Solve 0,75u-3/8(2u-8/7)+5/7u

$$0,75 u - \frac { 3 } { 8 } ( 2 u - \frac { 8 } { 7 } ) + \frac { 5 } { 7 } u$$

Evaluate

$$\frac{5u+3}{7}$$

Solution Steps

Use the distributive property to multiply -\frac{3}{8} by 2u-\frac{8}{7}.

$$0,75u-\frac{3}{8}\times 2u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Express -\frac{3}{8}\times 2 as a single fraction.

$$0,75u+\frac{-3\times 2}{8}u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Multiply -3 and 2 to get -6.

$$0,75u+\frac{-6}{8}u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Reduce the fraction \frac{-6}{8} to lowest terms by extracting and canceling out 2.

$$0,75u-\frac{3}{4}u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Multiply -\frac{3}{8} times -\frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$0,75u-\frac{3}{4}u+\frac{-3\left(-8\right)}{8\times 7}+\frac{5}{7}u$$

Do the multiplications in the fraction \frac{-3\left(-8\right)}{8\times 7}.

$$0,75u-\frac{3}{4}u+\frac{24}{56}+\frac{5}{7}u$$

Reduce the fraction \frac{24}{56} to lowest terms by extracting and canceling out 8.

$$0,75u-\frac{3}{4}u+\frac{3}{7}+\frac{5}{7}u$$

Combine 0,75u and -\frac{3}{4}u to get 0.

$$\frac{3}{7}+\frac{5}{7}u$$

Expand

$$\frac{5u+3}{7}$$

Solution Steps

Use the distributive property to multiply -\frac{3}{8} by 2u-\frac{8}{7}.

$$0,75u-\frac{3}{8}\times 2u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Express -\frac{3}{8}\times 2 as a single fraction.

$$0,75u+\frac{-3\times 2}{8}u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Multiply -3 and 2 to get -6.

$$0,75u+\frac{-6}{8}u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Reduce the fraction \frac{-6}{8} to lowest terms by extracting and canceling out 2.

$$0,75u-\frac{3}{4}u-\frac{3}{8}\left(-\frac{8}{7}\right)+\frac{5}{7}u$$

Multiply -\frac{3}{8} times -\frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$0,75u-\frac{3}{4}u+\frac{-3\left(-8\right)}{8\times 7}+\frac{5}{7}u$$

Do the multiplications in the fraction \frac{-3\left(-8\right)}{8\times 7}.

$$0,75u-\frac{3}{4}u+\frac{24}{56}+\frac{5}{7}u$$

Reduce the fraction \frac{24}{56} to lowest terms by extracting and canceling out 8.

$$0,75u-\frac{3}{4}u+\frac{3}{7}+\frac{5}{7}u$$

Combine 0,75u and -\frac{3}{4}u to get 0.

$$\frac{3}{7}+\frac{5}{7}u$$