Solve 92/6-65/6

$$9 \frac{ 2 }{ 6 } -6 \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 9 and 6 to get 54.

$$\frac{54+2}{6}-\frac{6\times 6+5}{6}$$

Add 54 and 2 to get 56.

$$\frac{56}{6}-\frac{6\times 6+5}{6}$$

Reduce the fraction \frac{56}{6} to lowest terms by extracting and canceling out 2.

$$\frac{28}{3}-\frac{6\times 6+5}{6}$$

Multiply 6 and 6 to get 36.

$$\frac{28}{3}-\frac{36+5}{6}$$

Add 36 and 5 to get 41.

$$\frac{28}{3}-\frac{41}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{28}{3} and \frac{41}{6} to fractions with denominator 6.

$$\frac{56}{6}-\frac{41}{6}$$

Since \frac{56}{6} and \frac{41}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-41}{6}$$

Subtract 41 from 56 to get 15.

$$\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$