How to convert 99.78258894317 as a fraction

Question: What is 99.78258894317 as a fraction?


Answer: 99.78258894317 as a fraction is 2295/23


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How to convert 99.78258894317 as a fraction?

Solution:99.78258894317 as a fraction is 2295/23

Step 1:

The first step to converting 99.78258894317 to a fraction is to re-write 99.78258894317 in the form p/q where p and q are both positive integers. To start with, 99.78258894317 can be written as simply 99.78258894317/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 99.78258894317, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 99.78258894317/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 99.78258894317/1 each by 100000000000:

9978258894317/10 / 100000000000/10 = 9978258894317 / 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 99.78258894317 as a fraction:

2295/23 / 1

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