Simplify 7/10m-1/3m+2m

$\frac{7}{10} m - \frac{1}{3} m + 2 m$

Simplify each term.

Combine $\frac{7}{10}$ and $m$ .

$\frac{7 m}{10} - \frac{1}{3} m + 2 m$

Combine $m$ and $\frac{1}{3}$ .

$\frac{7 m}{10} - \frac{m}{3} + 2 m$

Find the common denominator.

Multiply $\frac{7 m}{10}$ by $\frac{3}{3}$ .

$\frac{7 m}{10} \cdot \frac{3}{3} - \frac{m}{3} + 2 m$

Multiply $\frac{7 m}{10}$ by $\frac{3}{3}$ .

$\frac{7 m \cdot 3}{10 \cdot 3} - \frac{m}{3} + 2 m$

Multiply $\frac{m}{3}$ by $\frac{10}{10}$ .

$\frac{7 m \cdot 3}{10 \cdot 3} - (\frac{m}{3} \cdot \frac{10}{10}) + 2 m$

Multiply $\frac{m}{3}$ by $\frac{10}{10}$ .

$\frac{7 m \cdot 3}{10 \cdot 3} - \frac{m \cdot 10}{3 \cdot 10} + 2 m$

Write $2 m$ as a fraction with denominator $1$ .

$\frac{7 m \cdot 3}{10 \cdot 3} - \frac{m \cdot 10}{3 \cdot 10} + \frac{2 m}{1}$

Multiply $\frac{2 m}{1}$ by $\frac{30}{30}$ .

$\frac{7 m \cdot 3}{10 \cdot 3} - \frac{m \cdot 10}{3 \cdot 10} + \frac{2 m}{1} \cdot \frac{30}{30}$

Multiply $\frac{2 m}{1}$ by $\frac{30}{30}$ .

$\frac{7 m \cdot 3}{10 \cdot 3} - \frac{m \cdot 10}{3 \cdot 10} + \frac{2 m \cdot 30}{30}$

Reorder the factors of $10 \cdot 3$ .

$\frac{7 m \cdot 3}{3 \cdot 10} - \frac{m \cdot 10}{3 \cdot 10} + \frac{2 m \cdot 30}{30}$

Multiply $3$ by $10$ .

$\frac{7 m \cdot 3}{30} - \frac{m \cdot 10}{3 \cdot 10} + \frac{2 m \cdot 30}{30}$

Multiply $3$ by $10$ .

$\frac{7 m \cdot 3}{30} - \frac{m \cdot 10}{30} + \frac{2 m \cdot 30}{30}$

Combine the numerators over the common denominator.

$\frac{7 m \cdot 3 - m \cdot 10 + 2 m \cdot 30}{30}$

Simplify each term.

Multiply $3$ by $7$ .

$\frac{21 m - m \cdot 10 + 2 m \cdot 30}{30}$

Multiply $10$ by $- 1$ .

$\frac{21 m - 10 m + 2 m \cdot 30}{30}$

Multiply $30$ by $2$ .

$\frac{21 m - 10 m + 60 m}{30}$

Simplify by adding terms.

Subtract $10 m$ from $21 m$ .

$\frac{11 m + 60 m}{30}$

Add $11 m$ and $60 m$ .

$\frac{71 m}{30}$