Solve 1/3(3y-2,7)

$$\frac { 1 } { 3 } ( 3 y - 2,7 )$$

Evaluate

$$y-0,9$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by 3y-2,7.

$$\frac{1}{3}\times 3y+\frac{1}{3}\left(-2,7\right)$$

Cancel out 3 and 3.

$$y+\frac{1}{3}\left(-2,7\right)$$

Convert decimal number -2,7 to fraction -\frac{27}{10}.

$$y+\frac{1}{3}\left(-\frac{27}{10}\right)$$

Multiply \frac{1}{3} times -\frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$y+\frac{1\left(-27\right)}{3\times 10}$$

Do the multiplications in the fraction \frac{1\left(-27\right)}{3\times 10}.

$$y+\frac{-27}{30}$$

Reduce the fraction \frac{-27}{30} to lowest terms by extracting and canceling out 3.

$$y-\frac{9}{10}$$

Expand

$$y-0,9$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by 3y-2,7.

$$\frac{1}{3}\times 3y+\frac{1}{3}\left(-2,7\right)$$

Cancel out 3 and 3.

$$y+\frac{1}{3}\left(-2,7\right)$$

Convert decimal number -2,7 to fraction -\frac{27}{10}.

$$y+\frac{1}{3}\left(-\frac{27}{10}\right)$$

Multiply \frac{1}{3} times -\frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$y+\frac{1\left(-27\right)}{3\times 10}$$

Do the multiplications in the fraction \frac{1\left(-27\right)}{3\times 10}.

$$y+\frac{-27}{30}$$

Reduce the fraction \frac{-27}{30} to lowest terms by extracting and canceling out 3.

$$y-\frac{9}{10}$$