How to convert 74.49218749924 as a fraction

Question: What is 74.49218749924 as a fraction?


Answer: 74.49218749924 as a fraction is 9535/128


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How to convert 74.49218749924 as a fraction?

Solution:74.49218749924 as a fraction is 9535/128

Step 1:

The first step to converting 74.49218749924 to a fraction is to re-write 74.49218749924 in the form p/q where p and q are both positive integers. To start with, 74.49218749924 can be written as simply 74.49218749924/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 74.49218749924, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 74.49218749924/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 74.49218749924/1 each by 100000000000:

7449218749924/10 / 100000000000/10 = 7449218749924 / 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 74.49218749924 as a fraction:

9535/128 / 1

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