Solve (14/5*0.75-3/4)div9/10

$$( 1 \frac { 4 } { 5 } \times 0.75 - \frac { 3 } { 4 } ) \div \frac { 9 } { 10 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{\frac{5+4}{5}\times 0.75-\frac{3}{4}}{\frac{9}{10}}$$

Add 5 and 4 to get 9.

$$\frac{\frac{9}{5}\times 0.75-\frac{3}{4}}{\frac{9}{10}}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{9}{5}\times \frac{3}{4}-\frac{3}{4}}{\frac{9}{10}}$$

Multiply \frac{9}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 3}{5\times 4}-\frac{3}{4}}{\frac{9}{10}}$$

Do the multiplications in the fraction \frac{9\times 3}{5\times 4}.

$$\frac{\frac{27}{20}-\frac{3}{4}}{\frac{9}{10}}$$

Least common multiple of 20 and 4 is 20. Convert \frac{27}{20} and \frac{3}{4} to fractions with denominator 20.

$$\frac{\frac{27}{20}-\frac{15}{20}}{\frac{9}{10}}$$

Since \frac{27}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{27-15}{20}}{\frac{9}{10}}$$

Subtract 15 from 27 to get 12.

$$\frac{\frac{12}{20}}{\frac{9}{10}}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{3}{5}}{\frac{9}{10}}$$

Divide \frac{3}{5} by \frac{9}{10} by multiplying \frac{3}{5} by the reciprocal of \frac{9}{10}.

$$\frac{3}{5}\times \frac{10}{9}$$

Multiply \frac{3}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{5\times 9}$$

Do the multiplications in the fraction \frac{3\times 10}{5\times 9}.

$$\frac{30}{45}$$

Reduce the fraction \frac{30}{45} to lowest terms by extracting and canceling out 15.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$