How to convert 842.47749999145 as a fraction

Question: What is 842.47749999145 as a fraction?


Answer: 842.47749999145 as a fraction is 19377/23


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How to convert 842.47749999145 as a fraction?

Solution:842.47749999145 as a fraction is 19377/23

Step 1:

The first step to converting 842.47749999145 to a fraction is to re-write 842.47749999145 in the form p/q where p and q are both positive integers. To start with, 842.47749999145 can be written as simply 842.47749999145/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 842.47749999145, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 842.47749999145/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 842.47749999145/1 each by 100000000000:

84247749999145/10 / 100000000000/10 = 84247749999145 / 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 842.47749999145 as a fraction:

19377/23 / 1

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