How to convert 113.85420678574 as a fraction

Question: What is 113.85420678574 as a fraction?


Answer: 113.85420678574 as a fraction is 5465/48


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How to convert 113.85420678574 as a fraction?

Solution:113.85420678574 as a fraction is 5465/48

Step 1:

The first step to converting 113.85420678574 to a fraction is to re-write 113.85420678574 in the form p/q where p and q are both positive integers. To start with, 113.85420678574 can be written as simply 113.85420678574/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 113.85420678574, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 113.85420678574/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 113.85420678574/1 each by 100000000000:

11385420678574/10 / 100000000000/10 = 11385420678574 / 100000000000

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 113.85420678574 as a fraction:

5465/48 / 1

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