Question

Using appropriate properties, find   3/5   + 5/2   - 3/5   X 1/6​

Answer 1

${\huge{\underline{\large{\mathbb{\green{VERIFIED \: ANSWER}}}}}}$

$\tt \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

First Solve :-

$\tt \frac{3}{5} + \frac{5}{2}$

Find The L.C.M of 5 and 2

Hence L.C.M is :- 10

$\tt \frac{3 \times 2}{5 \times 2} = \frac{6}{10}$

$\tt \frac{5 \times 5}{2 \times 5} = \frac{25}{10}$

Lets Add Them:-

$\tt \frac{6}{10} + \frac{25}{10}$

$\tt = \frac{6 + 25}{10} = \frac{31}{10}$

Now:-

$\tt \frac{31}{10} - \frac{3}{5}$

Find L.C.M of 10 and 5

Hence L.C.M of 10 and 5 = 10

$\tt \frac{31 \times 1}{10 \times 1} = \frac{31}{10}$

$\tt \frac{3 \times 2}{5 \times 2} = \frac{6}{10}$

Lets Subtract each other

$\tt \frac{31}{10} - \frac{6}{10}$

$\tt \frac{31 - 6}{10}$

$\tt = \frac{25}{10}$

Now:-

$\tt \frac{25}{10} \times \frac{1}{6}$

$\tt = \frac{25 \times 1}{10 \times 6}$

$\tt= \frac{25}{60}$

$\tt= \frac{25 \div 5}{60 \div 5} = \frac{5}{12}$

So The Answer Is :-

$\frac{5}{12}$