Which fraction is equivalent to StartFraction 2 Over 6 EndFraction?StartFraction 3 Over 7 EndFraction, because StartFraction

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

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This Post Has 4 Comments

  1. Question:

    Which fraction is equivalent to [tex]\frac{2}{6}[/tex]?

    - [tex]\frac{3}{7}[/tex] because [tex]\frac{2}{6}= \frac{2 + 1}{6 + 1}[/tex]

    - [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

    - [tex]\frac{3}{12}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

    - [tex]\frac{3}{8}[/tex] because [tex]\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}[/tex]

    - [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

    Step-by-step explanation:

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

    The equivalent of [tex]\frac{2}{6}[/tex] is as explained in the selected option;

    First, divide numerator and denominator by 2

    [tex]\frac{2/2}{6/2}[/tex]

    Then simplify

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

    [tex]\frac{2/2}{6/2} = \frac{1}{3}[/tex]

    Multiply numerator and denominator by 3

    [tex]\frac{1*3}{3*3} = \frac{3}{9}[/tex]

    Hence, [tex]\frac{2}{6}[/tex] is equivalent to [tex]\frac{3}{9}[/tex]

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