Solve 81/3+26/7

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

Evaluate

$$\frac{235}{21}\approx 11.19047619$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}+\frac{2\times 7+6}{7}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}+\frac{2\times 7+6}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{25}{3}+\frac{14+6}{7}$$

Add 14 and 6 to get 20.

$$\frac{25}{3}+\frac{20}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{25}{3} and \frac{20}{7} to fractions with denominator 21.

$$\frac{175}{21}+\frac{60}{21}$$

Since \frac{175}{21} and \frac{60}{21} have the same denominator, add them by adding their numerators.

$$\frac{175+60}{21}$$

Add 175 and 60 to get 235.

$$\frac{235}{21}$$

Factor

$$\frac{5 \cdot 47}{3 \cdot 7} = 11\frac{4}{21} = 11.19047619047619$$