Nadine made 16 cups of punch for a class party. One serving is 1/2cup. How many servings of punch did Nadine make?
2 answers:
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In short, if the denominator is a decimal or a fraction and you have an integer in the numerator, the numerator gets blown up.
so if you divide by 1/2, the numerator blows up to twice as large, if you divide by 1/5, to five times as large, if you divide by 1/3... well, let's see,
why is that? well, you're dividing, and so is saying "how many times 1/3 goes into 2"?
well, 1/3 + 1/3 + 1/3 = 3/3 or 1, so in 1 whole, the fraction goes there 3 times, so in 2 wholes, it'll be 6 times.
so if you divide by 1/2, the numerator blows up to twice as large, if you divide by 1/5, to five times as large, if you divide by 1/3... well, let's see,
why is that? well, you're dividing, and so is saying "how many times 1/3 goes into 2"?
well, 1/3 + 1/3 + 1/3 = 3/3 or 1, so in 1 whole, the fraction goes there 3 times, so in 2 wholes, it'll be 6 times.