How to convert 45.21767415274 as a fraction

Question: What is 45.21767415274 as a fraction?


Answer: 45.21767415274 as a fraction is 6647/147


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How to convert 45.21767415274 as a fraction?

Solution:45.21767415274 as a fraction is 6647/147

Step 1:

The first step to converting 45.21767415274 to a fraction is to re-write 45.21767415274 in the form p/q where p and q are both positive integers. To start with, 45.21767415274 can be written as simply 45.21767415274/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 45.21767415274, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 45.21767415274/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 45.21767415274/1 each by 100000000000:

4521767415274/10 / 100000000000/10 = 4521767415274 / 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 45.21767415274 as a fraction:

6647/147 / 1

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