Solve (-13/9)-(-5/2)=-8/9

$$( - \frac { 13 } { 9 } ) - ( - \frac { 5 } { 2 } ) = - \frac { 8 } { 9 }$$

Verify

Solution Steps

The opposite of -\frac{5}{2} is \frac{5}{2}.

$$-\frac{13}{9}+\frac{5}{2}=-\frac{8}{9}$$

Least common multiple of 9 and 2 is 18. Convert -\frac{13}{9} and \frac{5}{2} to fractions with denominator 18.

$$-\frac{26}{18}+\frac{45}{18}=-\frac{8}{9}$$

Since -\frac{26}{18} and \frac{45}{18} have the same denominator, add them by adding their numerators.

$$\frac{-26+45}{18}=-\frac{8}{9}$$

Add -26 and 45 to get 19.

$$\frac{19}{18}=-\frac{8}{9}$$

Least common multiple of 18 and 9 is 18. Convert \frac{19}{18} and -\frac{8}{9} to fractions with denominator 18.

$$\frac{19}{18}=-\frac{16}{18}$$

Compare \frac{19}{18} and -\frac{16}{18}.

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