Solve 3/5(50/9)+1/2(-2/3)

$$\frac{ 3 }{ 5 } ( \frac{ 50 }{ 9 } )+ \frac{ 1 }{ 2 } (- \frac{ 2 }{ 3 } )$$

Evaluate

$$3$$

Solution Steps

Multiply \frac{3}{5} times \frac{50}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 50}{5\times 9}+\frac{1}{2}\left(-\frac{2}{3}\right)$$

Do the multiplications in the fraction \frac{3\times 50}{5\times 9}.

$$\frac{150}{45}+\frac{1}{2}\left(-\frac{2}{3}\right)$$

Reduce the fraction \frac{150}{45} to lowest terms by extracting and canceling out 15.

$$\frac{10}{3}+\frac{1}{2}\left(-\frac{2}{3}\right)$$

Multiply \frac{1}{2} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10}{3}+\frac{1\left(-2\right)}{2\times 3}$$

Do the multiplications in the fraction \frac{1\left(-2\right)}{2\times 3}.

$$\frac{10}{3}+\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}-\frac{1}{3}$$

Since \frac{10}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{3}$$

Subtract 1 from 10 to get 9.

$$\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$