Solve (-125)*3/2+25*5/8-25div8

$$( - 125 ) \times \frac { 3 } { 2 } + 25 \times \frac { 5 } { 8 } - 25 \div 8$$

Evaluate

$$-175$$

Solution Steps

Express -125\times \frac{3}{2} as a single fraction.

$$\frac{-125\times 3}{2}+25\times \frac{5}{8}-\frac{25}{8}$$

Multiply -125 and 3 to get -375.

$$\frac{-375}{2}+25\times \frac{5}{8}-\frac{25}{8}$$

Fraction \frac{-375}{2} can be rewritten as -\frac{375}{2} by extracting the negative sign.

$$-\frac{375}{2}+25\times \frac{5}{8}-\frac{25}{8}$$

Express 25\times \frac{5}{8} as a single fraction.

$$-\frac{375}{2}+\frac{25\times 5}{8}-\frac{25}{8}$$

Multiply 25 and 5 to get 125.

$$-\frac{375}{2}+\frac{125}{8}-\frac{25}{8}$$

Least common multiple of 2 and 8 is 8. Convert -\frac{375}{2} and \frac{125}{8} to fractions with denominator 8.

$$-\frac{1500}{8}+\frac{125}{8}-\frac{25}{8}$$

Since -\frac{1500}{8} and \frac{125}{8} have the same denominator, add them by adding their numerators.

$$\frac{-1500+125}{8}-\frac{25}{8}$$

Add -1500 and 125 to get -1375.

$$-\frac{1375}{8}-\frac{25}{8}$$

Since -\frac{1375}{8} and \frac{25}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1375-25}{8}$$

Subtract 25 from -1375 to get -1400.

$$\frac{-1400}{8}$$

Divide -1400 by 8 to get -175.

$$-175$$

Factor

$$-175$$