How to convert 213.503164062 as a fraction

Question: What is 213.503164062 as a fraction?


Answer: 213.503164062 as a fraction is 33520/157


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How to convert 213.503164062 as a fraction?

Solution:213.503164062 as a fraction is 33520/157

Step 1:

The first step to converting 213.503164062 to a fraction is to re-write 213.503164062 in the form p/q where p and q are both positive integers. To start with, 213.503164062 can be written as simply 213.503164062/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 213.503164062, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 213.503164062/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 213.503164062/1 each by 1000000000:

213503164062/10 / 1000000000/10 = 213503164062 / 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 213.503164062 as a fraction:

33520/157 / 1

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