How to convert 958.2894 as a fraction

Question: What is 958.2894 as a fraction?


Answer: 958.2894 as a fraction is 36415/38


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How to convert 958.2894 as a fraction?

Solution:958.2894 as a fraction is 36415/38

Step 1:

The first step to converting 958.2894 to a fraction is to re-write 958.2894 in the form p/q where p and q are both positive integers. To start with, 958.2894 can be written as simply 958.2894/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 958.2894, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 958.2894/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 958.2894/1 each by 10000:

9582894/10 / 10000/10 = 9582894 / 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 958.2894 as a fraction:

36415/38 / 1

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