How to convert 86.159999984 as a fraction

Question: What is 86.159999984 as a fraction?


Answer: 86.159999984 as a fraction is 2154/25


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How to convert 86.159999984 as a fraction?

Solution:86.159999984 as a fraction is 2154/25

Step 1:

The first step to converting 86.159999984 to a fraction is to re-write 86.159999984 in the form p/q where p and q are both positive integers. To start with, 86.159999984 can be written as simply 86.159999984/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 86.159999984, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 86.159999984/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 86.159999984/1 each by 1000000000:

86159999984/10 / 1000000000/10 = 86159999984 / 1000000000

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 86.159999984 as a fraction:

2154/25 / 1

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