How to convert 871.4894 as a fraction

Question: What is 871.4894 as a fraction?


Answer: 871.4894 as a fraction is 40960/47


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How to convert 871.4894 as a fraction?

Solution:871.4894 as a fraction is 40960/47

Step 1:

The first step to converting 871.4894 to a fraction is to re-write 871.4894 in the form p/q where p and q are both positive integers. To start with, 871.4894 can be written as simply 871.4894/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 871.4894, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 871.4894/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 871.4894/1 each by 10000:

8714894/10 / 10000/10 = 8714894 / 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 871.4894 as a fraction:

40960/47 / 1

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