Solve =1/3-5/2=-1/6

$$= \frac { 1 } { 3 } - \frac { 5 } { 2 } = \frac { - 1 } { 6 }$$

Verify

Solution Steps

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

$$\frac{2}{6}-\frac{15}{6}=\frac{-1}{6}$$

Since \frac{2}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{6}=\frac{-1}{6}$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{6}=\frac{-1}{6}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\frac{13}{6}=-\frac{1}{6}$$

Compare -\frac{13}{6} and -\frac{1}{6}.

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