Pre-Algebra Examples

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

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{4}$ by $\frac{4}{4}$ .

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

Step 1.2

Multiply $\frac{1}{4}$ by $\frac{4}{4}$ .

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

Step 1.3

Multiply $\frac{3}{8}$ by $\frac{2}{2}$ .

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

Step 1.4

Multiply $\frac{3}{8}$ by $\frac{2}{2}$ .

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

Step 1.5

Multiply $4$ by $4$ .

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

Step 1.6

Reorder the factors of $8 \cdot 2$ .

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

Step 1.7

Multiply $2$ by $8$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify the expression.

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Step 3.1

Multiply $3$ by $2$ .

$\frac{4 + 6 + 1}{16}$

Step 3.2

Add $4$ and $6$ .

$\frac{10 + 1}{16}$

Step 3.3

Add $10$ and $1$ .

$\frac{11}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{16}$

Decimal Form:

$0.6875$