Solve 53/4+27/8+57/12

$$5 \frac { 3 } { 4 } + 2 \frac { 7 } { 8 } + 5 \frac { 7 } { 12 }$$

Evaluate

$$\frac{341}{24}\approx 14.208333333$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}+\frac{2\times 8+7}{8}+\frac{5\times 12+7}{12}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}+\frac{2\times 8+7}{8}+\frac{5\times 12+7}{12}$$

Multiply 2 and 8 to get 16.

$$\frac{23}{4}+\frac{16+7}{8}+\frac{5\times 12+7}{12}$$

Add 16 and 7 to get 23.

$$\frac{23}{4}+\frac{23}{8}+\frac{5\times 12+7}{12}$$

Least common multiple of 4 and 8 is 8. Convert \frac{23}{4} and \frac{23}{8} to fractions with denominator 8.

$$\frac{46}{8}+\frac{23}{8}+\frac{5\times 12+7}{12}$$

Since \frac{46}{8} and \frac{23}{8} have the same denominator, add them by adding their numerators.

$$\frac{46+23}{8}+\frac{5\times 12+7}{12}$$

Add 46 and 23 to get 69.

$$\frac{69}{8}+\frac{5\times 12+7}{12}$$

Multiply 5 and 12 to get 60.

$$\frac{69}{8}+\frac{60+7}{12}$$

Add 60 and 7 to get 67.

$$\frac{69}{8}+\frac{67}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{69}{8} and \frac{67}{12} to fractions with denominator 24.

$$\frac{207}{24}+\frac{134}{24}$$

Since \frac{207}{24} and \frac{134}{24} have the same denominator, add them by adding their numerators.

$$\frac{207+134}{24}$$

Add 207 and 134 to get 341.

$$\frac{341}{24}$$

Factor

$$\frac{11 \cdot 31}{2 ^ {3} \cdot 3} = 14\frac{5}{24} = 14.208333333333334$$