How to convert 1498.7743 as a fraction

Question: What is 1498.7743 as a fraction?


Answer: 1498.7743 as a fraction is 46462/31


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How to convert 1498.7743 as a fraction?

Solution:1498.7743 as a fraction is 46462/31

Step 1:

The first step to converting 1498.7743 to a fraction is to re-write 1498.7743 in the form p/q where p and q are both positive integers. To start with, 1498.7743 can be written as simply 1498.7743/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1498.7743, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1498.7743/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1498.7743/1 each by 10000:

14987743/10 / 10000/10 = 14987743 / 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 1498.7743 as a fraction:

46462/31 / 1

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