How to convert 548.20778971875 as a fraction

Question: What is 548.20778971875 as a fraction?


Answer: 548.20778971875 as a fraction is 13157/24


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How to convert 548.20778971875 as a fraction?

Solution:548.20778971875 as a fraction is 13157/24

Step 1:

The first step to converting 548.20778971875 to a fraction is to re-write 548.20778971875 in the form p/q where p and q are both positive integers. To start with, 548.20778971875 can be written as simply 548.20778971875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 548.20778971875, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 548.20778971875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 548.20778971875/1 each by 100000000000:

54820778971875/10 / 100000000000/10 = 54820778971875 / 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 548.20778971875 as a fraction:

13157/24 / 1

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