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Brut [27]
3 years ago
10

What is 3 1/2+4 5/6?

Mathematics
1 answer:
MissTica3 years ago
3 0
3 1/2 + 4 5/6

Multiply 3 1/2 by 3/3 so that both fractions have "6" as their bottom number (denominator).

3 1/2 × 3/3 = 3 3/6

So, our new question is this : 3 3/6 + 4 5/6

Basically, when both fractions have the same bottom number (denominator), all you have to do is add the top numbers (numerators) as well as adding the whole numbers. Remember, you always keep the bottom number (denominator) the same when you are adding or subtracting.

Whole number : 3 + 4 = 7

Numerator : 3 + 5 = 8

Denominator : 6

So, our answer is 7 8/6

However, because the top number (numerator) is greater than the bottom number (denominator), you have to make the whole number larger.

So, our answer is 8 2/6

Simplify.

8 1/3

~Hope I helped!~
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A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.
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We are trying to find the average speed of the plane, which is mph, or \dfrac{\textrm{miles}}{\textrm{hour}}. Using proportions, we can find the average speed of the plane in mph:

\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}

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An airplane flies from City 1 at (0, 0) to City 2 at (33, 56) and then to City 3 at (23, 32). What is the total number of miles
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Step-by-step explanation:

  1. First we need to find the distance for the first segment using the formula for distance D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}. Let's say (x_{1},y_{1}) is (0, 0) and (x_{2},y_{2}) is (33, 56). This gets us that the length of this segment is 65 miles.
  2. Next, we need to find the distance for the second segment. Using the same formula for distance  D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}, we can say (x_{1},y_{1}) is now (33, 56) and (x_{2},y_{2}) is now (23, 32). This gets us that the length of this segment is 26 miles.
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