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andreyandreev [35.5K]
2 years ago
15

Emma is making a recipe that needs 2 1/2 cups of sugar. Each

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

  • The number of scoops of sugar needed is <u>10 scoops</u>.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

  • \displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}

Which gives;

  • \displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}}

\displaystyle  2 \frac{1}{2} = \frac{5}{2}

\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } =  \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10

Therefore;

\displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}} = 10 \, scoops

The number of scoops she needs for the entire recipe is <u>10 scoops</u>

Learn more about division by fractions here:

brainly.com/question/20591763

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