Rearrange in ascending order. 1 2 , 1 5 , 1 3 , 1 4 , 1 6 , 1 8

Given to rearrange in ascending order. 1 2 , 1 5 , 1 3 , 1 4 , 1 6 , 1 8 In a fraction, the top number is called the numerator and the bottom number is called the denominator. Numerators of given fractions are 1 . We can observe, the given fractions have same numerators. Since, the numerators are the same, the fraction with the greater denominator is the smaller fraction and the fraction with the lesser denominator is the greater fraction. ∴ 1 2 > 1 3 > 1 4 > 1 5 > 1 6 > 1 8 Therefore, ascending order is 1 8 , 1 6 , 1 5 , 1 4 , 1 3 , 1 2 .

Rearrange in descending order. 1 2 , 1 3 , 1 4 , 1 8 , 1 5 , 1 6

Given to rearrange in descending order. 1 2 , 1 3 , 1 4 , 1 8 , 1 5 , 1 6 In a fraction, the top number is called the numerator and the bottom number is called the denominator. Numerators of given fractions are 1 . We can observe, the given fractions have same numerators. Since, the numerators are the same, the fraction with the greater denominator is the smaller fraction and the fraction with the lesser denominator is the greater fraction. Comparing denominators: 2 < 3 < 4 < 5 < 6 < 8 . ∴ 1 2 > 1 3 > 1 4 > 1 5 > 1 6 > 1 8 Therefore, descending order is 1 2 , 1 3 , 1 4 , 1 5 , 1 6 , 1 8 .

Convert the following into mixed fraction: 101 8

We know that, a fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Given fraction is 101 8 . Divide the numerator by denominator, to get a quotient and remainder. By dividing 101 8 , we will get remainder is 5 and quotient is 12 . Mixed numbers contain both a whole number and a fraction. The whole number of a mixed fraction is quotient obtained. So, 12 is the whole number. Remainder becomes new numerator of a mixed fraction with same denominator as it is. ⇒ 12 + 5 8 = 12 × 8 + 5 8 = 101 8 = 12 5 8 . So, the mixed fraction of 101 8 is 12 5 8 .

Convert the following into mixed fraction: 17 5

We know that, a fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Given fraction is 17 5 . Divide the numerator by denominator, to get a quotient and remainder. By dividing 17 5 , we will get remainder is 2 and quotient is 3 . Mixed numbers contain both a whole number and a fraction. The whole number of a mixed fraction is quotient obtained. So, 3 is the whole number. Remainder becomes new numerator of a mixed fraction with same denominator as it is. ⇒ 3 + 2 5 = 3 × 5 + 2 5 = 17 5 = 3 2 5 . So, the mixed fraction of 17 5 is 3 2 5 .

Convert the following into mixed fraction: 95 13

We know that, a fraction in which the numerator is equal to or greater than the denominator is called an improper fraction. Given fraction is 95 13 . Divide the numerator by denominator, to get a quotient and remainder. By dividing 95 13 , we will get remainder is 4 and quotient is 7 . Mixed numbers contain both a whole number and a fraction. The whole number of a mixed fraction is quotient obtained. So, 7 is the whole number. Remainder becomes new numerator of a mixed fraction with same denominator as it is. ⇒ 7 + 4 13 = 7 × 13 + 4 13 = 95 13 = 7 4 13 . So, the mixed fraction of 95 13 is 7 4 13 .

E M B I B E

ThinkTrail NUMBER CHRONICLES A Coursebook for Mathematics Grade 4>Chapter 7 - Fractions>NA

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Author:Amit Rastogi

Amit Rastogi Mathematics Solutions for Exercise - NA

Simple step-by-step solutions to NA questions of Fractions from ThinkTrail NUMBER CHRONICLES A Coursebook for Mathematics Grade 4. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.