Solve 1/5-7=2/5+1

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

Verify

Solution Steps

Subtract 7 from 5 to get -2.

$$\frac{1}{-2}=\frac{2}{5+1}$$

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{2}=\frac{2}{5+1}$$

Add 5 and 1 to get 6.

$$-\frac{1}{2}=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

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

$$-\frac{3}{6}=\frac{2}{6}$$

Compare -\frac{3}{6} and \frac{2}{6}.

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