Solve 23/10div13/20

$$2 \frac { 3 } { 10 } \div 1 \frac { 3 } { 20 }$$

Evaluate

$$2$$

Solution Steps

Divide \frac{2\times 10+3}{10} by \frac{1\times 20+3}{20} by multiplying \frac{2\times 10+3}{10} by the reciprocal of \frac{1\times 20+3}{20}.

$$\frac{\left(2\times 10+3\right)\times 20}{10\left(1\times 20+3\right)}$$

Cancel out 10 in both numerator and denominator.

$$\frac{2\left(3+2\times 10\right)}{3+20}$$

Multiply 2 and 10 to get 20.

$$\frac{2\left(3+20\right)}{3+20}$$

Add 3 and 20 to get 23.

$$\frac{2\times 23}{3+20}$$

Multiply 2 and 23 to get 46.

$$\frac{46}{3+20}$$

Add 3 and 20 to get 23.

$$\frac{46}{23}$$

Divide 46 by 23 to get 2.

$$2$$

Factor

$$2$$