Solve 11.2div91/3=

$$11.2 \div 9 \frac { 1 } { 3 } =$$

Evaluate

$$1.2$$

Solution Steps

Divide 11.2 by \frac{9\times 3+1}{3} by multiplying 11.2 by the reciprocal of \frac{9\times 3+1}{3}.

$$\frac{11.2\times 3}{9\times 3+1}$$

Multiply 11.2 and 3 to get 33.6.

$$\frac{33.6}{9\times 3+1}$$

Multiply 9 and 3 to get 27.

$$\frac{33.6}{27+1}$$

Add 27 and 1 to get 28.

$$\frac{33.6}{28}$$

Expand \frac{33.6}{28} by multiplying both numerator and the denominator by 10.

$$\frac{336}{280}$$

Reduce the fraction \frac{336}{280} to lowest terms by extracting and canceling out 56.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$