How to convert 249.7365 as a fraction

Question: What is 249.7365 as a fraction?


Answer: 249.7365 as a fraction is 36961/148


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How to convert 249.7365 as a fraction?

Solution:249.7365 as a fraction is 36961/148

Step 1:

The first step to converting 249.7365 to a fraction is to re-write 249.7365 in the form p/q where p and q are both positive integers. To start with, 249.7365 can be written as simply 249.7365/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 249.7365, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 249.7365/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 249.7365/1 each by 10000:

2497365/10 / 10000/10 = 2497365 / 10000

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 249.7365 as a fraction:

36961/148 / 1

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