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Bad White [126]
3 years ago
8

A farmer can harvets 2 1/3 acres of corn in 1 day. How many days will it take to harvest 10 1\2 acres

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0
10 \frac{1}{2} \div2 \frac{1}{3} = \frac{21}{2} \div \frac{7}{3} = \frac{21}{2} \times \frac{3}{7} = \frac{9}{2} = 4 \frac{1}{2}
Ans: He will take 4 1/2 days to harvest 10 1/2 acres.
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If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b
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Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

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