How to convert 870.5744 as a fraction

Question: What is 870.5744 as a fraction?


Answer: 870.5744 as a fraction is 40917/47


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How to convert 870.5744 as a fraction?

Solution:870.5744 as a fraction is 40917/47

Step 1:

The first step to converting 870.5744 to a fraction is to re-write 870.5744 in the form p/q where p and q are both positive integers. To start with, 870.5744 can be written as simply 870.5744/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 870.5744, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 870.5744/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 870.5744/1 each by 10000:

8705744/10 / 10000/10 = 8705744 / 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 870.5744 as a fraction:

40917/47 / 1

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