How to convert 153.2894924334 as a fraction

Question: What is 153.2894924334 as a fraction?


Answer: 153.2894924334 as a fraction is 5825/38


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How to convert 153.2894924334 as a fraction?

Solution:153.2894924334 as a fraction is 5825/38

Step 1:

The first step to converting 153.2894924334 to a fraction is to re-write 153.2894924334 in the form p/q where p and q are both positive integers. To start with, 153.2894924334 can be written as simply 153.2894924334/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 153.2894924334, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 153.2894924334/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 153.2894924334/1 each by 10000000000:

1532894924334/10 / 10000000000/10 = 1532894924334 / 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 153.2894924334 as a fraction:

5825/38 / 1

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