How to convert 1139.9947265624 as a fraction

Question: What is 1139.9947265624 as a fraction?


Answer: 1139.9947265624 as a fraction is 215459/189


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How to convert 1139.9947265624 as a fraction?

Solution:1139.9947265624 as a fraction is 215459/189

Step 1:

The first step to converting 1139.9947265624 to a fraction is to re-write 1139.9947265624 in the form p/q where p and q are both positive integers. To start with, 1139.9947265624 can be written as simply 1139.9947265624/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1139.9947265624, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1139.9947265624/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1139.9947265624/1 each by 10000000000:

11399947265624/10 / 10000000000/10 = 11399947265624 / 10000000000

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 1139.9947265624 as a fraction:

215459/189 / 1

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