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Math Tutor's Solution: 10.6705 as a fraction is 21341/2000
Methods
Converting 10.6705 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 10.6705 to a fraction is to re-write 10.6705 in the form p/q where p and q are both positive integers. To start with, 10.6705 can be written as simply 10.6705/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 10.6705, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 10.6705/1 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 10.6705/1 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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