Solve 71/2-52/3+61/4

$$7 \frac { 1 } { 2 } - 5 \frac { 2 } { 3 } + 6 \frac { 1 } { 4 }$$

Evaluate

$$\frac{97}{12}\approx 8.083333333$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}-\frac{5\times 3+2}{3}+\frac{6\times 4+1}{4}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}-\frac{5\times 3+2}{3}+\frac{6\times 4+1}{4}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{2}-\frac{15+2}{3}+\frac{6\times 4+1}{4}$$

Add 15 and 2 to get 17.

$$\frac{15}{2}-\frac{17}{3}+\frac{6\times 4+1}{4}$$

Least common multiple of 2 and 3 is 6. Convert \frac{15}{2} and \frac{17}{3} to fractions with denominator 6.

$$\frac{45}{6}-\frac{34}{6}+\frac{6\times 4+1}{4}$$

Since \frac{45}{6} and \frac{34}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-34}{6}+\frac{6\times 4+1}{4}$$

Subtract 34 from 45 to get 11.

$$\frac{11}{6}+\frac{6\times 4+1}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{11}{6}+\frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{11}{6}+\frac{25}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{25}{4} to fractions with denominator 12.

$$\frac{22}{12}+\frac{75}{12}$$

Since \frac{22}{12} and \frac{75}{12} have the same denominator, add them by adding their numerators.

$$\frac{22+75}{12}$$

Add 22 and 75 to get 97.

$$\frac{97}{12}$$

Factor

$$\frac{97}{2 ^ {2} \cdot 3} = 8\frac{1}{12} = 8.083333333333334$$