Solve 52/3+98/9+75/6+91/8

$$5 \frac { 2 } { 3 } + 9 \frac { 8 } { 9 } + 7 \frac { 5 } { 6 } + 9 \frac { 1 } { 8 }$$

Evaluate

$$\frac{2341}{72}\approx 32.513888889$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}+\frac{9\times 9+8}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}+\frac{9\times 9+8}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Multiply 9 and 9 to get 81.

$$\frac{17}{3}+\frac{81+8}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Add 81 and 8 to get 89.

$$\frac{17}{3}+\frac{89}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Least common multiple of 3 and 9 is 9. Convert \frac{17}{3} and \frac{89}{9} to fractions with denominator 9.

$$\frac{51}{9}+\frac{89}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Since \frac{51}{9} and \frac{89}{9} have the same denominator, add them by adding their numerators.

$$\frac{51+89}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Add 51 and 89 to get 140.

$$\frac{140}{9}+\frac{7\times 6+5}{6}+\frac{9\times 8+1}{8}$$

Multiply 7 and 6 to get 42.

$$\frac{140}{9}+\frac{42+5}{6}+\frac{9\times 8+1}{8}$$

Add 42 and 5 to get 47.

$$\frac{140}{9}+\frac{47}{6}+\frac{9\times 8+1}{8}$$

Least common multiple of 9 and 6 is 18. Convert \frac{140}{9} and \frac{47}{6} to fractions with denominator 18.

$$\frac{280}{18}+\frac{141}{18}+\frac{9\times 8+1}{8}$$

Since \frac{280}{18} and \frac{141}{18} have the same denominator, add them by adding their numerators.

$$\frac{280+141}{18}+\frac{9\times 8+1}{8}$$

Add 280 and 141 to get 421.

$$\frac{421}{18}+\frac{9\times 8+1}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{421}{18}+\frac{72+1}{8}$$

Add 72 and 1 to get 73.

$$\frac{421}{18}+\frac{73}{8}$$

Least common multiple of 18 and 8 is 72. Convert \frac{421}{18} and \frac{73}{8} to fractions with denominator 72.

$$\frac{1684}{72}+\frac{657}{72}$$

Since \frac{1684}{72} and \frac{657}{72} have the same denominator, add them by adding their numerators.

$$\frac{1684+657}{72}$$

Add 1684 and 657 to get 2341.

$$\frac{2341}{72}$$

Factor

$$\frac{2341}{2 ^ {3} \cdot 3 ^ {2}} = 32\frac{37}{72} = 32.513888888888886$$