Solution: 3.686 as a fraction is 1843/500
Methods
Converting 3.686 to a fraction, Step-by-Step
Step 1:
The first step to converting 3.686 to a fraction is to re-write 3.686 in the form p/q where p and q are both positive integers. To start with, 3.686 can be written as simply 3.686/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 3.686, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.686/1 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 3.686/1 each by 1000:
3.686
×
1000
1
×
1000
=
3686
1000
\frac{3.686 × 1000}{1 × 1000} = \frac{3686}{1000}
1 × 1000 3.686 × 1000 = 1000 3686
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:
3686
1000
=
1843
500
\frac{3686}{1000} = \frac{1843}{500}
1000 3686 = 500 1843
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