How to convert 1258.4465723415 as a fraction

Question: What is 1258.4465723415 as a fraction?


Answer: 1258.4465723415 as a fraction is 59147/47


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How to convert 1258.4465723415 as a fraction?

Solution:1258.4465723415 as a fraction is 59147/47

Step 1:

The first step to converting 1258.4465723415 to a fraction is to re-write 1258.4465723415 in the form p/q where p and q are both positive integers. To start with, 1258.4465723415 can be written as simply 1258.4465723415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1258.4465723415, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1258.4465723415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1258.4465723415/1 each by 10000000000:

12584465723415/10 / 10000000000/10 = 12584465723415 / 10000000000

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 1258.4465723415 as a fraction:

59147/47 / 1

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