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julia-pushkina [17]
3 years ago
13

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime  to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two.  Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6  There must be something that works, but I can't come up with an example.

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Round 3:38 to the nearest ten
aev [14]

Answer:3

Step-by-step explanation:

Round 3.38 to the nearest ten

Rounding up to the nearest 10, we look at the digits on the left hand side of the decimal point. If the number on the right of the decimal point is less than 5, we ignore it.if it is greater than 5, we add one to the last digit on the right hand side.

In this case, the first digit on the left hand side is less than 5, so we ignore it. Rounding up to the nearest ten,the 0.38 is ignored.

Therefore, it becomes 3.0 = 3

To the nearest ten

7 0
3 years ago
Harrison went out to buy coffee for his classmates. There are 23 students in his class, counting Harrison himself. Some wanted m
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Step-by-step explanation:

Let's represent the number of mochas bought with the variable M, and the number of lattes bought with the variable L.

Since there are 23 students, the total number of mochas and lattes bought must be 23. This can be represented with the following equation:

M + L = 23

We can also set up another equation based on the total amount spent on the coffe:

4.30M + 3.50L = 87.70

If we rearrange the first equation, we can solve for M:

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If we substitute this into the second equation, we can solve for L:

4.30(23 - L) + 3.50L = 87.70

98.9 - 4.3L + 3.5L = 87.7

98.9 - 0.8L = 87.7

0.8L = 11.2

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Subtituting this back into the original equation, we can solve for M:

M + L = 23

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M = 9

Therefore, 9 mochas and 14 lattes were bought.

3 0
3 years ago
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Step-by-step explanation:

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