Solve (31/2-3/5:1/5)*4/5

$$( 3 \frac { 1 } { 2 } - \frac { 3 } { 5 } : \frac { 1 } { 5 } ) \cdot \frac { 4 } { 5 }$$

Evaluate

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

Solution Steps

Multiply 3 and 2 to get 6.

$$\left(\frac{6+1}{2}-\frac{\frac{3}{5}}{\frac{1}{5}}\right)\times \frac{4}{5}$$

Add 6 and 1 to get 7.

$$\left(\frac{7}{2}-\frac{\frac{3}{5}}{\frac{1}{5}}\right)\times \frac{4}{5}$$

Divide \frac{3}{5} by \frac{1}{5} by multiplying \frac{3}{5} by the reciprocal of \frac{1}{5}.

$$\left(\frac{7}{2}-\frac{3}{5}\times 5\right)\times \frac{4}{5}$$

Cancel out 5 and 5.

$$\left(\frac{7}{2}-3\right)\times \frac{4}{5}$$

Convert 3 to fraction \frac{6}{2}.

$$\left(\frac{7}{2}-\frac{6}{2}\right)\times \frac{4}{5}$$

Since \frac{7}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{2}\times \frac{4}{5}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{2}\times \frac{4}{5}$$

Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 5}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.

$$\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

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

Factor

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