Solve 5-124/15-1/2/3

$$\frac { 5 - \frac { 124 } { 15 } - \frac { 1 } { 2 } } { 3 }$$

Evaluate

$$-\frac{113}{90}\approx -1.255555556$$

Solution Steps

Convert 5 to fraction \frac{75}{15}.

$$\frac{\frac{75}{15}-\frac{124}{15}-\frac{1}{2}}{3}$$

Since \frac{75}{15} and \frac{124}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{75-124}{15}-\frac{1}{2}}{3}$$

Subtract 124 from 75 to get -49.

$$\frac{-\frac{49}{15}-\frac{1}{2}}{3}$$

Least common multiple of 15 and 2 is 30. Convert -\frac{49}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{-\frac{98}{30}-\frac{15}{30}}{3}$$

Since -\frac{98}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-98-15}{30}}{3}$$

Subtract 15 from -98 to get -113.

$$\frac{-\frac{113}{30}}{3}$$

Express \frac{-\frac{113}{30}}{3} as a single fraction.

$$\frac{-113}{30\times 3}$$

Multiply 30 and 3 to get 90.

$$\frac{-113}{90}$$

Fraction \frac{-113}{90} can be rewritten as -\frac{113}{90} by extracting the negative sign.

$$-\frac{113}{90}$$

Factor

$$-\frac{113}{90} = -1\frac{23}{90} = -1.2555555555555555$$