Middle School

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------------------------------------------------ You begin with \(\frac{1}{2}\) scoop of ice cream. You ask the vendor for \(\frac{2}{7}\) more scoops of ice cream. Then, you eat \(\frac{5}{8}\) scoops. How many scoops of ice cream are left on your cone?

Answer :

First, let’s get our names straight. We’re dealing with three different size pieces: halves, sevenths, and eighths. The least common denominator (size) between these three is 7 • 8 = 56, and converting our fractions over to this new name gets us

1/2 = 28/56
2/7 = 14/56
5/8 = 35/56

We start with 28/56, and adding 16/56 gets us 44/56. Then, we eat 35/56 of the scoops, giving us 44/56 - 35/56 = 9/56 of our original scoops by the end.

Answer:

9/56

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{2 }{7} - \frac{5}{8 } = \frac{9}{56} [/tex]

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