Equivalent fractions 2

Write the equivalent multiplication expression.

2 1/6÷3/4

Correct answer:

x =  2.8889

Step-by-step explanation:

$$\begin{gathered} a=2{\displaystyle \frac{1}{6}}=2+{\displaystyle \frac{1}{6}}={\displaystyle \frac{2\cdot 6+1}{6}}={\displaystyle \frac{13}{6}}\doteq 2.1667 \\ b={\displaystyle \frac{3}{4}}=0.75 \\ x=a\mathrm{/}b=2.1667\mathrm{/}0.75={\displaystyle \frac{26}{9}}=2\frac{8}{9}\doteq 2.8889=2.8889 \\ {x}_1={\displaystyle \frac{2\cdot 6+1}{6}}\cdot {\displaystyle \frac{4}{3}}={\displaystyle \frac{26}{9}}=2\frac{8}{9}\doteq 2.8889 \\ {x}_2={\displaystyle \frac{4\cdot (2\cdot 6+1)}{6\cdot 3}}={\displaystyle \frac{26}{9}}=2\frac{8}{9}\doteq 2.8889 \end{gathered}$$

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