Solve 3/8+25/12+63/4

$$\frac { 3 } { 8 } + 2 \frac { 5 } { 12 } + 6 \frac { 3 } { 4 }$$

Evaluate

$$\frac{229}{24}\approx 9.541666667$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{3}{8}+\frac{24+5}{12}+\frac{6\times 4+3}{4}$$

Add 24 and 5 to get 29.

$$\frac{3}{8}+\frac{29}{12}+\frac{6\times 4+3}{4}$$

Least common multiple of 8 and 12 is 24. Convert \frac{3}{8} and \frac{29}{12} to fractions with denominator 24.

$$\frac{9}{24}+\frac{58}{24}+\frac{6\times 4+3}{4}$$

Since \frac{9}{24} and \frac{58}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+58}{24}+\frac{6\times 4+3}{4}$$

Add 9 and 58 to get 67.

$$\frac{67}{24}+\frac{6\times 4+3}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{67}{24}+\frac{24+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{67}{24}+\frac{27}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{67}{24} and \frac{27}{4} to fractions with denominator 24.

$$\frac{67}{24}+\frac{162}{24}$$

Since \frac{67}{24} and \frac{162}{24} have the same denominator, add them by adding their numerators.

$$\frac{67+162}{24}$$

Add 67 and 162 to get 229.

$$\frac{229}{24}$$

Factor

$$\frac{229}{2 ^ {3} \cdot 3} = 9\frac{13}{24} = 9.541666666666666$$