Solve 1/5+999494/495*99=

$$\frac{ 1 }{ 5 } +999 \frac{ 494 }{ 495 } \times 99=$$

Evaluate

$$99000$$

Solution Steps

Multiply 999 and 495 to get 494505.

$$\frac{1}{5}+\frac{494505+494}{495}\times 99$$

Add 494505 and 494 to get 494999.

$$\frac{1}{5}+\frac{494999}{495}\times 99$$

Express \frac{494999}{495}\times 99 as a single fraction.

$$\frac{1}{5}+\frac{494999\times 99}{495}$$

Multiply 494999 and 99 to get 49004901.

$$\frac{1}{5}+\frac{49004901}{495}$$

Reduce the fraction \frac{49004901}{495} to lowest terms by extracting and canceling out 99.

$$\frac{1}{5}+\frac{494999}{5}$$

Since \frac{1}{5} and \frac{494999}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+494999}{5}$$

Add 1 and 494999 to get 495000.

$$\frac{495000}{5}$$

Divide 495000 by 5 to get 99000.

$$99000$$

Factor

$$2^{3}\times 3^{2}\times 5^{3}\times 11$$