Answer :

Geekhawk
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.


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