Solve 2/5+1/2+7/6=34/15

$$\frac{ 2 }{ 5 } + \frac{ 1 }{ 2 } + \frac{ 7 }{ 6 } = \frac{ 34 }{ 15 }$$

Verify

Solution Steps

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

$$\frac{4}{10}+\frac{5}{10}+\frac{7}{6}=\frac{34}{15}$$

Since \frac{4}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+5}{10}+\frac{7}{6}=\frac{34}{15}$$

Add 4 and 5 to get 9.

$$\frac{9}{10}+\frac{7}{6}=\frac{34}{15}$$

Least common multiple of 10 and 6 is 30. Convert \frac{9}{10} and \frac{7}{6} to fractions with denominator 30.

$$\frac{27}{30}+\frac{35}{30}=\frac{34}{15}$$

Since \frac{27}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{27+35}{30}=\frac{34}{15}$$

Add 27 and 35 to get 62.

$$\frac{62}{30}=\frac{34}{15}$$

Reduce the fraction \frac{62}{30} to lowest terms by extracting and canceling out 2.

$$\frac{31}{15}=\frac{34}{15}$$

Compare \frac{31}{15} and \frac{34}{15}.

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