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schepotkina [342]
3 years ago
8

Choose the expression that shows the difference between x and y.

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

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Answer: 6\frac{1}{12}\ gallons

Step-by-step explanation:

We can make the conversion from mixed numbers to improper fractions:

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  • Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
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Then:

2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12

Then:

\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons

To convert this improper fraction to a mixed number:

  • When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
  • The remainder obtained is 1. This will be the numerator of the fraction.
  • The denominator does not change.

Then:

\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons

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