Question

1. 1\frac{1}{2}\cdot2\frac{1}{2}\cdot3\frac{1}{2}=___

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$, $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$, $3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}$

Step2: Multiply the fractions

$\frac{3}{2}\times\frac{5}{2}\times\frac{7}{2}=\frac{3\times5\times7}{2\times2\times2}$

Step3: Calculate the numerator and denominator

$3\times5\times7 = 105$, $2\times2\times2=8$

Answer:

$\frac{105}{8}$