How to convert 5745.465 as a fraction

Question: What is 5745.465 as a fraction?


Answer: 5745.465 as a fraction is 74691/13


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How to convert 5745.465 as a fraction?

Solution:5745.465 as a fraction is 74691/13

Step 1:

The first step to converting 5745.465 to a fraction is to re-write 5745.465 in the form p/q where p and q are both positive integers. To start with, 5745.465 can be written as simply 5745.465/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5745.465, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5745.465/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5745.465/1 each by 1000:

5745465/10 / 1000/10 = 5745465 / 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 5745.465 as a fraction:

74691/13 / 1

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