How to convert 1261.214 as a fraction

Question: What is 1261.214 as a fraction?


Answer: 1261.214 as a fraction is 17657/14


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How to convert 1261.214 as a fraction?

Solution:1261.214 as a fraction is 17657/14

Step 1:

The first step to converting 1261.214 to a fraction is to re-write 1261.214 in the form p/q where p and q are both positive integers. To start with, 1261.214 can be written as simply 1261.214/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1261.214, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1261.214/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1261.214/1 each by 1000:

1261214/10 / 1000/10 = 1261214 / 1000

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 1261.214 as a fraction:

17657/14 / 1

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