How to convert 85.829545 as a fraction

Question: What is 85.829545 as a fraction?


Answer: 85.829545 as a fraction is 7553/88


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How to convert 85.829545 as a fraction?

Solution:85.829545 as a fraction is 7553/88

Step 1:

The first step to converting 85.829545 to a fraction is to re-write 85.829545 in the form p/q where p and q are both positive integers. To start with, 85.829545 can be written as simply 85.829545/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.829545, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.829545/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.829545/1 each by 1000000:

85829545/10 / 1000000/10 = 85829545 / 1000000

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 85.829545 as a fraction:

7553/88 / 1

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