Solve 99999div5+9999div5+999div5+99div5+9div5

$$99999 \div 5+9999 \div 5+999 \div 5+99 \div 5+9 \div 5$$

Evaluate

$$22221$$

Solution Steps

Since \frac{99999}{5} and \frac{9999}{5} have the same denominator, add them by adding their numerators.

$$\frac{99999+9999}{5}+\frac{999}{5}+\frac{99}{5}+\frac{9}{5}$$

Add 99999 and 9999 to get 109998.

$$\frac{109998}{5}+\frac{999}{5}+\frac{99}{5}+\frac{9}{5}$$

Since \frac{109998}{5} and \frac{999}{5} have the same denominator, add them by adding their numerators.

$$\frac{109998+999}{5}+\frac{99}{5}+\frac{9}{5}$$

Add 109998 and 999 to get 110997.

$$\frac{110997}{5}+\frac{99}{5}+\frac{9}{5}$$

Since \frac{110997}{5} and \frac{99}{5} have the same denominator, add them by adding their numerators.

$$\frac{110997+99}{5}+\frac{9}{5}$$

Add 110997 and 99 to get 111096.

$$\frac{111096}{5}+\frac{9}{5}$$

Since \frac{111096}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{111096+9}{5}$$

Add 111096 and 9 to get 111105.

$$\frac{111105}{5}$$

Divide 111105 by 5 to get 22221.

$$22221$$

Factor

$$3^{3}\times 823$$