Pre-Algebra Examples

$\frac{1}{7} + \frac{5}{14} + \frac{3}{7}$

Step 1

Combine the numerators over the common denominator.

$\frac{1 + 3}{7} + \frac{5}{14}$

Step 2

Add $1$ and $3$ .

$\frac{4}{7} + \frac{5}{14}$

Step 3

To write $\frac{4}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4}{7} \cdot \frac{2}{2} + \frac{5}{14}$

Step 4

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{4}{7}$ by $\frac{2}{2}$ .

$\frac{4 \cdot 2}{7 \cdot 2} + \frac{5}{14}$

Step 4.2

Multiply $7$ by $2$ .

$\frac{4 \cdot 2}{14} + \frac{5}{14}$

Step 5

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 5}{14}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $4$ by $2$ .

$\frac{8 + 5}{14}$

Step 6.2

Add $8$ and $5$ .

$\frac{13}{14}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{14}$

Decimal Form:

$0.9\overline{285714}$