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Math Tutor's Solution: 30.9768 as a fraction is 38721/1250
Methods
Converting 30.9768 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 30.9768 to a fraction is to re-write 30.9768 in the form p/q where p and q are both positive integers. To start with, 30.9768 can be written as simply 30.9768/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 30.9768, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 30.9768/1 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 30.9768/1 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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