How to convert 326.40421824375 as a fraction

Question: What is 326.40421824375 as a fraction?


Answer: 326.40421824375 as a fraction is 15341/47


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How to convert 326.40421824375 as a fraction?

Solution:326.40421824375 as a fraction is 15341/47

Step 1:

The first step to converting 326.40421824375 to a fraction is to re-write 326.40421824375 in the form p/q where p and q are both positive integers. To start with, 326.40421824375 can be written as simply 326.40421824375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 326.40421824375, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 326.40421824375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 326.40421824375/1 each by 100000000000:

32640421824375/10 / 100000000000/10 = 32640421824375 / 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 326.40421824375 as a fraction:

15341/47 / 1

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