How to convert 829.78434706974 as a fraction

Question: What is 829.78434706974 as a fraction?


Answer: 829.78434706974 as a fraction is 42319/51


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How to convert 829.78434706974 as a fraction?

Solution:829.78434706974 as a fraction is 42319/51

Step 1:

The first step to converting 829.78434706974 to a fraction is to re-write 829.78434706974 in the form p/q where p and q are both positive integers. To start with, 829.78434706974 can be written as simply 829.78434706974/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 829.78434706974, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 829.78434706974/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 829.78434706974/1 each by 100000000000:

82978434706974/10 / 100000000000/10 = 82978434706974 / 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 829.78434706974 as a fraction:

42319/51 / 1

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