Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{2}

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

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Step 1.1

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

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

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

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

2

$2$ and

1

$1$ .

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

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

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

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

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

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

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of

2

$2$ .

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Step 2.1.1

Factor

2

$2$ out of

16

$16$ .

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

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

Step 2.1.2

Cancel the common factor.

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

Step 2.1.3

Rewrite the expression.

$80 + 3 \cdot 8$

Step 2.2

Multiply

$3$ by

$8$ .

$80 + 24$

Step 3

Add

$80$ and

$24$ .

$104$