Solve 37/8+52/3=

$$3 \frac { 7 } { 8 } + 5 \frac { 2 } { 3 } =$$

Evaluate

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

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+7}{8}+\frac{5\times 3+2}{3}$$

Add 24 and 7 to get 31.

$$\frac{31}{8}+\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{31}{8}+\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{31}{8}+\frac{17}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{31}{8} and \frac{17}{3} to fractions with denominator 24.

$$\frac{93}{24}+\frac{136}{24}$$

Since \frac{93}{24} and \frac{136}{24} have the same denominator, add them by adding their numerators.

$$\frac{93+136}{24}$$

Add 93 and 136 to get 229.

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

Factor

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