Solve 63/4-42/3+17/12

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

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+3}{4}-\frac{4\times 3+2}{3}+\frac{1\times 12+7}{12}$$

Add 24 and 3 to get 27.

$$\frac{27}{4}-\frac{4\times 3+2}{3}+\frac{1\times 12+7}{12}$$

Multiply 4 and 3 to get 12.

$$\frac{27}{4}-\frac{12+2}{3}+\frac{1\times 12+7}{12}$$

Add 12 and 2 to get 14.

$$\frac{27}{4}-\frac{14}{3}+\frac{1\times 12+7}{12}$$

Least common multiple of 4 and 3 is 12. Convert \frac{27}{4} and \frac{14}{3} to fractions with denominator 12.

$$\frac{81}{12}-\frac{56}{12}+\frac{1\times 12+7}{12}$$

Since \frac{81}{12} and \frac{56}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-56}{12}+\frac{1\times 12+7}{12}$$

Subtract 56 from 81 to get 25.

$$\frac{25}{12}+\frac{1\times 12+7}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{25}{12}+\frac{12+7}{12}$$

Add 12 and 7 to get 19.

$$\frac{25}{12}+\frac{19}{12}$$

Since \frac{25}{12} and \frac{19}{12} have the same denominator, add them by adding their numerators.

$$\frac{25+19}{12}$$

Add 25 and 19 to get 44.

$$\frac{44}{12}$$

Reduce the fraction \frac{44}{12} to lowest terms by extracting and canceling out 4.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$