Solve 35/12-25/6=

$$3 \frac { 5 } { 12 } - 2 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+5}{12}-\frac{2\times 6+5}{6}$$

Add 36 and 5 to get 41.

$$\frac{41}{12}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{41}{12}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{41}{12}-\frac{17}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{41}{12} and \frac{17}{6} to fractions with denominator 12.

$$\frac{41}{12}-\frac{34}{12}$$

Since \frac{41}{12} and \frac{34}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-34}{12}$$

Subtract 34 from 41 to get 7.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$