Question

Write 3.0035 as a fraction. Explain your process

Answer 1

We have to write 3.0035 as a fraction.

For doing so, we remember that for converting a decimal number to fraction, we have to convert the number to a decimal fraction, whose numerator is the same decimal number without the dot, and the denominator is a power of 10, determined by the number of decimal digits.

In this case:

`3.0035=(30035)/(10000)`

As the number has 4 decimal digits, so we put 4 zeros on the denominator. Now, we simplify the fraction obtained:

`(30035)/(10000)=(6007)/(2000)`

Now, as 6007 is a prime number, the last fraction is simplified and represents 3.0035.