How to convert 895.78761698742 as a fraction

Question: What is 895.78761698742 as a fraction?


Answer: 895.78761698742 as a fraction is 29561/33


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How to convert 895.78761698742 as a fraction?

Solution:895.78761698742 as a fraction is 29561/33

Step 1:

The first step to converting 895.78761698742 to a fraction is to re-write 895.78761698742 in the form p/q where p and q are both positive integers. To start with, 895.78761698742 can be written as simply 895.78761698742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 895.78761698742, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 895.78761698742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 895.78761698742/1 each by 100000000000:

89578761698742/10 / 100000000000/10 = 89578761698742 / 100000000000

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 895.78761698742 as a fraction:

29561/33 / 1

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