How to convert 742.24769801643 as a fraction

Question: What is 742.24769801643 as a fraction?


Answer: 742.24769801643 as a fraction is 77936/105


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How to convert 742.24769801643 as a fraction?

Solution:742.24769801643 as a fraction is 77936/105

Step 1:

The first step to converting 742.24769801643 to a fraction is to re-write 742.24769801643 in the form p/q where p and q are both positive integers. To start with, 742.24769801643 can be written as simply 742.24769801643/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 742.24769801643, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 742.24769801643/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 742.24769801643/1 each by 100000000000:

74224769801643/10 / 100000000000/10 = 74224769801643 / 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 742.24769801643 as a fraction:

77936/105 / 1

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