Solve 15/12+25/8+7/12

$$1 \frac{ 5 }{ 12 } +2 \frac{ 5 }{ 8 } + \frac{ 7 }{ 12 }$$

Evaluate

$$\frac{37}{8}=4.625$$

Solution Steps

Multiply 1 and 12 to get 12.

$$\frac{12+5}{12}+\frac{2\times 8+5}{8}+\frac{7}{12}$$

Add 12 and 5 to get 17.

$$\frac{17}{12}+\frac{2\times 8+5}{8}+\frac{7}{12}$$

Multiply 2 and 8 to get 16.

$$\frac{17}{12}+\frac{16+5}{8}+\frac{7}{12}$$

Add 16 and 5 to get 21.

$$\frac{17}{12}+\frac{21}{8}+\frac{7}{12}$$

Least common multiple of 12 and 8 is 24. Convert \frac{17}{12} and \frac{21}{8} to fractions with denominator 24.

$$\frac{34}{24}+\frac{63}{24}+\frac{7}{12}$$

Since \frac{34}{24} and \frac{63}{24} have the same denominator, add them by adding their numerators.

$$\frac{34+63}{24}+\frac{7}{12}$$

Add 34 and 63 to get 97.

$$\frac{97}{24}+\frac{7}{12}$$

Least common multiple of 24 and 12 is 24. Convert \frac{97}{24} and \frac{7}{12} to fractions with denominator 24.

$$\frac{97}{24}+\frac{14}{24}$$

Since \frac{97}{24} and \frac{14}{24} have the same denominator, add them by adding their numerators.

$$\frac{97+14}{24}$$

Add 97 and 14 to get 111.

$$\frac{111}{24}$$

Reduce the fraction \frac{111}{24} to lowest terms by extracting and canceling out 3.

$$\frac{37}{8}$$

Factor

$$\frac{37}{2 ^ {3}} = 4\frac{5}{8} = 4.625$$