Basic Math Examples

$\frac{12}{7} + \frac{4}{5} - \frac{2}{3}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{12}{7}$ by $\frac{15}{15}$ .

$\frac{12}{7} \cdot \frac{15}{15} + \frac{4}{5} - \frac{2}{3}$

Step 1.2

Multiply $\frac{12}{7}$ by $\frac{15}{15}$ .

$\frac{12 \cdot 15}{7 \cdot 15} + \frac{4}{5} - \frac{2}{3}$

Step 1.3

Multiply $\frac{4}{5}$ by $\frac{21}{21}$ .

$\frac{12 \cdot 15}{7 \cdot 15} + \frac{4}{5} \cdot \frac{21}{21} - \frac{2}{3}$

Step 1.4

Multiply $\frac{4}{5}$ by $\frac{21}{21}$ .

$\frac{12 \cdot 15}{7 \cdot 15} + \frac{4 \cdot 21}{5 \cdot 21} - \frac{2}{3}$

Step 1.5

Multiply $\frac{2}{3}$ by $\frac{35}{35}$ .

$\frac{12 \cdot 15}{7 \cdot 15} + \frac{4 \cdot 21}{5 \cdot 21} - (\frac{2}{3} \cdot \frac{35}{35})$

Step 1.6

Multiply $\frac{2}{3}$ by $\frac{35}{35}$ .

$\frac{12 \cdot 15}{7 \cdot 15} + \frac{4 \cdot 21}{5 \cdot 21} - \frac{2 \cdot 35}{3 \cdot 35}$

Step 1.7

Multiply $7$ by $15$ .

$\frac{12 \cdot 15}{105} + \frac{4 \cdot 21}{5 \cdot 21} - \frac{2 \cdot 35}{3 \cdot 35}$

Step 1.8

Multiply $5$ by $21$ .

$\frac{12 \cdot 15}{105} + \frac{4 \cdot 21}{105} - \frac{2 \cdot 35}{3 \cdot 35}$

Step 1.9

Multiply $3$ by $35$ .

$\frac{12 \cdot 15}{105} + \frac{4 \cdot 21}{105} - \frac{2 \cdot 35}{105}$

Step 2

Combine the numerators over the common denominator.

$\frac{12 \cdot 15 + 4 \cdot 21 - 2 \cdot 35}{105}$

Step 3

Simplify each term.

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Step 3.1

Multiply $12$ by $15$ .

$\frac{180 + 4 \cdot 21 - 2 \cdot 35}{105}$

Step 3.2

Multiply $4$ by $21$ .

$\frac{180 + 84 - 2 \cdot 35}{105}$

Step 3.3

Multiply $- 2$ by $35$ .

$\frac{180 + 84 - 70}{105}$

Step 4

Simplify by adding and subtracting.

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Step 4.1

Add $180$ and $84$ .

$\frac{264 - 70}{105}$

Step 4.2

Subtract $70$ from $264$ .

$\frac{194}{105}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{194}{105}$

Decimal Form:

$1.84761904 \dots$

Mixed Number Form:

$1 \frac{89}{105}$