Simplify 3/4+7/8+1/16

$\frac{3}{4} + \frac{7}{8} + \frac{1}{16}$

Find the common denominator.

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Multiply $\frac{3}{4}$ by $\frac{4}{4}$ .

$\frac{3}{4} \cdot \frac{4}{4} + \frac{7}{8} + \frac{1}{16}$

Combine.

$\frac{3 \cdot 4}{4 \cdot 4} + \frac{7}{8} + \frac{1}{16}$

Multiply $\frac{7}{8}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 4}{4 \cdot 4} + \frac{7}{8} \cdot \frac{2}{2} + \frac{1}{16}$

Combine.

$\frac{3 \cdot 4}{4 \cdot 4} + \frac{7 \cdot 2}{8 \cdot 2} + \frac{1}{16}$

Multiply $4$ by $4$ .

$\frac{3 \cdot 4}{16} + \frac{7 \cdot 2}{8 \cdot 2} + \frac{1}{16}$

Reorder the factors of $8 \cdot 2$ .

$\frac{3 \cdot 4}{16} + \frac{7 \cdot 2}{2 \cdot 8} + \frac{1}{16}$

Multiply $2$ by $8$ .

$\frac{3 \cdot 4}{16} + \frac{7 \cdot 2}{16} + \frac{1}{16}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{3 \cdot 4 + 7 \cdot 2 + 1}{16}$

Multiply.

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Multiply $3$ by $4$ .

$\frac{12 + 7 \cdot 2 + 1}{16}$

Multiply $7$ by $2$ .

$\frac{12 + 14 + 1}{16}$

Simplify the numerator.

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Add $12$ and $14$ .

$\frac{26 + 1}{16}$

Add $26$ and $1$ .

$\frac{27}{16}$

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{16}$

Decimal Form:

$1.6875$

Mixed Number Form:

$1 \frac{11}{16}$

Simplify 3/4+7/8+1/16

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