Question

Write $6.45$ as a reduced fraction.

Answer 1

Do you want to know how to write the decimal number 6.45 as a fraction?

Here we will show you step-by-step how to convert 6.45 so you can write it as a fraction.

You can take any number, such as 6.45, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

6.45 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.45, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

645 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 645 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:

129 / 20

Therefore, 6.45 as a fraction is as follows:

129 / 20