Solve 7/9-2/3=?/9-7/9=frac{7}{9}

$$\frac { 7 } { 9 } - \frac { 2 } { 3 } = \frac { ? } { 9 } - \frac { 7 } { 9 } = \frac { 7 } { 9 }$$

Verify

Solution Steps

Least common multiple of 9 and 3 is 9. Convert \frac{7}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{7}{9}-\frac{6}{9}=\frac{1}{9}-\frac{7}{9}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Since \frac{7}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{9}=\frac{1}{9}-\frac{7}{9}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{9}=\frac{1}{9}-\frac{7}{9}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Since \frac{1}{9} and \frac{7}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{9}=\frac{1-7}{9}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Subtract 7 from 1 to get -6.

$$\frac{1}{9}=\frac{-6}{9}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Reduce the fraction \frac{-6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{9}=-\frac{2}{3}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Least common multiple of 9 and 3 is 9. Convert \frac{1}{9} and -\frac{2}{3} to fractions with denominator 9.

$$\frac{1}{9}=-\frac{6}{9}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Compare \frac{1}{9} and -\frac{6}{9}.

$$\text{false}\text{ and }\frac{1}{9}-\frac{7}{9}=\frac{7}{9}$$

Since \frac{1}{9} and \frac{7}{9} have the same denominator, subtract them by subtracting their numerators.

$$\text{false}\text{ and }\frac{1-7}{9}=\frac{7}{9}$$

Subtract 7 from 1 to get -6.

$$\text{false}\text{ and }\frac{-6}{9}=\frac{7}{9}$$

Reduce the fraction \frac{-6}{9} to lowest terms by extracting and canceling out 3.

$$\text{false}\text{ and }-\frac{2}{3}=\frac{7}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{2}{3} and \frac{7}{9} to fractions with denominator 9.

$$\text{false}\text{ and }-\frac{6}{9}=\frac{7}{9}$$

Compare -\frac{6}{9} and \frac{7}{9}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$