Solve 82/3-21/6

$$8 \frac { 2 } { 3 } - 2 \frac { 1 } { 6 }$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+2}{3}-\frac{2\times 6+1}{6}$$

Add 24 and 2 to get 26.

$$\frac{26}{3}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{26}{3}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{26}{3}-\frac{13}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{26}{3} and \frac{13}{6} to fractions with denominator 6.

$$\frac{52}{6}-\frac{13}{6}$$

Since \frac{52}{6} and \frac{13}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-13}{6}$$

Subtract 13 from 52 to get 39.

$$\frac{39}{6}$$

Reduce the fraction \frac{39}{6} to lowest terms by extracting and canceling out 3.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$