How to convert 238.12124999975 as a fraction

Question: What is 238.12124999975 as a fraction?


Answer: 238.12124999975 as a fraction is 7858/33


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How to convert 238.12124999975 as a fraction?

Solution:238.12124999975 as a fraction is 7858/33

Step 1:

The first step to converting 238.12124999975 to a fraction is to re-write 238.12124999975 in the form p/q where p and q are both positive integers. To start with, 238.12124999975 can be written as simply 238.12124999975/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 238.12124999975, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 238.12124999975/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 238.12124999975/1 each by 100000000000:

23812124999975/10 / 100000000000/10 = 23812124999975 / 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 238.12124999975 as a fraction:

7858/33 / 1

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