How to convert 359.14640625026 as a fraction

Question: What is 359.14640625026 as a fraction?


Answer: 359.14640625026 as a fraction is 14725/41


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How to convert 359.14640625026 as a fraction?

Solution:359.14640625026 as a fraction is 14725/41

Step 1:

The first step to converting 359.14640625026 to a fraction is to re-write 359.14640625026 in the form p/q where p and q are both positive integers. To start with, 359.14640625026 can be written as simply 359.14640625026/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 359.14640625026, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 359.14640625026/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 359.14640625026/1 each by 100000000000:

35914640625026/10 / 100000000000/10 = 35914640625026 / 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 359.14640625026 as a fraction:

14725/41 / 1

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