How to convert 245.78144271037 as a fraction

Question: What is 245.78144271037 as a fraction?


Answer: 245.78144271037 as a fraction is 7865/32


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How to convert 245.78144271037 as a fraction?

Solution:245.78144271037 as a fraction is 7865/32

Step 1:

The first step to converting 245.78144271037 to a fraction is to re-write 245.78144271037 in the form p/q where p and q are both positive integers. To start with, 245.78144271037 can be written as simply 245.78144271037/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 245.78144271037, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 245.78144271037/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 245.78144271037/1 each by 100000000000:

24578144271037/10 / 100000000000/10 = 24578144271037 / 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 245.78144271037 as a fraction:

7865/32 / 1

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