How to convert 140.284861813 as a fraction

Question: What is 140.284861813 as a fraction?


Answer: 140.284861813 as a fraction is 23147/165


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How to convert 140.284861813 as a fraction?

Solution:140.284861813 as a fraction is 23147/165

Step 1:

The first step to converting 140.284861813 to a fraction is to re-write 140.284861813 in the form p/q where p and q are both positive integers. To start with, 140.284861813 can be written as simply 140.284861813/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 140.284861813, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 140.284861813/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 140.284861813/1 each by 1000000000:

140284861813/10 / 1000000000/10 = 140284861813 / 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 140.284861813 as a fraction:

23147/165 / 1

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