Solve 3/4*2/5+3/2-4/5:frac{4}{7}=

$$\frac { 3 } { 4 } \times \frac { 2 } { 5 } + \frac { 3 } { 2 } - \frac { 4 } { 5 } : \frac { 4 } { 7 } =$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{4\times 5}+\frac{3}{2}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$\frac{6}{20}+\frac{3}{2}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}+\frac{3}{2}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Least common multiple of 10 and 2 is 10. Convert \frac{3}{10} and \frac{3}{2} to fractions with denominator 10.

$$\frac{3}{10}+\frac{15}{10}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Since \frac{3}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+15}{10}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Add 3 and 15 to get 18.

$$\frac{18}{10}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}-\frac{\frac{4}{5}}{\frac{4}{7}}$$

Divide \frac{4}{5} by \frac{4}{7} by multiplying \frac{4}{5} by the reciprocal of \frac{4}{7}.

$$\frac{9}{5}-\frac{4}{5}\times \frac{7}{4}$$

Multiply \frac{4}{5} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{5}-\frac{4\times 7}{5\times 4}$$

Cancel out 4 in both numerator and denominator.

$$\frac{9}{5}-\frac{7}{5}$$

Since \frac{9}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-7}{5}$$

Subtract 7 from 9 to get 2.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$