Solve 52/3+13/8=

$$5 \frac { 2 } { 3 } + 1 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{169}{24}\approx 7.041666667$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}+\frac{1\times 8+3}{8}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}+\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

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

Add 8 and 3 to get 11.

$$\frac{17}{3}+\frac{11}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{17}{3} and \frac{11}{8} to fractions with denominator 24.

$$\frac{136}{24}+\frac{33}{24}$$

Since \frac{136}{24} and \frac{33}{24} have the same denominator, add them by adding their numerators.

$$\frac{136+33}{24}$$

Add 136 and 33 to get 169.

$$\frac{169}{24}$$

Factor

$$\frac{13 ^ {2}}{2 ^ {3} \cdot 3} = 7\frac{1}{24} = 7.041666666666667$$