How to convert 26.4380140625 as a fraction

Question: What is 26.4380140625 as a fraction?


Answer: 26.4380140625 as a fraction is 3199/121


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How to convert 26.4380140625 as a fraction?

Solution:26.4380140625 as a fraction is 3199/121

Step 1:

The first step to converting 26.4380140625 to a fraction is to re-write 26.4380140625 in the form p/q where p and q are both positive integers. To start with, 26.4380140625 can be written as simply 26.4380140625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 26.4380140625, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 26.4380140625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 26.4380140625/1 each by 10000000000:

264380140625/10 / 10000000000/10 = 264380140625 / 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 26.4380140625 as a fraction:

3199/121 / 1

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