Answer:
9 servings
Step-by-step explanation:
(5.4 c)/(0.6c/serving) = 9 serving
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This problem is worked easily in its decimal form, especially if you know your times tables: 6×9 = 54.
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If you want to work it using fractions, you can get to the same place.
5 4/10 = 54/10
Then ...
... (54/10 cups) = (6/10 cups/serving) × (number of servings)
Dividing by the coefficient of (number of servings), we have
... (54/10 cups)/(6/10 cups/serving) = (number of servings)
... (54/10)/(6/10) servings = 54/6 servings = 9 servings = (number of servings)
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Dividing Fractions
You may recall there are a couple of ways to divide fractions:
1. "Invert and multiply"
... (a/b) / (c/d) = (a/b) × (d/c) = (ad)/(bc)
2. Drop the identical denominator (used in this problem)
... (a/b) / (c/b) = a/c . . . . . . both fractions have denominator 'b'
Please note that the first version gives the same result when the denominators are the same: (a/b) / (c/b) = (a/b) × (b/c) = (ab)/(cb) = a/c.
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You may note that the units fraction is divided the same way.
[tex]\dfrac{cups}{\left(\dfrac{cups}{serving}\right)}=cups\times\dfrac{serving}{cups}=serving\,\dfrac{cups}{cups}=servings[/tex]
