How to convert 417.743 as a fraction

Question: What is 417.743 as a fraction?


Answer: 417.743 as a fraction is 14621/35


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How to convert 417.743 as a fraction?

Solution:417.743 as a fraction is 14621/35

Step 1:

The first step to converting 417.743 to a fraction is to re-write 417.743 in the form p/q where p and q are both positive integers. To start with, 417.743 can be written as simply 417.743/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 417.743, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 417.743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 417.743/1 each by 1000:

417743/10 / 1000/10 = 417743 / 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 417.743 as a fraction:

14621/35 / 1

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