Solve 92/5+41/2-31/3

$$9 \frac { 2 } { 5 } + 4 \frac { 1 } { 2 } - \frac { 31 } { 3 }$$

Evaluate

$$\frac{107}{30}\approx 3.566666667$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+2}{5}+\frac{4\times 2+1}{2}-\frac{31}{3}$$

Add 45 and 2 to get 47.

$$\frac{47}{5}+\frac{4\times 2+1}{2}-\frac{31}{3}$$

Multiply 4 and 2 to get 8.

$$\frac{47}{5}+\frac{8+1}{2}-\frac{31}{3}$$

Add 8 and 1 to get 9.

$$\frac{47}{5}+\frac{9}{2}-\frac{31}{3}$$

Least common multiple of 5 and 2 is 10. Convert \frac{47}{5} and \frac{9}{2} to fractions with denominator 10.

$$\frac{94}{10}+\frac{45}{10}-\frac{31}{3}$$

Since \frac{94}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.

$$\frac{94+45}{10}-\frac{31}{3}$$

Add 94 and 45 to get 139.

$$\frac{139}{10}-\frac{31}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{139}{10} and \frac{31}{3} to fractions with denominator 30.

$$\frac{417}{30}-\frac{310}{30}$$

Since \frac{417}{30} and \frac{310}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{417-310}{30}$$

Subtract 310 from 417 to get 107.

$$\frac{107}{30}$$

Factor

$$\frac{107}{2 \cdot 3 \cdot 5} = 3\frac{17}{30} = 3.566666666666667$$