How to convert 467.14921874994 as a fraction

Question: What is 467.14921874994 as a fraction?


Answer: 467.14921874994 as a fraction is 21956/47


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How to convert 467.14921874994 as a fraction?

Solution:467.14921874994 as a fraction is 21956/47

Step 1:

The first step to converting 467.14921874994 to a fraction is to re-write 467.14921874994 in the form p/q where p and q are both positive integers. To start with, 467.14921874994 can be written as simply 467.14921874994/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 467.14921874994, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 467.14921874994/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 467.14921874994/1 each by 100000000000:

46714921874994/10 / 100000000000/10 = 46714921874994 / 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 467.14921874994 as a fraction:

21956/47 / 1

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