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Math Tutor's Solution: 82.414 as a fraction is 41207/500
Methods
Converting 82.414 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 82.414 to a fraction is to re-write 82.414 in the form p/q where p and q both are positive integers. To start with, 82.414 can be written as simply 82.414/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 82.414, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 82.414/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 82.414/1 each by 1000:
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
Math Tutor Suggests: Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples from our math tutors, like the ones below:
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