Solve 9/20*2/3-1/5

$$\frac { 9 } { 20 } \times \frac { 2 } { 3 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Multiply \frac{9}{20} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{20\times 3}-\frac{1}{5}$$

Do the multiplications in the fraction \frac{9\times 2}{20\times 3}.

$$\frac{18}{60}-\frac{1}{5}$$

Reduce the fraction \frac{18}{60} to lowest terms by extracting and canceling out 6.

$$\frac{3}{10}-\frac{1}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{1}{5} to fractions with denominator 10.

$$\frac{3}{10}-\frac{2}{10}$$

Since \frac{3}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{10}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$