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Math Tutor's Solution: 31.9782 as a fraction is 159891/5000
Methods
Converting 31.9782 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 31.9782 to a fraction is to re-write 31.9782 in the form p/q where p and q are both positive integers. To start with, 31.9782 can be written as simply 31.9782/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 31.9782, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 31.9782/1 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 31.9782/1 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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