List of top Mathematics Questions on Multiplication Of Fractions

Multiply and reduce to lowest form (if possible) :
(i) \(\frac{2}{3}\) × 2 \(\frac{2}{3}\)
(ii) \(\frac{2}{7}\) × \(\frac{7}{9}\)
(iii) \(\frac{3}{8}\) × \(\frac{6}{4}\)
(iv) \(\frac{9}{4}\) × \(\frac{3}{5}\)
(v) \(\frac{1}{3}\)× \(\frac{15}{8}\)
(vi) \(\frac{11}{2}\) × \(\frac{3}{10}\)
(vii) \(\frac{4}{5}\) × \(\frac{12}{7}\)

Multiply and reduce to the lowest form and convert into a mixed fraction:
(i) 7 × \(\frac{3}{5}\)
(ii) 4 × \(\frac{1}{3}\)
(iii) 2 × \(\frac{6}{7}\)
(iv) 5 ×\(\frac{2}{9}\)
(v) \(\frac{2}{3}\)× 4
(vi) \(\frac{5}{2}\) × 6
(vii) 11 × \(\frac{4}{7}\)
(viii) 20 × \(\frac{4}{5}\)
(ix) 13 × \(\frac{1}{3}\)
(x) 15 × \(\frac{3}{5}\)

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed 2 / 5 of the water. Pratap consumed the remaining water.
(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?

Multiply the following fractions:
(i) \(\frac{2}{5}\) × 5 \(\frac{1}{4}\)
(ii) 6 \(\frac{2}{5}\) × \(\frac{7}{9}\)
(iii)\(\frac{3}{2}\) × 5 \(\frac{1}{3}\)
(iv) \(\frac{5}{6}\) × 2 \(\frac{3}{7}\)
(v) 3 \(\frac{2}{5}\)× \(\frac{4}{7}\)
(vi) 2 \(\frac{3}{5}\) × 3
(vii) 3 \(\frac{4}{7}\) × \(\frac{3}{5}\)

Which is greater:
(i) \(\frac{2}{7}\)of \(\frac{3}{4}\) or \(\frac{3}{5}\) of \(\frac{5}{8}\)
(ii) \(\frac{1}{2}\) of \(\frac{6}{7}\) or \(\frac{2}{3}\) of \(\frac{3}{7}\)

(a) 
(i) Provide the number in the box , such that \(\frac{2}{3}\)× __= \(\frac{10}{30}\).
(ii) The simplest form of the number obtained in __ is _____.
(b) 
(i) Provide the number in the box , such that \(\frac{3}{5}\) × __=\(\frac{24}{75}\).
(ii) The simplest form of the number obtained in __is _____.

Multiply and express as a mixed fraction :
(a) 3 × 5 \(\frac{1}{5}\)
(b) 5 × 6 \(\frac{3}{4}\)
(c) 7 × 2 \(\frac{1}{4}\)
(d) 4 × 6 \(\frac{1}{3}\)
(e) 3 \(\frac{1}{4}\) × 6
(f) 3 \(\frac{2}{5}\) × 8

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is \(\frac{3}{4}\) m. Find the distance between the first and the last sapling.

A car runs 16 km using 1 litre of petrol. How much distance will it cover using 2\(\frac{3}{4}\)litres of petrol.

Lipika reads a book for 1\(\frac{3}{4}\) hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Find: 
(i) \(\frac{1}{4}\) of (a) \(\frac{1}{4}\) (b) \(\frac{3}{5}\) (c) \(\frac{4}{3}\)
(ii) \(\frac{1}{7}\) of (a) \(\frac{2}{9}\) (b) \(\frac{6}{5}\) (c) \(\frac{3}{10}\)

Shade: (i) \(\frac{1}{2}\) of the circles in box (a)
(ii) \(\frac{2}{3}\) of the triangles in box (b)
(iii) \(\frac{3}{5}\) of the squares in box (c).

Find:
(a) \(\frac{1}{2}\) of (i) 24 (ii) 46
(b) \(\frac{2}{3}\) of (i) 18 (ii) 27
(c) \(\frac{3}{4}\) of (i) 16 (ii) 36
(d) \(\frac{4}{5}\) of (i) 20 (ii) 35