How to convert 5.653153948097 as a fraction

Question: What is 5.653153948097 as a fraction?


Answer: 5.653153948097 as a fraction is 1255/222


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How to convert 5.653153948097 as a fraction?

Solution:5.653153948097 as a fraction is 1255/222

Step 1:

The first step to converting 5.653153948097 to a fraction is to re-write 5.653153948097 in the form p/q where p and q are both positive integers. To start with, 5.653153948097 can be written as simply 5.653153948097/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.653153948097, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.653153948097/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.653153948097/1 each by 1000000000000:

5653153948097/10 / 1000000000000/10 = 5653153948097 / 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 5.653153948097 as a fraction:

1255/222 / 1

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