How to convert 152.53820577893 as a fraction

Question: What is 152.53820577893 as a fraction?


Answer: 152.53820577893 as a fraction is 43931/288


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How to convert 152.53820577893 as a fraction?

Solution:152.53820577893 as a fraction is 43931/288

Step 1:

The first step to converting 152.53820577893 to a fraction is to re-write 152.53820577893 in the form p/q where p and q are both positive integers. To start with, 152.53820577893 can be written as simply 152.53820577893/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 152.53820577893, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 152.53820577893/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 152.53820577893/1 each by 100000000000:

15253820577893/10 / 100000000000/10 = 15253820577893 / 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 152.53820577893 as a fraction:

43931/288 / 1

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