How to convert 90.21743804879 as a fraction

Question: What is 90.21743804879 as a fraction?


Answer: 90.21743804879 as a fraction is 2075/23


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How to convert 90.21743804879 as a fraction?

Solution:90.21743804879 as a fraction is 2075/23

Step 1:

The first step to converting 90.21743804879 to a fraction is to re-write 90.21743804879 in the form p/q where p and q are both positive integers. To start with, 90.21743804879 can be written as simply 90.21743804879/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 90.21743804879, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 90.21743804879/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 90.21743804879/1 each by 100000000000:

9021743804879/10 / 100000000000/10 = 9021743804879 / 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 90.21743804879 as a fraction:

2075/23 / 1

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