Question

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

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$, $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$, $3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}$
So the expression becomes $\frac{7}{2}\times\frac{5}{2}\times\frac{3}{2}$.

Step2: Multiply the numerators and denominators

$\frac{7\times5\times3}{2\times2\times2}=\frac{105}{8}$.

Step3: Convert the improper fraction to a mixed - number

$105\div8 = 13$ with a remainder of $1$. So $\frac{105}{8}=13\frac{1}{8}$.

Answer:

$13\frac{1}{8}$