Solve 13/15div21/6

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

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

Multiply 2 and 13 to get 26.

$$\frac{26}{5\left(1+2\times 6\right)}$$

Multiply 2 and 6 to get 12.

$$\frac{26}{5\left(1+12\right)}$$

Add 1 and 12 to get 13.

$$\frac{26}{5\times 13}$$

Multiply 5 and 13 to get 65.

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

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

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

Factor

$$\frac{2}{5} = 0.4$$