Question

Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction

Answer 1

B

Explanation:

StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction

Answer 2

Question:

Which fraction is equivalent to
`(2)/(6)`?

-
`(3)/(7)` because
`(2)/(6)= (2 + 1)/(6 + 1)`

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`(3)/(9)` because
`(2)/(6)= (1)/(3)` and
`(1)/(3) = (3)/(9)`

-
`(3)/(12)` because
`(2)/(6)= (1)/(3)` and
`(1)/(3) = (3)/(9)`

-
`(3)/(8)` because
`(2)/(6)= (1)/(2) = (2+1)/(6+2) = (3)/(8)`

Answer:

-
`(3)/(9)` because
`(2)/(6)= (1)/(3)` and
`(1)/(3) = (3)/(9)`

Explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of
`(2)/(6)` is as explained in the selected option;

First, divide numerator and denominator by 2

`(2/2)/(6/2)`

Then simplify

2/2 = 1 and 6/2 = 3; So;

`(2/2)/(6/2) = (1)/(3)`

Multiply numerator and denominator by 3

`(1*3)/(3*3) = (3)/(9)`

Hence,
`(2)/(6)` is equivalent to
`(3)/(9)`