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
[tex] \frac{.286}{1} [/tex] 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 [tex] \frac{286}{1000} [/tex]
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
[tex] \frac{286}{1000} [/tex] ÷ [tex] \frac{2}{2} [/tex] = [tex] \frac{143}{500} [/tex]
Your answer is [tex] \frac{143}{500} [/tex]
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 [tex] \frac{7}{25} [/tex] answer
[tex] \frac{143}{500} [/tex] ≈ [tex] \frac{7}{25} [/tex] Both of these answers are correct but it depends on how narrow and accurate you want it.
