Solve 0.324-3/4-1/8=

$$0.324 - \frac { 3 } { 4 } - \frac { 1 } { 8 } =$$

Evaluate

$$-0.551$$

Solution Steps

Convert decimal number 0.324 to fraction \frac{324}{1000}. Reduce the fraction \frac{324}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{81}{250}-\frac{3}{4}-\frac{1}{8}$$

Least common multiple of 250 and 4 is 500. Convert \frac{81}{250} and \frac{3}{4} to fractions with denominator 500.

$$\frac{162}{500}-\frac{375}{500}-\frac{1}{8}$$

Since \frac{162}{500} and \frac{375}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{162-375}{500}-\frac{1}{8}$$

Subtract 375 from 162 to get -213.

$$-\frac{213}{500}-\frac{1}{8}$$

Least common multiple of 500 and 8 is 1000. Convert -\frac{213}{500} and \frac{1}{8} to fractions with denominator 1000.

$$-\frac{426}{1000}-\frac{125}{1000}$$

Since -\frac{426}{1000} and \frac{125}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-426-125}{1000}$$

Subtract 125 from -426 to get -551.

$$-\frac{551}{1000}$$

Factor

$$-0.551$$