Question

Mark the correct alternative in each of the following:

When 0.48 is written in the simplest form of its terms, the sum of its numerator and denominator is

(a) 148 (b) 74 (c) 37 (d) 147

Answer 1

$$\begin{gathered} 0.48=\frac{48}{100} \\ =\frac{48÷4}{100÷4}\left(\mathrm{HCF}\hspace{0.17em}\mathrm{of}48\mathrm{and}100=4\right) \\ =\frac{12}{25} \end{gathered}$$

Here,

Numerator = 12

Denominator = 25

∴ Sum of the numerator and denominator = 12 + 25 = 37

Hence, the correct answer is option (c).