How to convert 5335.407 as a fraction

Question: What is 5335.407 as a fraction?


Answer: 5335.407 as a fraction is 144056/27


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How to convert 5335.407 as a fraction?

Solution:5335.407 as a fraction is 144056/27

Step 1:

The first step to converting 5335.407 to a fraction is to re-write 5335.407 in the form p/q where p and q are both positive integers. To start with, 5335.407 can be written as simply 5335.407/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5335.407, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5335.407/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5335.407/1 each by 1000:

5335407/10 / 1000/10 = 5335407 / 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 5335.407 as a fraction:

144056/27 / 1

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