Solve 1-5/24-3/8

$$1- \frac{ 5 }{ 24 } - \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Convert 1 to fraction \frac{24}{24}.

$$\frac{24}{24}-\frac{5}{24}-\frac{3}{8}$$

Since \frac{24}{24} and \frac{5}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{24}-\frac{3}{8}$$

Subtract 5 from 24 to get 19.

$$\frac{19}{24}-\frac{3}{8}$$

Least common multiple of 24 and 8 is 24. Convert \frac{19}{24} and \frac{3}{8} to fractions with denominator 24.

$$\frac{19}{24}-\frac{9}{24}$$

Since \frac{19}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-9}{24}$$

Subtract 9 from 19 to get 10.

$$\frac{10}{24}$$

Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$