Solve 7/22-14/33-4/66=1/66

$$\frac { 7 } { 22 } - \frac { 14 } { 33 } - \frac { 4 } { 66 } = \frac { 1 } { 66 }$$

Verify

Solution Steps

Least common multiple of 22 and 33 is 66. Convert \frac{7}{22} and \frac{14}{33} to fractions with denominator 66.

$$\frac{21}{66}-\frac{28}{66}-\frac{4}{66}=\frac{1}{66}$$

Since \frac{21}{66} and \frac{28}{66} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-28}{66}-\frac{4}{66}=\frac{1}{66}$$

Subtract 28 from 21 to get -7.

$$-\frac{7}{66}-\frac{4}{66}=\frac{1}{66}$$

Since -\frac{7}{66} and \frac{4}{66} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-4}{66}=\frac{1}{66}$$

Subtract 4 from -7 to get -11.

$$\frac{-11}{66}=\frac{1}{66}$$

Reduce the fraction \frac{-11}{66} to lowest terms by extracting and canceling out 11.

$$-\frac{1}{6}=\frac{1}{66}$$

Least common multiple of 6 and 66 is 66. Convert -\frac{1}{6} and \frac{1}{66} to fractions with denominator 66.

$$-\frac{11}{66}=\frac{1}{66}$$

Compare -\frac{11}{66} and \frac{1}{66}.

$$\text{false}$$