Evaluate (1 1/2)(0.31)

$(1 \frac{1}{2}) (0.31)$

Step 1

Convert $1 \frac{1}{2}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(1 + \frac{1}{2}) \cdot 0.31$

Add $1$ and $\frac{1}{2}$ .

Write $1$ as a fraction with a common denominator.

$(\frac{2}{2} + \frac{1}{2}) \cdot 0.31$

Combine the numerators over the common denominator.

$\frac{2 + 1}{2} \cdot 0.31$

Add $2$ and $1$ .

$\frac{3}{2} \cdot 0.31$

Step 2

Multiply $\frac{3}{2} \cdot 0.31$ .

Combine $\frac{3}{2}$ and $0.31$ .

$\frac{3 \cdot 0.31}{2}$

Multiply $3$ by $0.31$ .

$\frac{0.93}{2}$

Step 3

Divide $0.93$ by $2$ .

$0.465$