How to convert 542.9725 as a fraction

Question: What is 542.9725 as a fraction?


Answer: 542.9725 as a fraction is 19547/36


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How to convert 542.9725 as a fraction?

Solution:542.9725 as a fraction is 19547/36

Step 1:

The first step to converting 542.9725 to a fraction is to re-write 542.9725 in the form p/q where p and q are both positive integers. To start with, 542.9725 can be written as simply 542.9725/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 542.9725, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 542.9725/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 542.9725/1 each by 10000:

5429725/10 / 10000/10 = 5429725 / 10000

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 542.9725 as a fraction:

19547/36 / 1

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