Solve -7/10/frac{-5{8}--1/3}

$$\frac{ - \frac{ 7 }{ 10 } }{ \frac{ -5 }{ 8 } -- \frac{ 1 }{ 3 } }$$

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$\frac{-\frac{7}{10}}{-\frac{5}{8}-\left(-\frac{1}{3}\right)}$$

The opposite of -\frac{1}{3} is \frac{1}{3}.

$$\frac{-\frac{7}{10}}{-\frac{5}{8}+\frac{1}{3}}$$

Least common multiple of 8 and 3 is 24. Convert -\frac{5}{8} and \frac{1}{3} to fractions with denominator 24.

$$\frac{-\frac{7}{10}}{-\frac{15}{24}+\frac{8}{24}}$$

Since -\frac{15}{24} and \frac{8}{24} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{7}{10}}{\frac{-15+8}{24}}$$

Add -15 and 8 to get -7.

$$\frac{-\frac{7}{10}}{-\frac{7}{24}}$$

Divide -\frac{7}{10} by -\frac{7}{24} by multiplying -\frac{7}{10} by the reciprocal of -\frac{7}{24}.

$$-\frac{7}{10}\left(-\frac{24}{7}\right)$$

Multiply -\frac{7}{10} times -\frac{24}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-24\right)}{10\times 7}$$

Do the multiplications in the fraction \frac{-7\left(-24\right)}{10\times 7}.

$$\frac{168}{70}$$

Reduce the fraction \frac{168}{70} to lowest terms by extracting and canceling out 14.

$$\frac{12}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$