Solve 9/10-2/5*3/8

$$\frac{ 9 }{ 10 } - \frac{ 2 }{ 5 } \times \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{10}-\frac{2\times 3}{5\times 8}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 8}.

$$\frac{9}{10}-\frac{6}{40}$$

Reduce the fraction \frac{6}{40} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 10 and 20 is 20. Convert \frac{9}{10} and \frac{3}{20} to fractions with denominator 20.

$$\frac{18}{20}-\frac{3}{20}$$

Since \frac{18}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-3}{20}$$

Subtract 3 from 18 to get 15.

$$\frac{15}{20}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$