Question

simplify the following
the final answer is 5/14​

Answer 1

Answer:

- 1 / 4 ÷4/5*-7/8

-1/4÷1/5*-7/2

-1/4*-10/7

10/28

5/14

Answer 2

$\huge\bold{\mathtt{Question \dashrightarrow}}$

$-{\frac{1}{4}}\div({\frac{4}{5}}\times{\frac{-7}{8}})$

$\huge\bold{\mathtt{To\:find \dashrightarrow}}$

The value.

$\huge\bold{\mathtt{Solution \dashrightarrow}}$

$-{\frac{1}{4}}\div({\frac{4}{5}}\times{\frac{-7}{8}})$

$\implies-{\frac{1}{4}}\div[{\frac{\{4\times(-7)\}}{5\times8}}]$

$\implies-{\frac{1}{4}}\div{\frac{-28}{40}}$

$\implies-{\frac{1}{4}}\times{\frac{-40}{28}}$

$\implies-{\frac{1}{4}}\times{\frac{\cancel{-40}}{\cancel{28}}}$

$\implies{\frac{-1}{4}}\times{\frac{-10}{7}}$

$\implies{\frac{\{(-1)\times(-10)\}}{(4\times7)}}$

$\implies{\frac{10}{28}}$

$\implies{\frac{\cancel{10}}{\cancel{28}}}$

$\implies{\frac{5}{14}}$

$\huge\bold{\mathtt{Hence \dashrightarrow}}$

$-{\frac{1}{4}}\div({\frac{4}{5}}\times{\frac{-7}{8}})={\frac{5}{14}}$

$\huge\bold{\mathtt{Therefore \dashrightarrow}}$

The value of $-{\frac{1}{4}}\div({\frac{4}{5}}\times{\frac{-7}{8}})$ is ${\frac{5}{14}}.$

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$