Question

Simplify Simplify Simplify Simplify Simplify Simplify​

Answer 1

Answer:

$\frac{1}{4}$

Step-by-step explanation:

$\frac{4}{5} of \frac{1}{6} \div \frac{8}{15} \\ = \frac{4}{5} \times \frac{1}{6} \div \frac{8}{15} \\ = \frac{4}{30} \times \frac{15}{8} \\ = \frac{1}{4}$

Answer 2

Answer:

The value of  $\frac{4}{5} \:of\: \frac{1}{6} \div\frac{8}{15}$ is 1/4 .

Step-by-step explanation:

Given -

$\frac{4}{5} \:of\: \frac{1}{6} \div\frac{8}{15}$

To find -

The value of  $\frac{4}{5} \:of\: \frac{1}{6} \div\frac{8}{15}$

Solution -

Given equation,

$\frac{4}{5} \:of\: \frac{1}{6} \div\frac{8}{15}$

We can write it as,

= $\frac{4}{5} \times\: \frac{1}{6} \div\frac{8}{15}$

Divide 4 and 6 by 2 we get

= $\frac{2}{5} \times\: \frac{1}{3} \div \frac{8}{15}$

= $\frac{2\times1}{5 \times3} \div \frac{8}{15}$

= $\frac{2}{15} \div\frac{8}{15}$

By converting divide into multiplication the term get inverse .

= $\frac{2}{15} \times \frac{15}{8}$

= $\frac{2}{8}$

Divide 8 by 2 we get,

= $\frac{1}{4}$

∴ The value of  $\frac{4}{5} \:of\: \frac{1}{6} \div\frac{8}{15}$ is 1/4 .