How to convert 45.837115709412 as a fraction

Question: What is 45.837115709412 as a fraction?


Answer: 45.837115709412 as a fraction is 10130/221


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How to convert 45.837115709412 as a fraction?

Solution:45.837115709412 as a fraction is 10130/221

Step 1:

The first step to converting 45.837115709412 to a fraction is to re-write 45.837115709412 in the form p/q where p and q are both positive integers. To start with, 45.837115709412 can be written as simply 45.837115709412/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 45.837115709412, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 45.837115709412/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 45.837115709412/1 each by 1000000000000:

45837115709412/10 / 1000000000000/10 = 45837115709412 / 1000000000000

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 45.837115709412 as a fraction:

10130/221 / 1

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