Question

1. (3/6 ÷ 1/12) · 3 =
2. 40 ÷ (7/8 · 16/21) =

Explanation:

Step1: Solve the division in parentheses for 19

First, calculate $\frac{3}{6}\div\frac{1}{12}$. When dividing by a fraction, we multiply by its reciprocal. So $\frac{3}{6}\div\frac{1}{12}=\frac{3}{6}\times12$.
$\frac{3}{6}\times12 = 6$

Step2: Multiply the result by 3 for 19

$6\times3 = 18$

Step3: Solve the multiplication in parentheses for 20

Calculate $\frac{7}{8}\times\frac{16}{21}$. Multiply the numerators together and the denominators together: $\frac{7\times16}{8\times21}=\frac{112}{168}$, and simplify it to $\frac{2}{3}$.

Step4: Divide 40 by the result for 20

$40\div\frac{2}{3}=40\times\frac{3}{2}=60$

Answer:

1. 18
2. 60