Question

2/3 ÷ 5/2 = 2/3 ÷ 1 1/2
3/2 × 5/2 =

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}$, $5\frac{1}{2}=\frac{5\times2+1}{2}=\frac{11}{2}$, $1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$

Step2: Calculate the left - hand side division

$\frac{8}{3}\div\frac{11}{2}=\frac{8}{3}\times\frac{2}{11}=\frac{16}{33}$

Step3: Calculate the middle multiplication

$\frac{3}{2}\times\frac{11}{2}=\frac{33}{4}$

Step4: Check the equations

The first equation $\frac{8}{3}\div\frac{11}{2}=\frac{8}{3}\times\frac{2}{11}=\frac{16}{33}$ and the second equation $\frac{3}{2}\times\frac{11}{2}=\frac{33}{4}$

Answer:

The results of the operations are $\frac{16}{33}$ for the division and $\frac{33}{4}$ for the multiplication.