Solve 1-2/7-1/4

$$1 - \frac { 2 } { 7 } - \frac { 1 } { 4 }$$

Evaluate

$$\frac{13}{28}\approx 0.464285714$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\frac{7}{7}-\frac{2}{7}-\frac{1}{4}$$

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{7}-\frac{1}{4}$$

Subtract 2 from 7 to get 5.

$$\frac{5}{7}-\frac{1}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{5}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{20}{28}-\frac{7}{28}$$

Since \frac{20}{28} and \frac{7}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-7}{28}$$

Subtract 7 from 20 to get 13.

$$\frac{13}{28}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 7} = 0.4642857142857143$$