Question

find the reciprocal.$\frac{5}{6}$resourcesread itsubmit answer19. -/1 points 0/100 submissions usedmultiply as indicated. reduce to simplest form.$\frac{2}{3} cdot 6$

Explanation:

Step1: Find reciprocal of $\frac{5}{6}$

The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$, so reciprocal of $\frac{5}{6}$ is $\frac{6}{5}$.

Step2: Rewrite integer as fraction

Write $6$ as $\frac{6}{1}$, so $\frac{2}{3} \cdot 6 = \frac{2}{3} \cdot \frac{6}{1}$

Step3: Multiply numerators and denominators

$\frac{2 \times 6}{3 \times 1} = \frac{12}{3}$

Step4: Simplify the fraction

$\frac{12}{3} = 4$

Answer:

Reciprocal of $\frac{5}{6}$: $\boldsymbol{\frac{6}{5}}$
Result of $\frac{2}{3} \cdot 6$: $\boldsymbol{4}$