Solve 73/8+15/6

$$7 \frac { 3 } { 8 } + 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{221}{24}\approx 9.208333333$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}+\frac{1\times 6+5}{6}$$

Add 56 and 3 to get 59.

$$\frac{59}{8}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{59}{8}+\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{59}{8}+\frac{11}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{59}{8} and \frac{11}{6} to fractions with denominator 24.

$$\frac{177}{24}+\frac{44}{24}$$

Since \frac{177}{24} and \frac{44}{24} have the same denominator, add them by adding their numerators.

$$\frac{177+44}{24}$$

Add 177 and 44 to get 221.

$$\frac{221}{24}$$

Factor

$$\frac{13 \cdot 17}{2 ^ {3} \cdot 3} = 9\frac{5}{24} = 9.208333333333334$$