IPMAT Rohtak 2019 (QA) - What will be the vulgar fraction of 0.0056? | PYQs + Solutions

IPMAT Rohtak 2019

Arithmetic

Percentages

Easy

What will be the vulgar fraction of 0.0056?

\frac{7}{1250}

\frac{7}{1175}

\frac{7}{1150}

\frac{7}{1275}

Correct Option: 1

0.0056 = \frac{56}{10000}

Let's reduce this fraction:

Factoring:

\newline

56 = 2^3 \times 7

\newline

10000 = 2^4 \times 5^4

\frac{56}{10000} = \frac{2^3 \times 7}{2^4 \times 5^4}

= \frac{7}{2 \times 5^4}

= \frac{7}{2 \times 625}

= \frac{7}{1250}