Basic Math Examples

- \frac{11}{16} + \frac{1}{2}

$- \frac{11}{16} + \frac{1}{2}$

Step 1

To write

\frac{1}{2}

$\frac{1}{2}$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

- \frac{11}{16} + \frac{1}{2} \cdot \frac{8}{8}

$- \frac{11}{16} + \frac{1}{2} \cdot \frac{8}{8}$

Step 2

Write each expression with a common denominator of

16

$16$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{8}{8}

$\frac{8}{8}$ .

- \frac{11}{16} + \frac{8}{2 \cdot 8}

$- \frac{11}{16} + \frac{8}{2 \cdot 8}$

Step 2.2

Multiply

2

$2$ by

8

$8$ .

- \frac{11}{16} + \frac{8}{16}

$- \frac{11}{16} + \frac{8}{16}$

- \frac{11}{16} + \frac{8}{16}

$- \frac{11}{16} + \frac{8}{16}$

Step 3

Combine the numerators over the common denominator.

\frac{- 11 + 8}{16}

$\frac{- 11 + 8}{16}$

Step 4

Add

- 11

$- 11$ and

8

$8$ .

\frac{- 3}{16}

$\frac{- 3}{16}$

Step 5

Move the negative in front of the fraction.

- \frac{3}{16}

$- \frac{3}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{3}{16}

$- \frac{3}{16}$

Decimal Form:

- 0.1875

$- 0.1875$