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Math Tutor's Solution: 39.1965 as a fraction is 78393/2000
Methods
Converting 39.1965 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 39.1965 to a fraction is to re-write 39.1965 in the form p/q where p and q are both positive integers. To start with, 39.1965 can be written as simply 39.1965/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 39.1965, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 39.1965/1 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 39.1965/1 each by 10000:
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:
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