Solve 11/10div15/6

$$1 \frac { 1 } { 10 } \div 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Divide \frac{1\times 10+1}{10} by \frac{1\times 6+5}{6} by multiplying \frac{1\times 10+1}{10} by the reciprocal of \frac{1\times 6+5}{6}.

$$\frac{\left(1\times 10+1\right)\times 6}{10\left(1\times 6+5\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(1+10\right)}{5\left(5+6\right)}$$

Add 1 and 10 to get 11.

$$\frac{3\times 11}{5\left(5+6\right)}$$

Multiply 3 and 11 to get 33.

$$\frac{33}{5\left(5+6\right)}$$

Add 5 and 6 to get 11.

$$\frac{33}{5\times 11}$$

Multiply 5 and 11 to get 55.

$$\frac{33}{55}$$

Reduce the fraction \frac{33}{55} to lowest terms by extracting and canceling out 11.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$