How to convert 4.14421875019 as a fraction

Question: What is 4.14421875019 as a fraction?


Answer: 4.14421875019 as a fraction is 3046/735


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How to convert 4.14421875019 as a fraction?

Solution:4.14421875019 as a fraction is 3046/735

Step 1:

The first step to converting 4.14421875019 to a fraction is to re-write 4.14421875019 in the form p/q where p and q are both positive integers. To start with, 4.14421875019 can be written as simply 4.14421875019/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4.14421875019, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.14421875019/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4.14421875019/1 each by 100000000000:

414421875019/10 / 100000000000/10 = 414421875019 / 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 4.14421875019 as a fraction:

3046/735 / 1

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