First, you divide 2 by 7
2÷7≈.286 [or .28 if you were less detailed but we will be using .286]
.286 is a decimal. Now you need to convert it to a fraction
\(\frac{.286}{1}\) is not a real fraction because fractions cannot have decimals
So to turn the decimal into a fraction, move the decimal point to the right three times so that it is a number
.286⇒286.
But what you do to the numerator (top), you must do to the denominator
So you move the decimal point for 1, three times to the right also
1.⇒1000
So now it is \(\frac{286}{1000}\)
Now you need to reduce it. To reduce, you must find a common factor for both the numerator and denominator
2 is a common factor
\(\frac{286}{1000}\) ÷ \(\frac{2}{2}\) = \(\frac{143}{500}\)
Your answer is \(\frac{143}{500}\)
If on the other hand you used the less detailed decimal .28, you would use the same basic process but will result in the less accurate \(\frac{7}{25}\) answer
\(\frac{143}{500}\) ≈ \(\frac{7}{25}\) Both of these answers are correct but it depends on how narrow and accurate you want it.
