Question

Simplify:- a) 16/5÷8/20 + 15/5 ÷ 3/35. b) 3/2÷4/5 + 9/5÷10/3.

Answer 1

Answer:

a) 16/5÷8/20 + 15/5 ÷ 3/35=2+5=7

Answer 2

$\LARGE\sf {\underline{\underline\green{Required \: Answer:-}}}$

a)

Given:

$\sf{ \dfrac{16}{5} \div \dfrac{8}{20} }$

Solution with explanation:

$\sf{First, We \: should \: find \: LCM \: of \: denominators.}$

$\sf{LCM \: of \: denominators \: 5,20: 5 \times 2 \times 2 = 20.}$

Now, as we already know, we should find in how many times does the obtained LCM goes in denominators.

Let's see, ↓↓↓

$\sf{ \rightarrow\dfrac{4 \times 16 + 1 \times 8}{20} } = \dfrac{64 + 8}{20} = \dfrac{72}{20} \\ \\ \\ \sf { \rightarrow\dfrac{72}{20} = \frac{18}{5} .}$

$\sf{ \therefore Required \: answer: \dfrac{18}{5} }$