How to convert 265.409999748 as a fraction

Question: What is 265.409999748 as a fraction?


Answer: 265.409999748 as a fraction is 10351/39


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How to convert 265.409999748 as a fraction?

Solution:265.409999748 as a fraction is 10351/39

Step 1:

The first step to converting 265.409999748 to a fraction is to re-write 265.409999748 in the form p/q where p and q are both positive integers. To start with, 265.409999748 can be written as simply 265.409999748/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 265.409999748, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 265.409999748/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 265.409999748/1 each by 1000000000:

265409999748/10 / 1000000000/10 = 265409999748 / 1000000000

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 265.409999748 as a fraction:

10351/39 / 1

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