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AleksAgata [21]
3 years ago
8

Adding and subtracting mixed numbers with unlike denominators

Mathematics
2 answers:
Agata [3.3K]3 years ago
7 0

Answer:

Step-by-step explanation: You need to find a the lowest number that the denominators can be timed by. In you're case. You can just times 5 by 2 = 10

So that both the denominators are 10. And the denominator that was once 5. The numerator of that fraction also needs to be timed by 2.

So then you have 7 18/10 - 6 15/10

Then you can convert them to to proper fractions 8 8/10 - 7 5/10

Then you can take away the fractions so it's

8 8/10 - 7 5/10 = 1 3/10

marysya [2.9K]3 years ago
4 0
Convert both numbers into improper fractions by multiplying the whole number by the denominator and adding the numerator

44/5 - 75/10

then you make them have the same denominator (in this case it would be 10) - (44x2)/(5x2)

88/10 - 75/10

then you take away each number as you would normally (88-75)

13/10
and finally, convert
1 3/10
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Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate
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Answer:

Yes

Step-by-step explanation:

Given that Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate, produces y widgets every 5 minutes.

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8 0
3 years ago
At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0
3 years ago
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