How to convert 85.643977478208 as a fraction

Question: What is 85.643977478208 as a fraction?


Answer: 85.643977478208 as a fraction is 11305/132


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How to convert 85.643977478208 as a fraction?

Solution:85.643977478208 as a fraction is 11305/132

Step 1:

The first step to converting 85.643977478208 to a fraction is to re-write 85.643977478208 in the form p/q where p and q are both positive integers. To start with, 85.643977478208 can be written as simply 85.643977478208/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 85.643977478208, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.643977478208/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 85.643977478208/1 each by 1000000000000:

85643977478208/10 / 1000000000000/10 = 85643977478208 / 1000000000000

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 85.643977478208 as a fraction:

11305/132 / 1

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