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3 years ago

What fraction lies between 2/3 and 6/7 on the number line?

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

D. 5/6

Step-by-step explanation:

The given fractions have decimal values of ...

2/3 ≈ 0.67

6/7 ≈ 0.86

The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.

The last choice (5/6) is between 2/3 and 6/7.

Using a common denominator of 42, these three fractions are ...

2/3 = 28/42

5/6 = 35/42

6/7 = 36/42

The fraction 5/6 lies between 2/3 and 6/7.

_____

It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.

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iVinArrow [24]

Answer:

Step-by-step explanation:

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Ten times the sum of half a number and 6 is 8.

Sedaia [141]

That would be

$10( \frac{1}{2} n + 6) = 8$
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$.5n + 6 = .8$
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2 years ago

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Im stomped with 42/12 in simple form. Im trying to remember if I should divide by 7.

Yuliya22 [10]

Exact form- 7/2
Decimal form- 3.5
Mixed number form- 3 1/2

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3 years ago

The base of a triangular prism is a right triangle with a base of 5 inches, a height of 12 inches, and a third side length of 13

myrzilka [38]

Answer:

690 sq in

Step-by-step explanation:

SA = LA + 2B where LA is the lateral area and B is the area of the base

The triangular base has an area of

B = 1/2bh 1/2(5)(12) = 30

LA = ph where p is the perimeter of the base and h is the height of the prism

LA = (12 + 5 + 13)(21) = 30(21) = 630

SA = 630 + 2(30) = 630 + 60 = 690 sq in

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