How to convert 64.285156283752 as a fraction

Question: What is 64.285156283752 as a fraction?


Answer: 64.285156283752 as a fraction is 16457/256


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How to convert 64.285156283752 as a fraction?

Solution:64.285156283752 as a fraction is 16457/256

Step 1:

The first step to converting 64.285156283752 to a fraction is to re-write 64.285156283752 in the form p/q where p and q are both positive integers. To start with, 64.285156283752 can be written as simply 64.285156283752/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 64.285156283752, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 64.285156283752/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 64.285156283752/1 each by 1000000000000:

64285156283752/10 / 1000000000000/10 = 64285156283752 / 1000000000000

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 64.285156283752 as a fraction:

16457/256 / 1

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