Question

Simplify  (3/4+5/6) ×5/3​

Answer 1

Answer:

The right answer of this question

Answer 2

$\huge \mathtt{ \fcolorbox{red}{violet}{Answer}}$

$\blue\Rightarrow \: \ \frac \pink{95} \pink{36}$

$\mathtt{ \fcolorbox{red}{violet}{Step-by-step \: explanation}}$

$\bf {\bigg( \frac{3}{4} + \frac{5}{6} \bigg) \: \times \: \frac{5}{3} }$

LCM of 4 and 6 are as follows : $\begin{array}{r | l}2 & 4\:,\:6 \\2& 2\:,\:3 \\3& 1\:,\:3 \\ & 1\:,\:1\end{array}$

LCM of 4 and 6 is 2 × 2 × 3 = 12

$\blue\Rightarrow$$\bf{\bigg( \frac{(3 \times 3) + (2 \times 5)}{12} \bigg) \: \times \: \frac{5}{3} }$

$\blue\Rightarrow$$\bf{\bigg( \frac{(9) + (10)}{12} \bigg) \: \times \: \frac{5}{3} }$

$\blue\Rightarrow$$\bf{ \frac{19}{12} \: \times \: \frac{5}{3} }$

$\blue\Rightarrow$$\bf{ \frac{19 \times 5}{12 \times 3} \: = \frac{95}{36}}$