How to convert 463.78221353222 as a fraction

Question: What is 463.78221353222 as a fraction?


Answer: 463.78221353222 as a fraction is 10667/23


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How to convert 463.78221353222 as a fraction?

Solution:463.78221353222 as a fraction is 10667/23

Step 1:

The first step to converting 463.78221353222 to a fraction is to re-write 463.78221353222 in the form p/q where p and q are both positive integers. To start with, 463.78221353222 can be written as simply 463.78221353222/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 463.78221353222, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 463.78221353222/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 463.78221353222/1 each by 100000000000:

46378221353222/10 / 100000000000/10 = 46378221353222 / 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 463.78221353222 as a fraction:

10667/23 / 1

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