Question

\dfrac{-2}{3} \div 2\dfrac{1}{4} = 3 −2 ​ ÷2 4 1 ​

Answer 1

Answer:

$\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}$

Step-by-step explanation:

Given

$\dfrac{-2}{3} \div 2\dfrac{1}{4} =$

Required

Solve

Start by converting the mixed number to improper fraction

$\dfrac{-2}{3} \div \dfrac{9}{4} =$

Convert the division to muliplication

$\dfrac{-2}{3} * \dfrac{4}{9} =$

$\dfrac{-2*4}{3*9}=$

$\dfrac{-8}{27}$

Hence:

$\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}$