Solve 3/8+4/9=3/16

$$\frac { 3 } { 8 } + \frac { 4 } { 9 } = \frac { 3 } { 16 }$$

Verify

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{3}{8} and \frac{4}{9} to fractions with denominator 72.

$$\frac{27}{72}+\frac{32}{72}=\frac{3}{16}$$

Since \frac{27}{72} and \frac{32}{72} have the same denominator, add them by adding their numerators.

$$\frac{27+32}{72}=\frac{3}{16}$$

Add 27 and 32 to get 59.

$$\frac{59}{72}=\frac{3}{16}$$

Least common multiple of 72 and 16 is 144. Convert \frac{59}{72} and \frac{3}{16} to fractions with denominator 144.

$$\frac{118}{144}=\frac{27}{144}$$

Compare \frac{118}{144} and \frac{27}{144}.

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