How to convert 964.745142365 as a fraction

Question: What is 964.745142365 as a fraction?


Answer: 964.745142365 as a fraction is 49202/51


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How to convert 964.745142365 as a fraction?

Solution:964.745142365 as a fraction is 49202/51

Step 1:

The first step to converting 964.745142365 to a fraction is to re-write 964.745142365 in the form p/q where p and q are both positive integers. To start with, 964.745142365 can be written as simply 964.745142365/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 964.745142365, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 964.745142365/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 964.745142365/1 each by 1000000000:

964745142365/10 / 1000000000/10 = 964745142365 / 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 964.745142365 as a fraction:

49202/51 / 1

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