How to convert 896.78459208522 as a fraction

Question: What is 896.78459208522 as a fraction?


Answer: 896.78459208522 as a fraction is 45736/51


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How to convert 896.78459208522 as a fraction?

Solution:896.78459208522 as a fraction is 45736/51

Step 1:

The first step to converting 896.78459208522 to a fraction is to re-write 896.78459208522 in the form p/q where p and q are both positive integers. To start with, 896.78459208522 can be written as simply 896.78459208522/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 896.78459208522, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 896.78459208522/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 896.78459208522/1 each by 100000000000:

89678459208522/10 / 100000000000/10 = 89678459208522 / 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 896.78459208522 as a fraction:

45736/51 / 1

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