Q52. Evaluate:

$$
\left(\frac{1}{5} \div \frac{1}{3}\right) \div \left(\frac{1}{10} + 1 - \frac{8}{10}\right)
$$

Question

Q52. Evaluate:

$$
\left(\frac{1}{5} \div \frac{1}{3}\right) \div \left(\frac{1}{10} + 1 - \frac{8}{10}\right)
$$

Accepted Answer

Solution:
Given expression:
$$ \left(\frac{1}{5} \div \frac{1}{3}ight) \div \left(\frac{1}{10} + 1 - \frac{8}{10}ight) $$
First solve the first bracket:
$$ \frac{1}{5} \div \frac{1}{3} = \frac{1}{5} 	imes \frac{3}{1} $$
$$ = \frac{3}{5} $$
Now solve the second bracket:
$$ \frac{1}{10} + 1 - \frac{8}{10} $$
Write 1 as:
$$ 1 = \frac{10}{10} $$
So,
$$ \frac{1}{10} + \frac{10}{10} - \frac{8}{10} = \frac{3}{10} $$
Now the expression becomes:
$$ \frac{3}{5} \div \frac{3}{10} $$
$$ = \frac{3}{5} 	imes \frac{10}{3} $$
Cancel common factors:
$$ = 2 $$
Therefore,
$$ \boxed{2} $$
Final Answer: **(b) 2**

Answer

Answer

Answer