Question

dividing by a number is the same as multiplying by its reciprocal. find the reciprocal of 2 1/2. 2 2/3 ÷ 5 1/2 = 2 2/3 × 5/2 =

Explanation:

Step1: Convert mixed - numbers to improper fractions

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

Step2: Perform the division operation

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

Step3: Perform the multiplication operation

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

Answer:

$\frac{16}{33}$