How to convert 735.3125 as a fraction

Question: What is 735.3125 as a fraction?


Answer: 735.3125 as a fraction is 11765/16


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How to convert 735.3125 as a fraction?

Solution:735.3125 as a fraction is 11765/16

Step 1:

The first step to converting 735.3125 to a fraction is to re-write 735.3125 in the form p/q where p and q are both positive integers. To start with, 735.3125 can be written as simply 735.3125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 735.3125, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 735.3125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 735.3125/1 each by 10000:

7353125/10 / 10000/10 = 7353125 / 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 735.3125 as a fraction:

11765/16 / 1

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