How to convert 238.12522314839 as a fraction

Question: What is 238.12522314839 as a fraction?


Answer: 238.12522314839 as a fraction is 1905/8


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How to convert 238.12522314839 as a fraction?

Solution:238.12522314839 as a fraction is 1905/8

Step 1:

The first step to converting 238.12522314839 to a fraction is to re-write 238.12522314839 in the form p/q where p and q are both positive integers. To start with, 238.12522314839 can be written as simply 238.12522314839/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 238.12522314839, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 238.12522314839/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 238.12522314839/1 each by 100000000000:

23812522314839/10 / 100000000000/10 = 23812522314839 / 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 238.12522314839 as a fraction:

1905/8 / 1

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