Question

Simplify 3/8 ×{5+{11/5-(4/3-2/15} ÷9/4​

Answer 1

ANSWER:

$\frac{3}{8}\left\{5+\frac{11}{5}-\left(\frac{4}{3}-\frac{2}{15}\right)\right\}\div \frac{9}{4}$

We calculate the expression inside the parentheses and we solve step by step

$\left\{5+\frac{11}{5}-\left(\frac{4}{3}-\frac{2}{15}\right)\right\}$

$5+\frac{11}{5}-\left(\frac{4}{3}-\frac{2}{15}\right)\\\\\left(\frac{4}{3}-\frac{2}{15}\right)=\frac{6}{5}\\\\=5+\frac{11}{5}-\frac{6}{5}\\\\5+\frac{11}{5}-\frac{6}{5}\\\\5+\frac{11}{5}=\frac{36}{5}\\\\=\frac{36}{5}-\frac{6}{5}\\\\\frac{36}{5}-\frac{6}{5}=6\\\\=6$

$=\frac{3}{8}\cdot \:6\div \frac{9}{4}\\\\\frac{3}{8}\cdot \:6\div \frac{9}{4}\\\\\frac{3}{8}\cdot \:6=\frac{9}{4}\\\\=\frac{9}{4}\div \frac{9}{4}\\\\\boxed{=1}$

GOOD LUCK...

Answer 2

Answer:

1

Step-by-step explanation:

We work with the Order of Operations (BOMDAS)

We do whatever is placed inside the Brackets/ Parentheses first

$\frac{3}{8} * (5 + (\frac{11}{5} - (\frac{4}{3} - \frac{2}{15}) /\frac{9}{4}$

$\frac{3}{8} * (5 + (\frac{11}{5} - (\frac{20}{15} - \frac{2}{15}) /\frac{9}{4}$

$\frac{3}{8} * (5 + (\frac{11}{5} - (\frac{18}{15} ) /\frac{9}{4}$

$\frac{3}{8} * (5 + (\frac{33}{15} - (\frac{18}{15} ) /\frac{9}{4}$

$\frac{3}{8} * (5 + (\frac{15}{15} )/\frac{9}{4}$

$\frac{3}{8} * (5 + (1 )/\frac{9}{4}$

$\frac{3}{8} * (6)/\frac{9}{4}$

After finishing whatever is in the bracket, we complete the equation from right to left

$\frac{3}{8} * (\frac{6}{1} )/\frac{9}{4}$

$\frac{3}{4} * (\frac{3}{1} )/\frac{9}{4}$

$\frac{9}{4} /\frac{9}{4}$

$\frac{9}{4} /\frac{4}{9}$

$=1$

I hope this helped :)