Solve 42/12-4/12-3/12

$$\frac{ 42 }{ 12 } - \frac{ 4 }{ 12 } - \frac{ 3 }{ 12 }$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Reduce the fraction \frac{42}{12} to lowest terms by extracting and canceling out 6.

$$\frac{7}{2}-\frac{4}{12}-\frac{3}{12}$$

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

$$\frac{7}{2}-\frac{1}{3}-\frac{3}{12}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{21}{6}-\frac{2}{6}-\frac{3}{12}$$

Since \frac{21}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-2}{6}-\frac{3}{12}$$

Subtract 2 from 21 to get 19.

$$\frac{19}{6}-\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{19}{6}-\frac{1}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{19}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{38}{12}-\frac{3}{12}$$

Since \frac{38}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-3}{12}$$

Subtract 3 from 38 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$