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2/3 of the doughnuts in a box have frosting. 1/2 of the doughnuts with frosting have sprinkles. What fraction of the doughnuts in the box have frosting and sprinkles?

Respuesta :

well if would be 1/2 of 2/3 which is 1/2 •2/3 =2/6=1/3
manuelatuozzo

Answer:

1/3

Step-by-step explanation:

We have a total amount T of doughnuts in a box.

2/3 of T have frosting.

We also know that 1/2 of the doughnuts with frosting have sprinkles, that is 1/2 of 2/3 of T.

We write that as [tex]\frac{1}{2} *(\frac{2}{3}*T) = (\frac{1}{2}*\frac{2}{3})*T = \frac{2}{6}*T = \frac{1}{3}*T[/tex]

Therefore, 1/3 of the total of doughnuts have frosting and sprinkles.

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