Basic Math Examples

$\frac{14}{5} + \frac{23}{6}$

Step 1

To write

$\frac{14}{5}$ as a fraction with a common denominator, multiply by

$\frac{6}{6}$ .

$\frac{14}{5} \cdot \frac{6}{6} + \frac{23}{6}$

Step 2

To write

$\frac{23}{6}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{14}{5} \cdot \frac{6}{6} + \frac{23}{6} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

$30$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{14}{5}$ by

$\frac{6}{6}$ .

$\frac{14 \cdot 6}{5 \cdot 6} + \frac{23}{6} \cdot \frac{5}{5}$

Step 3.2

Multiply

$5$ by

$6$ .

$\frac{14 \cdot 6}{30} + \frac{23}{6} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{23}{6}$ by

$\frac{5}{5}$ .

$\frac{14 \cdot 6}{30} + \frac{23 \cdot 5}{6 \cdot 5}$

Step 3.4

Multiply

$6$ by

$5$ .

$\frac{14 \cdot 6}{30} + \frac{23 \cdot 5}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{14 \cdot 6 + 23 \cdot 5}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$14$ by

$6$ .

$\frac{84 + 23 \cdot 5}{30}$

Step 5.2

Multiply

$23$ by

$5$ .

$\frac{84 + 115}{30}$

Step 5.3

Add

$84$ and

$115$ .

$\frac{199}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{199}{30}$

Decimal Form:

$6.6\overline{3}$

Mixed Number Form:

$6 \frac{19}{30}$