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Simplify 80+(1 1/2)(16)

$80 + (1 \frac{1}{2}) (16)$

Step 1

Convert

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

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

$80 + (1 + \frac{1}{2}) \cdot 16$

Add

$1$ and

$\frac{1}{2}$ .

Write

$1$ as a fraction with a common denominator.

$80 + (\frac{2}{2} + \frac{1}{2}) \cdot 16$

Combine the numerators over the common denominator.

$80 + \frac{2 + 1}{2} \cdot 16$

Add

$2$ and

$1$ .

$80 + \frac{3}{2} \cdot 16$

$80 + \frac{3}{2} \cdot 16$

$80 + \frac{3}{2} \cdot 16$

Step 2

Simplify each term.

Cancel the common factor of

$2$ .

Factor

$2$ out of

$16$ .

$80 + \frac{3}{2} \cdot (2 (8))$

Cancel the common factor.

$80 + \frac{3}{2} \cdot (2 \cdot 8)$

Rewrite the expression.

$80 + 3 \cdot 8$

$80 + 3 \cdot 8$

Multiply

$3$ by

$8$ .

$80 + 24$

$80 + 24$

Step 3

Add

$80$ and

$24$ .

$104$

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