A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Look at the figures and write ’<’, or ’>’, ’=’ between the given pairs of fractions

(a) 1/6 [_] 1/3
(b) 3/4 [_] 2/6
(c) 2/3 [_] 2/4
(d) 6/6 [_] 3/3
(e) 5/6 [_] 5/5
Make five more such problems yourself and solve them with your friends.

Solution:

We use the concepts of fractions and comparing fractions to answer the given question.

(a) 1/6 [<] 1/3 -  The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest.

(b) 3/4 [>] 2/6 - Cross multiplying the denominators and the numerators, we have 3/4 =9/12 and 2/6=4/12. Here, for 9/12 and 4/12, 9 >. The denominators of the two fractions are the same. So, the fraction that has the greater numerator is the largest.

(c) 2/3 [>] 2/4 - The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest.

(d) 6/6 [=] 3/3 - 6/6 and 3/3 can be both simplified to 1 and hence they are equal.

(e) 5/6 [<] 5/5 - The numerators of two given fractions are the same. So, the fraction that has the lesser denominator is the largest.

Five more such problems are:

(a) 1/8 [<] 1/4

(b) 6/8 [>] 4/12

(c) 4/6 [>] 4/8

(d) 4/4 (=) 2/2

(e) 10/12 [<] 10/10

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.4 Question 4

Look at the figures and write ’<’, or ’>’ ’=’ between the given pairs of fractions (a) 1/6 [_] 1/3 (b) 3/4 [_] 2/6 (c) 2/3 [_] 2/4 (d) 6/6 [_] 3/3 (e) 5/6 [_] 5/5. Make five more such problems yourself and solve them with your friends

Summary:

The answers are (a) 1/6 [<] 1/3, (b) 3/4 [>] 2/6, (c) 2/3 [>] 2/4, (d) 6/6 [=] 3/3 and (e) 5/6 [<] 5/5.Five more such problems are (a) 1/8 [<] 1/4, (b) 6/8 [>] 4/12, (c) 4/6 [>] 4/8, (d) 4/4 (=) 2/2 and (e) 10/12 [<] 10/10.

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