How to convert 49.743769531523 as a fraction

Question: What is 49.743769531523 as a fraction?


Answer: 49.743769531523 as a fraction is 6019/121


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How to convert 49.743769531523 as a fraction?

Solution:49.743769531523 as a fraction is 6019/121

Step 1:

The first step to converting 49.743769531523 to a fraction is to re-write 49.743769531523 in the form p/q where p and q are both positive integers. To start with, 49.743769531523 can be written as simply 49.743769531523/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 49.743769531523, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 49.743769531523/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 49.743769531523/1 each by 1000000000000:

49743769531523/10 / 1000000000000/10 = 49743769531523 / 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 49.743769531523 as a fraction:

6019/121 / 1

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