Express 15 4 as a mixed fraction.

The given fraction is 15 4 . To convert an improper fraction into a mixed fraction, divide the numerator by the denominator. Thus, we get 3 →Quotient 4 1 5 - 1 2 3 →Remainder Mixed fraction = Quotient Remainder Denominator So, 15 4 = 3 3 4 Hence, the required mixed fraction is 3 3 4 .

Express 6 2 7 as an improper fraction.

The given fraction is 6 2 7 . We have to express the given mixed fraction into an improper fraction. We know that, A mixed fraction can be expressed as an improper fraction as: ( Whole × Denominator ) + Numerator Denominator . Now, 6 2 7 = 6 × 7 + 2 7 = 42 + 2 7 = 44 7 Therefore, the required improper fraction is 44 7 .

Write three fractions equivalent to 5 8 .

We are given to write three fractions equivalent to 5 8 . To get a fraction equivalent to 5 8 , multiply the numerator and denominator of 5 8 by the same non-zero number. So, 5 8 = 5 × 2 8 × 2 = 5 × 3 8 × 3 = 5 × 10 8 × 10 . ∴ 5 8 = 10 16 = 15 24 = 50 80 . Hence, the three fractions are equivalent to 5 8 are 10 16 , 15 24 , and 50 80 .

Find the fraction equivalent to 7 3 with numerator 21 .

To find the fraction equivalent to 7 3 with a numerator of 21 . We need to multiply both the numerator and denominator of 7 3 by the same number to obtain the desired numerator of 21 . To calculate the equivalent fraction, we can multiply the numerator and denominator of 7 3 by 3 : i.e., 7 3 × 3 3 = 21 9 Therefore, the fraction equivalent to 7 3 with a numerator of 21 is 21 9 .

Find the fraction equivalent to 4 28 with denominator 7 .

To find the fraction equivalent to 4 28 with a denominator of 7 . We need to divide both the numerator and denominator of 4 28 by the same number to obtain the desired denominator of 7 . To get the denominator as 7 , we should divide 28 by 4 . To calculate the equivalent fraction, we can divide the numerator and denominator of 4 28 by 4 : i.e., 4 28 ÷ 4 4 = 1 7 Therefore, the fraction equivalent to 4 28 with a denominator of 7 is 1 7 .

Reduce 56 72 to its simplest form.

To reduce the fraction 56 72 to its simplest form, we need to find the highest common factor (HCF) of the numerator and denominator and divide both by that value. The HCF of 56 and 72 is 8 . By dividing both the numerator and denominator by 8 , we can simplify the fraction: 56 72 ÷ 8 8 = 7 9 Therefore, the simplest form of the fraction 56 72 is 7 9 .

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Maths Express>Chapter 6 - Fractions>Solved Examples

Solved Examples

Author:Jayashree Vipin

Jayashree Vipin Mathematics Solutions for Exercise - Solved Examples

Simple step-by-step solutions to Solved Examples questions of Fractions from Maths Express. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.