How to convert 567.61874999875 as a fraction

Question: What is 567.61874999875 as a fraction?


Answer: 567.61874999875 as a fraction is 11920/21


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How to convert 567.61874999875 as a fraction?

Solution:567.61874999875 as a fraction is 11920/21

Step 1:

The first step to converting 567.61874999875 to a fraction is to re-write 567.61874999875 in the form p/q where p and q are both positive integers. To start with, 567.61874999875 can be written as simply 567.61874999875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 567.61874999875, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 567.61874999875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 567.61874999875/1 each by 100000000000:

56761874999875/10 / 100000000000/10 = 56761874999875 / 100000000000

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 567.61874999875 as a fraction:

11920/21 / 1

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