Solve 5/6(2/3-7/8)=

$$\frac { 5 } { 6 } ( \frac { 2 } { 3 } - \frac { 7 } { 8 } ) =$$

Evaluate

$$-\frac{25}{144}\approx -0.173611111$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{7}{8} to fractions with denominator 24.

$$\frac{5}{6}\left(\frac{16}{24}-\frac{21}{24}\right)$$

Since \frac{16}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{6}\times \frac{16-21}{24}$$

Subtract 21 from 16 to get -5.

$$\frac{5}{6}\left(-\frac{5}{24}\right)$$

Multiply \frac{5}{6} times -\frac{5}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(-5\right)}{6\times 24}$$

Do the multiplications in the fraction \frac{5\left(-5\right)}{6\times 24}.

$$\frac{-25}{144}$$

Fraction \frac{-25}{144} can be rewritten as -\frac{25}{144} by extracting the negative sign.

$$-\frac{25}{144}$$

Factor

$$-\frac{25}{144} = -0.1736111111111111$$