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Question

A square is divided into 9 equal squares, out of which 5 squares are shaded. If the shaded portion is expressed in the form of a fraction whose numerator is 25, what will be its denominator ?

This question was previously asked in
CTET 2022 Paper 2 Maths Question Paper (Jan-27-2023) (Eng-Hin-Skt)
The correct answer is

45

The shaded portion of the square is \(\frac{5}{9}\), since 5 out of the 9 equal squares are shaded.

To express this fraction with numerator 25, the numerator and denominator must both be multiplied by the same number: \(25 \div 5 = 5\).

Multiplying the denominator 9 by 5 gives \(9 \times 5 = 45\), so \(\frac{5}{9} = \frac{25}{45}\).

Hence, the denominator of the equivalent fraction is 45.

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