NCERT Solutions For Class 6 Maths, Chapter 7, Fractions, Exercise 7.3 is all about practicing fractions by using Numerator and denominator. Exercise 7.3 NCERT Class 6 maths ch.7 fractions has total nine questions to study. The ex.7.3 chapter 7 also includes matching type questions.
NCERT Solutions For Class 6 Maths, Chapter 7, Fractions, Exercise 7.3
Q.1. Write the fractions. Are all these fractions equivalent?
Ans:
(a) For circle:
(i) The fraction of shaded portion = $\frac{1}{2}$
(ii) The fraction of shaded portion = $\frac{2}{4}=\frac{1}{2}$
(iii) The fraction of shaded portion = $\frac{3}{6}=\frac{1}{2}$
(iv) The fraction of shaded portion = $\frac{4}{8}=\frac{1}{2}$
Yes, all of these fractions are equivalent.
(b) For rectangle:
(i) The fraction of shaded portion = $\frac{4}{12}=\frac{1}{3}$
(ii)The fraction of shaded portion = $\frac{3}{9}=\frac{1}{3}$
(iii) The fraction of shaded portion = $\frac{2}{6}=\frac{1}{2}$
(iv) The fraction of shaded portion = $\frac{1}{3}$
(v) The fraction of shaded portion = $\frac{6}{15}=\frac{2}{5}$
No, these fractions are not equivalent.
Q.2. Write the fractions and pair up the equivalent fractions from each row.
Ans:
Q.4. Find the equivalent fraction of 3/5 having
(a) denominator 20 (b) numerator 9
(c) denominator 30 (d) numerator 27
Ans:
Q.5. Find the equivalent fraction of $\frac{36}{48}$ with (a) Numerator 9 (b) Denominator 4
Ans:
Q.6. Check whether the given fractions are equivalent:
$(a)\,\,\frac{5}{9},\frac{30}{54}$
$(b)\,\,\frac{3}{10},\frac{12}{50}$
$(c)\,\,\frac{7}{13},\frac{5}{11}$
Ans:
Q.7. Reduce the following fractions to simplest form:
$(a)\,\,\frac{48}{60}$
$(b)\,\,\frac{150}{60}$
$(c)\,\,\frac{84}{98}$
$(d)\,\,\frac{12}{52}$
$(e)\,\,\frac{7}{28}$
Ans:
Q.8. Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?
Ans: Ramesh :
Total number of pencils = 20
Number of pencils used = 10
∴ Fraction = $\frac{10}{20}=\frac{1}{2}$
Sheelu:
Total number of pencils = 50
Number of pencils used = 25
∴ Fraction = $\frac{25}{50}=\frac{1}{2}$
Jamal :
Total number of pencils = 80
Number of pencils used = 40
∴ Fraction = $\frac{40}{80}=\frac{1}{2}$
Yes, each has used up an equal fraction of pencils i.e.,
Q.9. Match the equivalent fractions and write two more for each.
Ans:
