How to convert 511.2381 as a fraction

Question: What is 511.2381 as a fraction?


Answer: 511.2381 as a fraction is 10736/21


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How to convert 511.2381 as a fraction?

Solution:511.2381 as a fraction is 10736/21

Step 1:

The first step to converting 511.2381 to a fraction is to re-write 511.2381 in the form p/q where p and q are both positive integers. To start with, 511.2381 can be written as simply 511.2381/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 511.2381, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 511.2381/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 511.2381/1 each by 10000:

5112381/10 / 10000/10 = 5112381 / 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 511.2381 as a fraction:

10736/21 / 1

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