Basic Math Examples

$\frac{1}{16} + \frac{5}{32} + \frac{3}{8}$

Step 1

Find the common denominator.

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Step 1.1

Multiply

$\frac{1}{16}$ by

$\frac{2}{2}$ .

$\frac{1}{16} \cdot \frac{2}{2} + \frac{5}{32} + \frac{3}{8}$

Step 1.2

Multiply

$\frac{1}{16}$ by

$\frac{2}{2}$ .

$\frac{2}{16 \cdot 2} + \frac{5}{32} + \frac{3}{8}$

Step 1.3

Multiply

$\frac{3}{8}$ by

$\frac{4}{4}$ .

$\frac{2}{16 \cdot 2} + \frac{5}{32} + \frac{3}{8} \cdot \frac{4}{4}$

Step 1.4

Multiply

$\frac{3}{8}$ by

$\frac{4}{4}$ .

$\frac{2}{16 \cdot 2} + \frac{5}{32} + \frac{3 \cdot 4}{8 \cdot 4}$

Step 1.5

Reorder the factors of

$16 \cdot 2$ .

$\frac{2}{2 \cdot 16} + \frac{5}{32} + \frac{3 \cdot 4}{8 \cdot 4}$

Step 1.6

Multiply

$2$ by

$16$ .

$\frac{2}{32} + \frac{5}{32} + \frac{3 \cdot 4}{8 \cdot 4}$

Step 1.7

Reorder the factors of

$8 \cdot 4$ .

$\frac{2}{32} + \frac{5}{32} + \frac{3 \cdot 4}{4 \cdot 8}$

Step 1.8

Multiply

$4$ by

$8$ .

$\frac{2}{32} + \frac{5}{32} + \frac{3 \cdot 4}{32}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 + 5 + 3 \cdot 4}{32}$

Step 3

Simplify the expression.

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Step 3.1

Multiply

$3$ by

$4$ .

$\frac{2 + 5 + 12}{32}$

Step 3.2

Add

$2$ and

$5$ .

$\frac{7 + 12}{32}$

Step 3.3

Add

$7$ and

$12$ .

$\frac{19}{32}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{32}$

Decimal Form:

$0.59375$