Gayle is making a cake but only has 1/2 cup of oil in her pantry. The chocolate cake needs 2/3 cup of oil and the vanilla cake needs 2/6 cup of oil. Which cake is she able to make? Explain why using
numbers, pictures, and/or words.

Respuesta :

Answer:

vanilla cake

Step-by-step explanation:

Gayle can only make the cake which requires less oil than what she has.

We know that:

  • Gayle has 1/2 cup of oil
  • the chocolate cake requires 2/3 cup of oil
  • the vanilla cake requires 2/6 cup of oil

We can compare these amounts by putting them over a common denominator:

    →  [tex]\dfrac{1}{2} \times\dfrac{3}{3} = \dfrac{3}{6}[/tex]   = amount Gayle has

    →  [tex]\dfrac{2}{3}\cdot \dfrac{2}{2} = \dfrac46[/tex]     = amount chocolate cake requires

    → [tex]\dfrac{2}{6}[/tex]                   = amount vanilla cake requires

Now that all three fractions have the same denominator, we can compare their numerators.

We can see that the chocolate cake requires more oil than she has. Therefore, she can't make that cake.

But, the vanilla cake requires less oil than she has. In other words, Gayle has more oil than the vanilla cake requires. Therefore, she can make that cake.

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