Solve (4-3/4*6/5):5/2=

$$( 4 - \frac { 3 } { 4 } \cdot \frac { 6 } { 5 } ) : \frac { 5 } { 2 } =$$

Evaluate

$$\frac{31}{25}=1.24$$

Solution Steps

Multiply \frac{3}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4-\frac{3\times 6}{4\times 5}}{\frac{5}{2}}$$

Do the multiplications in the fraction \frac{3\times 6}{4\times 5}.

$$\frac{4-\frac{18}{20}}{\frac{5}{2}}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{4-\frac{9}{10}}{\frac{5}{2}}$$

Convert 4 to fraction \frac{40}{10}.

$$\frac{\frac{40}{10}-\frac{9}{10}}{\frac{5}{2}}$$

Since \frac{40}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{40-9}{10}}{\frac{5}{2}}$$

Subtract 9 from 40 to get 31.

$$\frac{\frac{31}{10}}{\frac{5}{2}}$$

Divide \frac{31}{10} by \frac{5}{2} by multiplying \frac{31}{10} by the reciprocal of \frac{5}{2}.

$$\frac{31}{10}\times \frac{2}{5}$$

Multiply \frac{31}{10} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 2}{10\times 5}$$

Do the multiplications in the fraction \frac{31\times 2}{10\times 5}.

$$\frac{62}{50}$$

Reduce the fraction \frac{62}{50} to lowest terms by extracting and canceling out 2.

$$\frac{31}{25}$$

Factor

$$\frac{31}{5 ^ {2}} = 1\frac{6}{25} = 1.24$$