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

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

Verify

Solution Steps

Divide 2 by 2 to get 1.

$$1+\frac{2}{3}-\frac{2}{4}=7$$

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}-\frac{1}{2}=7$$

Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{10}{6}-\frac{3}{6}=7$$

Since \frac{10}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{6}=7$$

Subtract 3 from 10 to get 7.

$$\frac{7}{6}=7$$

Convert 7 to fraction \frac{42}{6}.

$$\frac{7}{6}=\frac{42}{6}$$

Compare \frac{7}{6} and \frac{42}{6}.

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