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DENIUS [597]
3 years ago
15

Find the GCF of 5y5 and 50y2.

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer: 5y^2

Step-by-step explanation:

Given

5y^5\ \text{and}\ 50y^2

GCF or HCF of the two is the highest common factor

\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10

It is clear GCF is 5y^2

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Find four fractions between 1/10 and 1/8
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Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

<em>Check</em>

  • 1/8 = 0.125
  • 5/42 ≈ 0.119
  • 5/44 ≈ 0.114
  • 5/46 ≈ 0.109
  • 5/48 ≈ 0.104
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_____

<em>Additional comment</em>

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

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Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

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