Solve 4/15-2/3*9/10

$$\frac { 4 } { 15 } - \frac { 2 } { 3 } \cdot \frac { 9 } { 10 }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Multiply \frac{2}{3} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{15}-\frac{2\times 9}{3\times 10}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 10}.

$$\frac{4}{15}-\frac{18}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{4}{15}-\frac{3}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{4}{15} and \frac{3}{5} to fractions with denominator 15.

$$\frac{4}{15}-\frac{9}{15}$$

Since \frac{4}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-9}{15}$$

Subtract 9 from 4 to get -5.

$$\frac{-5}{15}$$

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

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$