Solve 85/6+75/2+62/3

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

Evaluate

$$25$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+5}{6}+\frac{7\times 2+5}{2}+\frac{6\times 3+2}{3}$$

Add 48 and 5 to get 53.

$$\frac{53}{6}+\frac{7\times 2+5}{2}+\frac{6\times 3+2}{3}$$

Multiply 7 and 2 to get 14.

$$\frac{53}{6}+\frac{14+5}{2}+\frac{6\times 3+2}{3}$$

Add 14 and 5 to get 19.

$$\frac{53}{6}+\frac{19}{2}+\frac{6\times 3+2}{3}$$

Least common multiple of 6 and 2 is 6. Convert \frac{53}{6} and \frac{19}{2} to fractions with denominator 6.

$$\frac{53}{6}+\frac{57}{6}+\frac{6\times 3+2}{3}$$

Since \frac{53}{6} and \frac{57}{6} have the same denominator, add them by adding their numerators.

$$\frac{53+57}{6}+\frac{6\times 3+2}{3}$$

Add 53 and 57 to get 110.

$$\frac{110}{6}+\frac{6\times 3+2}{3}$$

Reduce the fraction \frac{110}{6} to lowest terms by extracting and canceling out 2.

$$\frac{55}{3}+\frac{6\times 3+2}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{55}{3}+\frac{18+2}{3}$$

Add 18 and 2 to get 20.

$$\frac{55}{3}+\frac{20}{3}$$

Since \frac{55}{3} and \frac{20}{3} have the same denominator, add them by adding their numerators.

$$\frac{55+20}{3}$$

Add 55 and 20 to get 75.

$$\frac{75}{3}$$

Divide 75 by 3 to get 25.

$$25$$

Factor

$$5^{2}$$