Solve 3/4+2/9=3/-4

$$\frac { 3 } { 4 } + \frac { 2 } { 9 } = \frac { 3 } { - 4 }$$

Verify

Solution Steps

Least common multiple of 4 and 9 is 36. Convert \frac{3}{4} and \frac{2}{9} to fractions with denominator 36.

$$\frac{27}{36}+\frac{8}{36}=\frac{3}{-4}$$

Since \frac{27}{36} and \frac{8}{36} have the same denominator, add them by adding their numerators.

$$\frac{27+8}{36}=\frac{3}{-4}$$

Add 27 and 8 to get 35.

$$\frac{35}{36}=\frac{3}{-4}$$

Fraction \frac{3}{-4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\frac{35}{36}=-\frac{3}{4}$$

Least common multiple of 36 and 4 is 36. Convert \frac{35}{36} and -\frac{3}{4} to fractions with denominator 36.

$$\frac{35}{36}=-\frac{27}{36}$$

Compare \frac{35}{36} and -\frac{27}{36}.

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