How to convert 397.42820387253 as a fraction

Question: What is 397.42820387253 as a fraction?


Answer: 397.42820387253 as a fraction is 2782/7


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How to convert 397.42820387253 as a fraction?

Solution:397.42820387253 as a fraction is 2782/7

Step 1:

The first step to converting 397.42820387253 to a fraction is to re-write 397.42820387253 in the form p/q where p and q are both positive integers. To start with, 397.42820387253 can be written as simply 397.42820387253/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 397.42820387253, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 397.42820387253/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 397.42820387253/1 each by 100000000000:

39742820387253/10 / 100000000000/10 = 39742820387253 / 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 397.42820387253 as a fraction:

2782/7 / 1

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