Solve -36/60*(-5/18)-(-21/56)*(-1/3)=

$$- \frac { 36 } { 60 } \cdot ( - \frac { 5 } { 18 } ) - ( - \frac { 21 } { 56 } ) * ( - \frac { 1 } { 3 } ) =$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Reduce the fraction \frac{36}{60} to lowest terms by extracting and canceling out 12.

$$-\frac{3}{5}\left(-\frac{5}{18}\right)-\left(-\frac{21}{56}\right)\left(-\frac{1}{3}\right)$$

Multiply -\frac{3}{5} times -\frac{5}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-5\right)}{5\times 18}-\left(-\frac{21}{56}\right)\left(-\frac{1}{3}\right)$$

Do the multiplications in the fraction \frac{-3\left(-5\right)}{5\times 18}.

$$\frac{15}{90}-\left(-\frac{21}{56}\right)\left(-\frac{1}{3}\right)$$

Reduce the fraction \frac{15}{90} to lowest terms by extracting and canceling out 15.

$$\frac{1}{6}-\left(-\frac{21}{56}\right)\left(-\frac{1}{3}\right)$$

Reduce the fraction \frac{21}{56} to lowest terms by extracting and canceling out 7.

$$\frac{1}{6}-\left(-\frac{3}{8}\left(-\frac{1}{3}\right)\right)$$

Multiply -\frac{3}{8} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}-\frac{-3\left(-1\right)}{8\times 3}$$

Do the multiplications in the fraction \frac{-3\left(-1\right)}{8\times 3}.

$$\frac{1}{6}-\frac{3}{24}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{6}-\frac{1}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{1}{8} to fractions with denominator 24.

$$\frac{4}{24}-\frac{3}{24}$$

Since \frac{4}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{24}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$