4/5 × 23/4 / 5/8 = ?

Correct Answer is : 31325313/2532513

Correct Answer is : 31325313/2532513

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IBPS Clerk Prelims Model Paper 6

Question : 9 of 100

Marks: +1, -0

\frac{4}{5} \times 2\frac{3}{4}

\frac{5}{8}

= ?

Solution:

Concept:

Convert the mixed fraction, then divide by multiplying with the reciprocal.

Explanation:

Given:

\left(\frac{4}{5} \times 2\frac{3}{4}\right) \div \frac{5}{8}

Convert

2\frac{3}{4}

to an improper fraction:

2\frac{3}{4} = \frac{11}{4}

So,

\frac{4}{5} \times \frac{11}{4} = \frac{11}{5}

Now divide by

\frac{5}{8}

\frac{11}{5} \div \frac{5}{8} = \frac{11}{5} \times \frac{8}{5} = \frac{88}{25}

Convert to mixed fraction:

\frac{88}{25} = 3\frac{13}{25}

Answer:

3\frac{13}{25}

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