How to convert 59.4825 as a fraction

Question: What is 59.4825 as a fraction?


Answer: 59.4825 as a fraction is 6781/114


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How to convert 59.4825 as a fraction?

Solution:59.4825 as a fraction is 6781/114

Step 1:

The first step to converting 59.4825 to a fraction is to re-write 59.4825 in the form p/q where p and q are both positive integers. To start with, 59.4825 can be written as simply 59.4825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 59.4825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 59.4825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 59.4825/1 each by 10000:

594825/10 / 10000/10 = 594825 / 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 59.4825 as a fraction:

6781/114 / 1

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