How to convert 5.47135689473 as a fraction

Question: What is 5.47135689473 as a fraction?


Answer: 5.47135689473 as a fraction is 2101/384


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How to convert 5.47135689473 as a fraction?

Solution:5.47135689473 as a fraction is 2101/384

Step 1:

The first step to converting 5.47135689473 to a fraction is to re-write 5.47135689473 in the form p/q where p and q are both positive integers. To start with, 5.47135689473 can be written as simply 5.47135689473/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.47135689473, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.47135689473/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.47135689473/1 each by 100000000000:

547135689473/10 / 100000000000/10 = 547135689473 / 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 5.47135689473 as a fraction:

2101/384 / 1

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