How to convert 19.89921875 as a fraction

Question: What is 19.89921875 as a fraction?


Answer: 19.89921875 as a fraction is 2567/129


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How to convert 19.89921875 as a fraction?

Solution:19.89921875 as a fraction is 2567/129

Step 1:

The first step to converting 19.89921875 to a fraction is to re-write 19.89921875 in the form p/q where p and q are both positive integers. To start with, 19.89921875 can be written as simply 19.89921875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 19.89921875, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 19.89921875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 19.89921875/1 each by 100000000:

1989921875/10 / 100000000/10 = 1989921875 / 100000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 19.89921875 as a fraction:

2567/129 / 1

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