What is the value of x in the equation $\frac{7}{8} x = \frac{5}{6}$ $7/8x=5/6$ ?

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What is the value of x in the equation $\frac{7}{8} x = \frac{5}{6}$ $7/8x=5/6$ ?

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Answer 1 · 2018-03-20T14:05:38

$x = \frac{20}{21}$ $x=20/21$

Explanation:

First, divide both sides by $\frac{7}{8}$ $7/8$ to get $x = \frac{\frac{5}{6}}{\frac{7}{8}}$ $x=(5/6)/(7/8)$ . Next, simplify the right side to get $x = \frac{5}{6} \cdot \frac{8}{7} = \frac{40}{42}$ $x=5/6*8/7=40/42$ , which equals $\frac{20}{21}$ $20/21$ .

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What is the value of x in the equation $\frac{7}{8} x = \frac{5}{6}$ $7/8x=5/6$ ?

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What is the value of x in the equation $\frac{7}{8} x = \frac{5}{6}$ $7/8x=5/6$ ?