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Math Tutor's Solution: 85.978 as a fraction is 42989/500
Methods
Converting 85.978 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 85.978 to a fraction is to re-write 85.978 in the form p/q where p and q are both positive integers. To start with, 85.978 can be written as simply 85.978/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 85.978, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 85.978/1 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 85.978/1 each by 1000:
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
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