How to convert 562.7415 as a fraction

Question: What is 562.7415 as a fraction?


Answer: 562.7415 as a fraction is 17445/31


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How to convert 562.7415 as a fraction?

Solution:562.7415 as a fraction is 17445/31

Step 1:

The first step to converting 562.7415 to a fraction is to re-write 562.7415 in the form p/q where p and q are both positive integers. To start with, 562.7415 can be written as simply 562.7415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 562.7415, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 562.7415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 562.7415/1 each by 10000:

5627415/10 / 10000/10 = 5627415 / 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 562.7415 as a fraction:

17445/31 / 1

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