How to convert 980.78284845474 as a fraction

Question: What is 980.78284845474 as a fraction?


Answer: 980.78284845474 as a fraction is 22558/23


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How to convert 980.78284845474 as a fraction?

Solution:980.78284845474 as a fraction is 22558/23

Step 1:

The first step to converting 980.78284845474 to a fraction is to re-write 980.78284845474 in the form p/q where p and q are both positive integers. To start with, 980.78284845474 can be written as simply 980.78284845474/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 980.78284845474, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 980.78284845474/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 980.78284845474/1 each by 100000000000:

98078284845474/10 / 100000000000/10 = 98078284845474 / 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 980.78284845474 as a fraction:

22558/23 / 1

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