Identify the like fractions: 1 3 , 4 6 , 7 9 , 1 9 , 3 4

Given, 1 3 , 4 6 , 7 9 , 1 9 , 3 4 We know that, The fractions with the same denominators are called like fractions. The fractions with different denominators are called unlike fractions. So, 1 3 , 4 6 , 3 4 are having different denominators. So, they are unlike fractions. 7 9 and 1 9 are having same denominators. So, they are like fractions. Hence, 7 9 , 1 9 are like fractions from the given fractions.

What is the reciprocal of 3 8 ?

Given fraction, 3 8 To find the reciprocal of a fraction, we simply swap the numerator and the denominator. If 4 5 is reciprocal of 5 4 . Therefore, 3 8 is reciprocal of 8 3 .

Identify the simplest form of 3 12 .

Given fraction is 3 12 . We have to write the given fraction into the simplest form. The simplest form is the smallest possible equivalent fraction of the number. H.C.F of 3 and 12 is 3 . To divide the numerator and denominator by highest common factor. i.e. 3 . ⇒ 3 12 = 3 12 ÷ 3 3 = 1 4 Hence, the simplest form of 3 2 is 1 4 .

Given, 1 3 of 128 We need to simplify the given expression. Fraction acts as an operator of 'of' represents multiplication. So, 1 3 × 128 = 42 . 67 Hence, the required answer is 42 . 67 .

Given, 4 × 1 5 We need to simplify the given expression. To multiply a fraction by a whole number we multiply the whole number by the numerator of the fraction, keeping the denominator of the fraction same. For example: 7 × 2 3 = 14 3 So, 4 × 1 5 = 4 5 Hence, the required answer is 4 5 .

Given, 2 3 × 1 9 We need to simplify the given expression. Product of fractions = Product of the numerators Product of the denominators So, product of fractions = 2 × 1 3 × 9 = 2 27 Hence, the required answer is 2 27 .

E M B I B E

New Maths Buzz An Activity-based Course in Mathematics>Chapter 2 - Fractions>Mental Maths

Dipali Sengupta and Bijo Thoms Solutions for Chapter: Fractions, Exercise 10: Mental Maths

Author:Dipali Sengupta & Bijo Thoms

Dipali Sengupta Mathematics Solutions for Exercise - Dipali Sengupta and Bijo Thoms Solutions for Chapter: Fractions, Exercise 10: Mental Maths

Attempt the free practice questions on Chapter 2: Fractions, Exercise 10: Mental Maths with hints and solutions to strengthen your understanding. New Maths Buzz An Activity-based Course in Mathematics solutions are prepared by Experienced Embibe Experts.