How to convert 14.31744 as a fraction

Question: What is 14.31744 as a fraction?


Answer: 14.31744 as a fraction is 10509/734


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How to convert 14.31744 as a fraction?

Solution:14.31744 as a fraction is 10509/734

Step 1:

The first step to converting 14.31744 to a fraction is to re-write 14.31744 in the form p/q where p and q are both positive integers. To start with, 14.31744 can be written as simply 14.31744/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 14.31744, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 14.31744/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 14.31744/1 each by 100000:

1431744/10 / 100000/10 = 1431744 / 100000

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 14.31744 as a fraction:

10509/734 / 1

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