Solve 3(m+1/3)+1/5(10m-15)

$$3 ( m + \frac { 1 } { 3 } ) + \frac { 1 } { 5 } ( 10 m - 15 )$$

Evaluate

$$5m-2$$

Solution Steps

Use the distributive property to multiply 3 by m+\frac{1}{3}.

$$3m+3\times \frac{1}{3}+\frac{1}{5}\left(10m-15\right)$$

Cancel out 3 and 3.

$$3m+1+\frac{1}{5}\left(10m-15\right)$$

Use the distributive property to multiply \frac{1}{5} by 10m-15.

$$3m+1+\frac{1}{5}\times 10m+\frac{1}{5}\left(-15\right)$$

Multiply \frac{1}{5} and 10 to get \frac{10}{5}.

$$3m+1+\frac{10}{5}m+\frac{1}{5}\left(-15\right)$$

Divide 10 by 5 to get 2.

$$3m+1+2m+\frac{1}{5}\left(-15\right)$$

Multiply \frac{1}{5} and -15 to get \frac{-15}{5}.

$$3m+1+2m+\frac{-15}{5}$$

Divide -15 by 5 to get -3.

$$3m+1+2m-3$$

Combine 3m and 2m to get 5m.

$$5m+1-3$$

Subtract 3 from 1 to get -2.

$$5m-2$$

Expand

$$5m-2$$

Solution Steps

Use the distributive property to multiply 3 by m+\frac{1}{3}.

$$3m+3\times \frac{1}{3}+\frac{1}{5}\left(10m-15\right)$$

Cancel out 3 and 3.

$$3m+1+\frac{1}{5}\left(10m-15\right)$$

Use the distributive property to multiply \frac{1}{5} by 10m-15.

$$3m+1+\frac{1}{5}\times 10m+\frac{1}{5}\left(-15\right)$$

Multiply \frac{1}{5} and 10 to get \frac{10}{5}.

$$3m+1+\frac{10}{5}m+\frac{1}{5}\left(-15\right)$$

Divide 10 by 5 to get 2.

$$3m+1+2m+\frac{1}{5}\left(-15\right)$$

Multiply \frac{1}{5} and -15 to get \frac{-15}{5}.

$$3m+1+2m+\frac{-15}{5}$$

Divide -15 by 5 to get -3.

$$3m+1+2m-3$$

Combine 3m and 2m to get 5m.

$$5m+1-3$$

Subtract 3 from 1 to get -2.

$$5m-2$$