Basic Math Examples

$\frac{2}{3} \cdot (\frac{4 m - 5}{3}) + 15 m$

Step 1

Multiply $\frac{2}{3}$ by $\frac{4 m - 5}{3}$ .

$\frac{2}{3} (\frac{4 m - 5}{3}) + 15 m$

Step 2

Multiply $\frac{2}{3} (\frac{4 m - 5}{3})$ .

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Step 2.1

Multiply $\frac{2}{3}$ by $\frac{4 m - 5}{3}$ .

$\frac{2 (4 m - 5)}{3 \cdot 3} + 15 m$

Step 2.2

Multiply $3$ by $3$ .

$\frac{2 (4 m - 5)}{9} + 15 m$

Step 3

To write $15 m$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{2 (4 m - 5)}{9} + 15 m \cdot \frac{9}{9}$

Step 4

Combine $15 m$ and $\frac{9}{9}$ .

$\frac{2 (4 m - 5)}{9} + \frac{15 m \cdot 9}{9}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 (4 m - 5) + 15 m \cdot 9}{9}$

Step 6

Rewrite $\frac{2 (4 m - 5) + 15 m \cdot 9}{9}$ in a factored form.

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Step 6.1

Apply the distributive property.

$\frac{2 (4 m) + 2 \cdot - 5 + 15 m \cdot 9}{9}$

Step 6.2

Multiply $4$ by $2$ .

$\frac{8 m + 2 \cdot - 5 + 15 m \cdot 9}{9}$

Step 6.3

Multiply $2$ by $- 5$ .

$\frac{8 m - 10 + 15 m \cdot 9}{9}$

Step 6.4

Multiply $9$ by $15$ .

$\frac{8 m - 10 + 135 m}{9}$

Step 6.5

Add $8 m$ and $135 m$ .

$\frac{143 m - 10}{9}$