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NeX [460]
4 years ago
8

Which mixed number is equivalent to the improper fraction 22/7 ?

Mathematics
1 answer:
Alex787 [66]4 years ago
6 0

I think you meant to write 27/2

Improper fractions always have the larger number up top.

Use long division to find that 27/2 = 13 remainder 1

The 13 is the whole part and the remainder 1 will go over 2 to get 1/2

So we have 13 and 1/2 or 13&1/2 as the final answer

27/2 = 13 & 1/2

Check out the attached image below to see the long division steps

--------

An alternative method is to break up 27 into 26+1, and simplify like so,

27/2 = (26+1)/2 = 26/2 + 1/2 = 13+1/2 = 13 & 1/2

which gets us the same result as before

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A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35
andrew-mc [135]

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint =  6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint =  35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x =  6 :15

\Rightarrow \frac {35}{x}=\frac{6}{15}

\Rightarrow x={35\times15}{6}=87.5

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

6 0
3 years ago
A student rides his bike 6 1/4 miles in 1/3 <br> hour. What is his rate in miles per hour?
Vladimir79 [104]

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4 0
3 years ago
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Step-by-step explanation:

Answer in attached picture

hope it helps

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3 years ago
A real estate broker sold your house for $189,000. The broker's commission was 4.5 percent of the selling price. How much would
k0ka [10]
First, we are going to find the commission of the broker. To do that we are going to multiply  the selling price of your house by 4.5 percent:
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Next we are going to subtract the broker's commission ($8505) from the selling price of your house:
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