Solve 3/2+1/5=4/15

$$\frac { 3 } { 2 } + \frac { 1 } { 5 } = \frac { 4 } { 15 }$$

Verify

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{2}{10}=\frac{4}{15}$$

Since \frac{15}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{10}=\frac{4}{15}$$

Add 15 and 2 to get 17.

$$\frac{17}{10}=\frac{4}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{17}{10} and \frac{4}{15} to fractions with denominator 30.

$$\frac{51}{30}=\frac{8}{30}$$

Compare \frac{51}{30} and \frac{8}{30}.

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