Basic Math Examples

$\frac{2}{3} + \frac{- 1}{16}$

Step 1

Move the negative in front of the fraction.

$\frac{2}{3} - \frac{1}{16}$

Step 2

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{16}{16}$ .

$\frac{2}{3} \cdot \frac{16}{16} - \frac{1}{16}$

Step 3

To write $- \frac{1}{16}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{2}{3} \cdot \frac{16}{16} - \frac{1}{16} \cdot \frac{3}{3}$

Step 4

Write each expression with a common denominator of $48$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{2}{3}$ by $\frac{16}{16}$ .

$\frac{2 \cdot 16}{3 \cdot 16} - \frac{1}{16} \cdot \frac{3}{3}$

Step 4.2

Multiply $3$ by $16$ .

$\frac{2 \cdot 16}{48} - \frac{1}{16} \cdot \frac{3}{3}$

Step 4.3

Multiply $\frac{1}{16}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 16}{48} - \frac{3}{16 \cdot 3}$

Step 4.4

Multiply $16$ by $3$ .

$\frac{2 \cdot 16}{48} - \frac{3}{48}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 \cdot 16 - 3}{48}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $2$ by $16$ .

$\frac{32 - 3}{48}$

Step 6.2

Subtract $3$ from $32$ .

$\frac{29}{48}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{48}$

Decimal Form:

$0.6041\overline{6}$