Question

1\frac{1}{2}\div\frac{3}{11}=
\frac{3}{2}\times\frac{11}{3}=
?
1\frac{1}{2}\div2\frac{2}{3}=

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$, $2\frac{1}{3}=\frac{2\times3+1}{3}=\frac{7}{3}$, $\frac{11}{3}$ remains the same.

Step2: Calculate $\frac{11}{3}\div1\frac{1}{2}$

$\frac{11}{3}\div\frac{3}{2}=\frac{11}{3}\times\frac{2}{3}=\frac{22}{9}$

Step3: Calculate $\frac{11}{3}\times2\frac{1}{3}$

$\frac{11}{3}\times\frac{7}{3}=\frac{77}{9}$

Step4: Calculate $1\frac{1}{2}\div2\frac{1}{3}$

$\frac{3}{2}\div\frac{7}{3}=\frac{3}{2}\times\frac{3}{7}=\frac{9}{14}$

Answer:

$\frac{22}{9},\frac{77}{9},\frac{9}{14}$