Solve 41/3-25/6+57/12

$$4 \frac { 1 } { 3 } - 2 \frac { 5 } { 6 } + 5 \frac { 7 } { 12 }$$

Evaluate

$$\frac{85}{12}\approx 7.083333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}-\frac{2\times 6+5}{6}+\frac{5\times 12+7}{12}$$

Add 12 and 1 to get 13.

$$\frac{13}{3}-\frac{2\times 6+5}{6}+\frac{5\times 12+7}{12}$$

Multiply 2 and 6 to get 12.

$$\frac{13}{3}-\frac{12+5}{6}+\frac{5\times 12+7}{12}$$

Add 12 and 5 to get 17.

$$\frac{13}{3}-\frac{17}{6}+\frac{5\times 12+7}{12}$$

Least common multiple of 3 and 6 is 6. Convert \frac{13}{3} and \frac{17}{6} to fractions with denominator 6.

$$\frac{26}{6}-\frac{17}{6}+\frac{5\times 12+7}{12}$$

Since \frac{26}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-17}{6}+\frac{5\times 12+7}{12}$$

Subtract 17 from 26 to get 9.

$$\frac{9}{6}+\frac{5\times 12+7}{12}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}+\frac{5\times 12+7}{12}$$

Multiply 5 and 12 to get 60.

$$\frac{3}{2}+\frac{60+7}{12}$$

Add 60 and 7 to get 67.

$$\frac{3}{2}+\frac{67}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{3}{2} and \frac{67}{12} to fractions with denominator 12.

$$\frac{18}{12}+\frac{67}{12}$$

Since \frac{18}{12} and \frac{67}{12} have the same denominator, add them by adding their numerators.

$$\frac{18+67}{12}$$

Add 18 and 67 to get 85.

$$\frac{85}{12}$$

Factor

$$\frac{5 \cdot 17}{2 ^ {2} \cdot 3} = 7\frac{1}{12} = 7.083333333333333$$