Solve 34/12-6/12

$$3 \frac{ 4 }{ 12 } - \frac{ 6 }{ 12 }$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+4}{12}-\frac{6}{12}$$

Add 36 and 4 to get 40.

$$\frac{40}{12}-\frac{6}{12}$$

Reduce the fraction \frac{40}{12} to lowest terms by extracting and canceling out 4.

$$\frac{10}{3}-\frac{6}{12}$$

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

$$\frac{10}{3}-\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{10}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{20}{6}-\frac{3}{6}$$

Since \frac{20}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-3}{6}$$

Subtract 3 from 20 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$