Solve 63/4+15/6-23/8

$$6 \frac { 3 } { 4 } + 1 \frac { 5 } { 6 } - 2 \frac { 3 } { 8 }$$

Evaluate

$$\frac{149}{24}\approx 6.208333333$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+3}{4}+\frac{1\times 6+5}{6}-\frac{2\times 8+3}{8}$$

Add 24 and 3 to get 27.

$$\frac{27}{4}+\frac{1\times 6+5}{6}-\frac{2\times 8+3}{8}$$

Multiply 1 and 6 to get 6.

$$\frac{27}{4}+\frac{6+5}{6}-\frac{2\times 8+3}{8}$$

Add 6 and 5 to get 11.

$$\frac{27}{4}+\frac{11}{6}-\frac{2\times 8+3}{8}$$

Least common multiple of 4 and 6 is 12. Convert \frac{27}{4} and \frac{11}{6} to fractions with denominator 12.

$$\frac{81}{12}+\frac{22}{12}-\frac{2\times 8+3}{8}$$

Since \frac{81}{12} and \frac{22}{12} have the same denominator, add them by adding their numerators.

$$\frac{81+22}{12}-\frac{2\times 8+3}{8}$$

Add 81 and 22 to get 103.

$$\frac{103}{12}-\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{103}{12}-\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{103}{12}-\frac{19}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{103}{12} and \frac{19}{8} to fractions with denominator 24.

$$\frac{206}{24}-\frac{57}{24}$$

Since \frac{206}{24} and \frac{57}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{206-57}{24}$$

Subtract 57 from 206 to get 149.

$$\frac{149}{24}$$

Factor

$$\frac{149}{2 ^ {3} \cdot 3} = 6\frac{5}{24} = 6.208333333333333$$