Question

1. $3\frac{1}{2}cdot2\frac{1}{2}cdot1\frac{1}{2}=$

Explanation:

Step1: Convert mixed - numbers to improper fractions

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

Step2: Multiply the improper fractions

$\frac{7}{2}\times\frac{5}{2}\times\frac{3}{2}=\frac{7\times5\times3}{2\times2\times2}$

Step3: Calculate the numerator and denominator

$7\times5\times3 = 105$, $2\times2\times2=8$

Answer:

$\frac{105}{8}$