Solve 21/6div13/15

$$2 \frac { 1 } { 6 } \div \frac { 13 } { 15 }$$

Evaluate

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

Solution Steps

Divide \frac{2\times 6+1}{6} by \frac{13}{15} by multiplying \frac{2\times 6+1}{6} by the reciprocal of \frac{13}{15}.

$$\frac{\left(2\times 6+1\right)\times 15}{6\times 13}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5\left(1+2\times 6\right)}{2\times 13}$$

Multiply 2 and 6 to get 12.

$$\frac{5\left(1+12\right)}{2\times 13}$$

Add 1 and 12 to get 13.

$$\frac{5\times 13}{2\times 13}$$

Multiply 5 and 13 to get 65.

$$\frac{65}{2\times 13}$$

Multiply 2 and 13 to get 26.

$$\frac{65}{26}$$

Reduce the fraction \frac{65}{26} to lowest terms by extracting and canceling out 13.

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

Factor

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