a recipe calls for 2 2/3 cups of flour. terell wants to make 3/4 of the recipe. how much flour should he use?a: 1/2 cupsb: 2/3 cupsc: 1 1/2 cupsd: 2 cups

Respuesta :

2 2/3 × 3/4
= 8/3 × 3/4
= 24/12
= 2/1
Answer: D (2 cups)
frika

If a recipe calls for [tex]2\dfrac{2}{3}[/tex] cups of flour and Terell wants to make [tex]\dfrac{3}{4}[/tex] of the recipe, then in order to determine how much flour he should use, he has to multiply [tex]2\dfrac{2}{3}[/tex] by [tex]\dfrac{3}{4}[/tex].

Note that

[tex]2\dfrac{2}{3}=\dfrac{2\cdot 3+2}{3}=\dfrac{8}{3}.[/tex]

Therefore,

[tex]2\dfrac{2}{3}\cdot \dfrac{3}{4}=\dfrac{8}{3}\cdot \dfrac{3}{4}=\dfrac{8\cdot 3}{3\cdot 4}=2[/tex] cups of flour.

Answer: 2 cups of flour - choice D

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