Question

equation practice (show your work)

1. 3/4 ÷ 2 = __
2. 5/6 ÷ 3 = __
3. 7/8 ÷ 4 = __

Explanation:

Step1: Solve $\frac{3}{4}\div2$

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of 2 is $\frac{1}{2}$. So, $\frac{3}{4}\div2=\frac{3}{4}\times\frac{1}{2}=\frac{3\times1}{4\times2}=\frac{3}{8}$.

Step2: Solve $\frac{5}{6}\div3$

The reciprocal of 3 is $\frac{1}{3}$. Then, $\frac{5}{6}\div3=\frac{5}{6}\times\frac{1}{3}=\frac{5\times1}{6\times3}=\frac{5}{18}$.

Step3: Solve $\frac{7}{8}\div4$

The reciprocal of 4 is $\frac{1}{4}$. Thus, $\frac{7}{8}\div4=\frac{7}{8}\times\frac{1}{4}=\frac{7\times1}{8\times4}=\frac{7}{32}$.

Answer:

1. $\frac{3}{8}$; 2) $\frac{5}{18}$; 3) $\frac{7}{32}$