How to convert 4.07748 as a fraction

Question: What is 4.07748 as a fraction?


Answer: 4.07748 as a fraction is 1684/413


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How to convert 4.07748 as a fraction?

Solution:4.07748 as a fraction is 1684/413

Step 1:

The first step to converting 4.07748 to a fraction is to re-write 4.07748 in the form p/q where p and q are both positive integers. To start with, 4.07748 can be written as simply 4.07748/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4.07748, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.07748/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4.07748/1 each by 100000:

407748/10 / 100000/10 = 407748 / 100000

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 4.07748 as a fraction:

1684/413 / 1

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