How to convert 153.19742187498 as a fraction

Question: What is 153.19742187498 as a fraction?


Answer: 153.19742187498 as a fraction is 11643/76


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How to convert 153.19742187498 as a fraction?

Solution:153.19742187498 as a fraction is 11643/76

Step 1:

The first step to converting 153.19742187498 to a fraction is to re-write 153.19742187498 in the form p/q where p and q are both positive integers. To start with, 153.19742187498 can be written as simply 153.19742187498/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 153.19742187498, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 153.19742187498/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 153.19742187498/1 each by 100000000000:

15319742187498/10 / 100000000000/10 = 15319742187498 / 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 153.19742187498 as a fraction:

11643/76 / 1

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