How to convert 7.7749928 as a fraction

Question: What is 7.7749928 as a fraction?


Answer: 7.7749928 as a fraction is 311/40


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How to convert 7.7749928 as a fraction?

Solution:7.7749928 as a fraction is 311/40

Step 1:

The first step to converting 7.7749928 to a fraction is to re-write 7.7749928 in the form p/q where p and q are both positive integers. To start with, 7.7749928 can be written as simply 7.7749928/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 7.7749928, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.7749928/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7.7749928/1 each by 10000000:

77749928/10 / 10000000/10 = 77749928 / 10000000

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 7.7749928 as a fraction:

311/40 / 1

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