How to convert 428.9771428583 as a fraction

Question: What is 428.9771428583 as a fraction?


Answer: 428.9771428583 as a fraction is 18446/43


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How to convert 428.9771428583 as a fraction?

Solution:428.9771428583 as a fraction is 18446/43

Step 1:

The first step to converting 428.9771428583 to a fraction is to re-write 428.9771428583 in the form p/q where p and q are both positive integers. To start with, 428.9771428583 can be written as simply 428.9771428583/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 428.9771428583, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 428.9771428583/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 428.9771428583/1 each by 10000000000:

4289771428583/10 / 10000000000/10 = 4289771428583 / 10000000000

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 428.9771428583 as a fraction:

18446/43 / 1

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