Solve 4/15quad-20/24+(+0/15)=

$$\frac { 4 } { 15 } \quad - \frac { 20 } { 24 } + ( + \frac { 0 } { 15 } ) =$$

Evaluate

$$-\frac{17}{30}\approx -0.566666667$$

Solution Steps

Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.

$$\frac{4}{15}-\frac{5}{6}+\frac{0}{15}$$

Least common multiple of 15 and 6 is 30. Convert \frac{4}{15} and \frac{5}{6} to fractions with denominator 30.

$$\frac{8}{30}-\frac{25}{30}+\frac{0}{15}$$

Since \frac{8}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-25}{30}+\frac{0}{15}$$

Subtract 25 from 8 to get -17.

$$-\frac{17}{30}+\frac{0}{15}$$

Zero divided by any non-zero number gives zero.

$$-\frac{17}{30}+0$$

Add -\frac{17}{30} and 0 to get -\frac{17}{30}.

$$-\frac{17}{30}$$

Factor

$$-\frac{17}{30} = -0.5666666666666667$$