Solve 5/8-1.5+3/2/-frac{1{8}}

$$\frac{ \frac{ 5 }{ 8 } -1.5+ \frac{ 3 }{ 2 } }{ - \frac{ 1 }{ 8 } }$$

Evaluate

$$-5$$

Solution Steps

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{5}{8}-\frac{3}{2}+\frac{3}{2}}{-\frac{1}{8}}$$

Least common multiple of 8 and 2 is 8. Convert \frac{5}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{\frac{5}{8}-\frac{12}{8}+\frac{3}{2}}{-\frac{1}{8}}$$

Since \frac{5}{8} and \frac{12}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-12}{8}+\frac{3}{2}}{-\frac{1}{8}}$$

Subtract 12 from 5 to get -7.

$$\frac{-\frac{7}{8}+\frac{3}{2}}{-\frac{1}{8}}$$

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

$$\frac{-\frac{7}{8}+\frac{12}{8}}{-\frac{1}{8}}$$

Since -\frac{7}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-7+12}{8}}{-\frac{1}{8}}$$

Add -7 and 12 to get 5.

$$\frac{\frac{5}{8}}{-\frac{1}{8}}$$

Divide \frac{5}{8} by -\frac{1}{8} by multiplying \frac{5}{8} by the reciprocal of -\frac{1}{8}.

$$\frac{5}{8}\left(-8\right)$$

Express \frac{5}{8}\left(-8\right) as a single fraction.

$$\frac{5\left(-8\right)}{8}$$

Multiply 5 and -8 to get -40.

$$\frac{-40}{8}$$

Divide -40 by 8 to get -5.

$$-5$$

Factor

$$-5$$