How to convert 475.45828845646 as a fraction

Question: What is 475.45828845646 as a fraction?


Answer: 475.45828845646 as a fraction is 11411/24


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How to convert 475.45828845646 as a fraction?

Solution:475.45828845646 as a fraction is 11411/24

Step 1:

The first step to converting 475.45828845646 to a fraction is to re-write 475.45828845646 in the form p/q where p and q are both positive integers. To start with, 475.45828845646 can be written as simply 475.45828845646/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 475.45828845646, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 475.45828845646/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 475.45828845646/1 each by 100000000000:

47545828845646/10 / 100000000000/10 = 47545828845646 / 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 475.45828845646 as a fraction:

11411/24 / 1

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