Solve 1-3/7-1/4=

$$1 - \frac { 3 } { 7 } - \frac { 1 } { 4 } =$$

Evaluate

$$\frac{9}{28}\approx 0.321428571$$

Solution Steps

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

$$\frac{7}{7}-\frac{3}{7}-\frac{1}{4}$$

Since \frac{7}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{7}-\frac{1}{4}$$

Subtract 3 from 7 to get 4.

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

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

$$\frac{16}{28}-\frac{7}{28}$$

Since \frac{16}{28} and \frac{7}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-7}{28}$$

Subtract 7 from 16 to get 9.

$$\frac{9}{28}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 7} = 0.32142857142857145$$