How to convert 10511.415 as a fraction

Question: What is 10511.415 as a fraction?


Answer: 10511.415 as a fraction is 126137/12


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How to convert 10511.415 as a fraction?

Solution:10511.415 as a fraction is 126137/12

Step 1:

The first step to converting 10511.415 to a fraction is to re-write 10511.415 in the form p/q where p and q are both positive integers. To start with, 10511.415 can be written as simply 10511.415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 10511.415, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 10511.415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 10511.415/1 each by 1000:

10511415/10 / 1000/10 = 10511415 / 1000

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 10511.415 as a fraction:

126137/12 / 1

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