Solve 48-2/3-1/4

$$48 - \frac { 2 } { 3 } - \frac { 1 } { 4 }$$

Evaluate

$$\frac{565}{12}\approx 47.083333333$$

Solution Steps

Convert 48 to fraction \frac{144}{3}.

$$\frac{144}{3}-\frac{2}{3}-\frac{1}{4}$$

Since \frac{144}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-2}{3}-\frac{1}{4}$$

Subtract 2 from 144 to get 142.

$$\frac{142}{3}-\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{142}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{568}{12}-\frac{3}{12}$$

Since \frac{568}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{568-3}{12}$$

Subtract 3 from 568 to get 565.

$$\frac{565}{12}$$

Factor

$$\frac{5 \cdot 113}{2 ^ {2} \cdot 3} = 47\frac{1}{12} = 47.083333333333336$$