Basic Math Examples

$\frac{5}{7} + \frac{1}{2}$

Step 1

To write

$\frac{5}{7}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{5}{7} \cdot \frac{2}{2} + \frac{1}{2}$

Step 2

To write

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

$\frac{7}{7}$ .

$\frac{5}{7} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of

$14$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{5}{7}$ by

$\frac{2}{2}$ .

$\frac{5 \cdot 2}{7 \cdot 2} + \frac{1}{2} \cdot \frac{7}{7}$

Step 3.2

Multiply

$7$ by

$2$ .

$\frac{5 \cdot 2}{14} + \frac{1}{2} \cdot \frac{7}{7}$

Step 3.3

Multiply

$\frac{1}{2}$ by

$\frac{7}{7}$ .

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

Step 3.4

Multiply

$2$ by

$7$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$2$ .

$\frac{10 + 7}{14}$

Step 5.2

Add

$10$ and

$7$ .

$\frac{17}{14}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{14}$

Decimal Form:

$1.21428571 \dots$

Mixed Number Form:

$1 \frac{3}{14}$