Solve 2/3*4/5-7/10=

$$\frac { 2 } { 3 } \cdot \frac { 4 } { 5 } - \frac { 7 } { 10 } =$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Multiply \frac{2}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{3\times 5}-\frac{7}{10}$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 5}.

$$\frac{8}{15}-\frac{7}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{7}{10} to fractions with denominator 30.

$$\frac{16}{30}-\frac{21}{30}$$

Since \frac{16}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-21}{30}$$

Subtract 21 from 16 to get -5.

$$\frac{-5}{30}$$

Reduce the fraction \frac{-5}{30} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{6}$$

Factor

$$-\frac{1}{6} = -0.16666666666666666$$