Solve 44/5div22/5=

$$4 \frac { 4 } { 5 } \div 2 \frac { 2 } { 5 } =$$

Evaluate

$$2$$

Solution Steps

Divide \frac{4\times 5+4}{5} by \frac{2\times 5+2}{5} by multiplying \frac{4\times 5+4}{5} by the reciprocal of \frac{2\times 5+2}{5}.

$$\frac{\left(4\times 5+4\right)\times 5}{5\left(2\times 5+2\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4+4\times 5}{2+2\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{4+20}{2+2\times 5}$$

Add 4 and 20 to get 24.

$$\frac{24}{2+2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{24}{2+10}$$

Add 2 and 10 to get 12.

$$\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$2$$

Factor

$$2$$