How to convert 380.53418501398 as a fraction

Question: What is 380.53418501398 as a fraction?


Answer: 380.53418501398 as a fraction is 27779/73


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How to convert 380.53418501398 as a fraction?

Solution:380.53418501398 as a fraction is 27779/73

Step 1:

The first step to converting 380.53418501398 to a fraction is to re-write 380.53418501398 in the form p/q where p and q are both positive integers. To start with, 380.53418501398 can be written as simply 380.53418501398/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 380.53418501398, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 380.53418501398/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 380.53418501398/1 each by 100000000000:

38053418501398/10 / 100000000000/10 = 38053418501398 / 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 380.53418501398 as a fraction:

27779/73 / 1

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