7.2

Questions in Exercise 7.2 are based on Proper fractions, Improper Fractions and Mixed Fractions and their representation on the number line.

A fraction whose numerator is less than it’s denominator is called a Proper Fraction. It’s value is less than 1.

A fraction whose numerator is greater than it’s greater is called a Improper Fraction.

Mixed fraction
is a combination of the whole part and the fractional part of a improper fraction.

EXERCISE 7.2
Fraction on the Number line | Proper, Improper & Mixed Fractions

QUESTION 1

Draw number lines and locate the points on them:

(a) \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4}

(b) \frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{7}{8}

(c) \frac{2}{5}, \frac{3}{5}, \frac{8}{5}, \frac{4}{5}

ANSWER

(a)

Fractions on the number line

(b)

maths solution class 6 exercise 7.2 | Fractions on the number line

(c)

maths solution class 6 exercise 7.2 | Fractions on the number line

ℹ Proper Fractions lie between 0 and 1. Numerator of a proper fraction is less than denominator.

ℹ To represent a proper fraction on the number line, length between 0 and 1 is divided into equal number of parts as denominator of the fraction.


NCERT Maths Solution Class 6 Exercise 7.2

QUESTION 2

Express the following fractions as mixed fractions:

(a) \frac{20}{3}

(b) \frac{11}{5}

(c) \frac{17}{7}

(d) \frac{28}{5}

(e) \frac{19}{6}

(f) \frac{35}{9}

ANSWER

(a) \frac{20}{3} = 6\frac{2}{3}

(b) \frac{11}{5} = 3\frac{1}{5}

(c) \frac{17}{7} = 2\frac{3}{7}

(d) \frac{28}{5} = 5\frac{3}{5}

(e) \frac{19}{6} = 3\frac{1}{6}

(f) \frac{35}{9} = 3\frac{8}{9}


ℹ Mixed fraction = Quotient \frac{Remainder}{Divisor}


NCERT Maths Solution Class 6 Exercise 7.2

QUESTION 3

Express the following as improper fractions:

(a) 7\frac{3}{4}

(b) 5\frac{6}{7}

(c) 2\frac{5}{6}

(d) 10\frac{3}{5}

(e) 9\frac{3}{7}

(f) 8\frac{4}{9}

ANSWER

(a) 7\frac{3}{4} = \frac{28 + 3}{4} = \frac{31}{4}

(b) 5\frac{6}{7} = \frac{35 + 6}{7} = \frac{41}{7}

(c) 2\frac{5}{6} = \frac{12 + 5}{6} = \frac{17}{6}

(d) 10\frac{3}{5} = \frac{50 + 3}{5} = \frac{53}{5}

(e) 9\frac{3}{7} = \frac{63 + 3}{7} = \frac{66}{7}

(f) 8\frac{4}{9} = \frac{72 + 4}{9} = \frac{76}{9}

NCERT SOLUTIONS CLASS 6 MATHS CHAPTER 7 FRACTIONS

Check NCERT Solutions of other exercises from Class 6 Maths Chapter 7 Fractions by clicking the links given below.

• Exercise 7.1
• Exercise 7.2
• Exercise 7.3
• Exercise 7.4
• Exercise 7.5
• Exercise 7.6

We hope NCERT Maths Solution Class 6 Exercise 7.2 has helped you understand how to represent a fraction on the number line and what are proper fractions, improper fractions and mixed fractions.

Please write in the comment section to report any error or any solution related queries from the exercise. [ NCERT Maths Solution Class 6 Exercise 7.2 ]

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