Solve 10/2-1/4-3/6=

$$\frac { 10 } { 2 } - \frac { 1 } { 4 } - \frac { 3 } { 6 } =$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Divide 10 by 2 to get 5.

$$5-\frac{1}{4}-\frac{3}{6}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{20}{4}-\frac{1}{4}-\frac{3}{6}$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-1}{4}-\frac{3}{6}$$

Subtract 1 from 20 to get 19.

$$\frac{19}{4}-\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{19}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{19}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{19}{4}-\frac{2}{4}$$

Since \frac{19}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-2}{4}$$

Subtract 2 from 19 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$