Solve (6/5x_{3}-1)*2/3

$$( \frac { 6 } { 5 } x _ { 3 } - 1 ) * \frac { 2 } { 3 }$$

Evaluate

$$\frac{4x_{3}}{5}-\frac{2}{3}$$

Solution Steps

Use the distributive property to multiply \frac{6}{5}x_{3}-1 by \frac{2}{3}.

$$\frac{6}{5}x_{3}\times \frac{2}{3}-\frac{2}{3}$$

Multiply \frac{6}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 2}{5\times 3}x_{3}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{6\times 2}{5\times 3}.

$$\frac{12}{15}x_{3}-\frac{2}{3}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}x_{3}-\frac{2}{3}$$

Expand

$$\frac{4x_{3}}{5}-\frac{2}{3}$$

Solution Steps

Use the distributive property to multiply \frac{6}{5}x_{3}-1 by \frac{2}{3}.

$$\frac{6}{5}x_{3}\times \frac{2}{3}-\frac{2}{3}$$

Multiply \frac{6}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 2}{5\times 3}x_{3}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{6\times 2}{5\times 3}.

$$\frac{12}{15}x_{3}-\frac{2}{3}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}x_{3}-\frac{2}{3}$$