## Maharashtra State Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 12

Question 1.

Multiply:

i. \(\frac{7}{5} \times \frac{1}{4}\)

ii. \(\frac{6}{7} \times \frac{2}{5}\)

iii. \(\frac{5}{9} \times \frac{4}{9}\)

iv. \(\frac{4}{11} \times \frac{2}{7}\)

v. \(\frac{1}{5} \times \frac{7}{2}\)

vi. \(\frac{9}{7} \times \frac{7}{8}\)

vii. \(\frac{5}{6} \times \frac{6}{5}\)

viii. \(\frac{6}{17} \times \frac{3}{2}\)

Solution:

i. \(\frac{7}{5} \times \frac{1}{4}\)

ii. \(\frac{6}{7} \times \frac{2}{5}\)

iii. \(\frac{5}{9} \times \frac{4}{9}\)

iv. \(\frac{4}{11} \times \frac{2}{7}\)

v. \(\frac{1}{5} \times \frac{7}{2}\)

vi. \(\frac{9}{7} \times \frac{7}{8}\)

vii. \(\frac{5}{6} \times \frac{6}{5}\)

viii. \(\frac{6}{17} \times \frac{3}{2}\)

Question 2.

Ashokrao planted bananas on \(\frac { 2 }{ 7 }\) of his field of 21 acres. What is the area of the banana plantation?

Solution:

Area of banana plantation is \(\frac { 2 }{ 7 }\) of 21

∴ Area of banana plantation

∴ Area of banana plantation is 6 acres

Question 3.

Of the total number of soldiers in our army, \(\frac { 4 }{ 9 }\) are posted on the northern border and one-third of them on the north-eastern border. If the number of soldiers in the north is 5,40,000, how many are posted in the north-east?

Solution:

Number of soldiers posted on northern border = 5,40,000

Since, number of soldiers in north-east = one third of the soldiers on northern border

∴ Number of soldiers in the north-east

∴ The number of soldiers in the north-east is 1,80,000.