Solve 5/7-2/7+3/4=5/7

$$\frac { 5 } { 7 } - \frac { 2 } { 7 } + \frac { 3 } { 4 } = \frac { 5 } { 7 }$$

Verify

Solution Steps

Since \frac{5}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{7}+\frac{3}{4}=\frac{5}{7}$$

Subtract 2 from 5 to get 3.

$$\frac{3}{7}+\frac{3}{4}=\frac{5}{7}$$

Least common multiple of 7 and 4 is 28. Convert \frac{3}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{12}{28}+\frac{21}{28}=\frac{5}{7}$$

Since \frac{12}{28} and \frac{21}{28} have the same denominator, add them by adding their numerators.

$$\frac{12+21}{28}=\frac{5}{7}$$

Add 12 and 21 to get 33.

$$\frac{33}{28}=\frac{5}{7}$$

Least common multiple of 28 and 7 is 28. Convert \frac{33}{28} and \frac{5}{7} to fractions with denominator 28.

$$\frac{33}{28}=\frac{20}{28}$$

Compare \frac{33}{28} and \frac{20}{28}.

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