Solve 91/3+18/9-6/7

$$9 \frac{ 1 }{ 3 } + \frac{ 18 }{ 9 } - \frac{ 6 }{ 7 }$$

Evaluate

$$\frac{220}{21}\approx 10.476190476$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+1}{3}+\frac{18}{9}-\frac{6}{7}$$

Add 27 and 1 to get 28.

$$\frac{28}{3}+\frac{18}{9}-\frac{6}{7}$$

Divide 18 by 9 to get 2.

$$\frac{28}{3}+2-\frac{6}{7}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{28}{3}+\frac{6}{3}-\frac{6}{7}$$

Since \frac{28}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{28+6}{3}-\frac{6}{7}$$

Add 28 and 6 to get 34.

$$\frac{34}{3}-\frac{6}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{34}{3} and \frac{6}{7} to fractions with denominator 21.

$$\frac{238}{21}-\frac{18}{21}$$

Since \frac{238}{21} and \frac{18}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{238-18}{21}$$

Subtract 18 from 238 to get 220.

$$\frac{220}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 11}{3 \cdot 7} = 10\frac{10}{21} = 10.476190476190476$$