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marissa [1.9K]
3 years ago
6

The model shows 1/2 . Which of the following correctly models and gives the quotient of 1/2 / 3/8 ?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0
1/2 / 3/8 =
1/2 * 8/3 =
1*8 / 2/3 =
8/6 = 4/3 your answer
Nataliya [291]3 years ago
8 0
Hai there!

First, let's use the KCF technique (my old math teacher taught me this!)

Keep the first fraction the same, in this case, 1/2
Change the sign from division to multiplication
Flip the second fraction, or 3/8, to get it's reciprocal, or 8/3.

The new equation should look like this:

1/2 * 8/3
 
Now multiply straight across like you normally would, like so:

1 * 8 = 8
2 * 3 = 6

The new fraction is 8/6. Simplify by dividing both sides by 2 and turning it into a mixed fraction:

8 / 2 = 4
6 / 2 = 3

4/3 = 1 1/3

The solution to 1/2 / 3/8 is 4/3 or 1 1/3. I hope this helped you :)
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<u>c) 3, 6, 9 12</u>  is NOT a geometric progression

<h3>Further explanation </h3>

Geometry sequences are series of numbers that have a constant ratio

or can be interpreted:

Each number is obtained by multiplying the previous number by a constant

The sequence can be:

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a. \dfrac{5}{1}=\dfrac{25}{5}=5\to \rm geometric\:progression

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c.\dfrac{6}{3}\neq \dfrac{9}{6}\to \rm not\:geometric\:progression

d. \dfrac{6}{2}=\dfrac{18}{6}=3\to \rm geometric\:progression

<h3>Learn more </h3>

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Keywords : a geometric sequence, the first term, the common ratio

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