Solve (1-3/4+2/7)*28

$$( 1 - \frac { 3 } { 4 } + \frac { 2 } { 7 } ) \times 28$$

Evaluate

$$15$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\left(\frac{4}{4}-\frac{3}{4}+\frac{2}{7}\right)\times 28$$

Since \frac{4}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{4-3}{4}+\frac{2}{7}\right)\times 28$$

Subtract 3 from 4 to get 1.

$$\left(\frac{1}{4}+\frac{2}{7}\right)\times 28$$

Least common multiple of 4 and 7 is 28. Convert \frac{1}{4} and \frac{2}{7} to fractions with denominator 28.

$$\left(\frac{7}{28}+\frac{8}{28}\right)\times 28$$

Since \frac{7}{28} and \frac{8}{28} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{28}\times 28$$

Add 7 and 8 to get 15.

$$\frac{15}{28}\times 28$$

Cancel out 28 and 28.

$$15$$

Factor

$$3\times 5$$