Solve 7(3ab+5/6ab+1/3ab):(25a)-1/2b

$$7 ( 3 a b + \frac { 5 } { 6 } a b + \frac { 1 } { 3 } a b ) : ( 25 a ) - \frac { 1 } { 2 } b$$

Evaluate

$$\frac{2b}{3}$$

Solution Steps

Combine 3ab and \frac{5}{6}ab to get \frac{23}{6}ab.

$$\frac{7\left(\frac{23}{6}ab+\frac{1}{3}ab\right)}{25a}-\frac{1}{2}b$$

Combine \frac{23}{6}ab and \frac{1}{3}ab to get \frac{25}{6}ab.

$$\frac{7\times \frac{25}{6}ab}{25a}-\frac{1}{2}b$$

Express 7\times \frac{25}{6} as a single fraction.

$$\frac{\frac{7\times 25}{6}ab}{25a}-\frac{1}{2}b$$

Multiply 7 and 25 to get 175.

$$\frac{\frac{175}{6}ab}{25a}-\frac{1}{2}b$$

Cancel out a in both numerator and denominator.

$$\frac{\frac{175}{6}b}{25}-\frac{1}{2}b$$

Divide \frac{175}{6}b by 25 to get \frac{7}{6}b.

$$\frac{7}{6}b-\frac{1}{2}b$$

Combine \frac{7}{6}b and -\frac{1}{2}b to get \frac{2}{3}b.

$$\frac{2}{3}b$$

Expand

$$\frac{2b}{3}$$

Solution Steps

Combine 3ab and \frac{5}{6}ab to get \frac{23}{6}ab.

$$\frac{7\left(\frac{23}{6}ab+\frac{1}{3}ab\right)}{25a}-\frac{1}{2}b$$

Combine \frac{23}{6}ab and \frac{1}{3}ab to get \frac{25}{6}ab.

$$\frac{7\times \frac{25}{6}ab}{25a}-\frac{1}{2}b$$

Express 7\times \frac{25}{6} as a single fraction.

$$\frac{\frac{7\times 25}{6}ab}{25a}-\frac{1}{2}b$$

Multiply 7 and 25 to get 175.

$$\frac{\frac{175}{6}ab}{25a}-\frac{1}{2}b$$

Cancel out a in both numerator and denominator.

$$\frac{\frac{175}{6}b}{25}-\frac{1}{2}b$$

Divide \frac{175}{6}b by 25 to get \frac{7}{6}b.

$$\frac{7}{6}b-\frac{1}{2}b$$

Combine \frac{7}{6}b and -\frac{1}{2}b to get \frac{2}{3}b.

$$\frac{2}{3}b$$