How to convert 49.578782924975 as a fraction

Question: What is 49.578782924975 as a fraction?


Answer: 49.578782924975 as a fraction is 15419/311


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How to convert 49.578782924975 as a fraction?

Solution:49.578782924975 as a fraction is 15419/311

Step 1:

The first step to converting 49.578782924975 to a fraction is to re-write 49.578782924975 in the form p/q where p and q are both positive integers. To start with, 49.578782924975 can be written as simply 49.578782924975/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 49.578782924975, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 49.578782924975/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 49.578782924975/1 each by 1000000000000:

49578782924975/10 / 1000000000000/10 = 49578782924975 / 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 49.578782924975 as a fraction:

15419/311 / 1

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