Work out the fraction that is halfway between 1/2 and 1 1/4

Answers

Answer 1

Answer:

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]

as  1 1/4 = 3/4, so

[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]  

Apply fraction rule:  [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

             [tex]=\frac{2+3}{4}[/tex]

              [tex]=\frac{5}{4}[/tex]

2)

Divide by 2

[tex]\frac{5}{4}\div \:2[/tex]

Convert element to fraction:  [tex]2=\frac{2}{1}[/tex]

[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]

Apply fraction rule:  [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

         [tex]=\frac{5}{4}\times \frac{1}{2}[/tex]

Multiply fractions:  [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

         [tex]=\frac{5\times \:1}{4\times \:2}[/tex]

         [tex]=\frac{5}{8}[/tex]

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8


Related Questions

Jeremy collected data from an experiment he performed in science class. He compiled his data in this table.
X 0 1 2 3 4
y 1 24 816
Which equation represents the data shown in the table?
CA
y = x + 1
B.
y =
= log2x
С
y = 22
D
y = 22

Answers

Im pretty sure it’s A


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What is the vertex for the quadratic
y = 2(x-3)^2 - 4? Type as (h.k)

Answers

Answer:

(3,-4)

Step-by-step explanation:

You can find the vertex where x = -b/2a

To find the values of a and b, it would be easier to write the equation in standard form, which is y = ax^2 + bx + c

y = 2(x^2 - 6x + 9) - 4

y = 2x^2 - 12x + 18 - 4

y = 2x^2 - 12x + 14

In this equation, a = 2 and b = -12.

So let's plug that into x=-b/2a

x = -(-12)/2(2)

x = 12/4

x = 3

Now we have the x, we can just plug that into the original equation and get the y coordinate for the vertex.

y = 2(x - 3)^2 - 4

y = 2(3 - 3)^2 - 4

y = -4

Reflection across the x-axis for (-3,-7)

Answers

(3,7) just change the signs

Answer:

(-3, 7)

Step-by-step explanation:

The formula for reflecting a point across the x-axis is (x, y) → (x, -y).

Substitute: (-3, -7) → (-3, 7)

I hope this helped! :)

What ordered pairs satisfy the function y=2/3+1

Answers

Answer:

2345678io90

Step-by-step explanation:

-12{-8+[4(2-5)-(-10-2)]}​

Answers

-12(-8+(4*2-4*5)+10+2)

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Answers

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explanation:

Which equation matches the graph

Answers

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Answers

Explanation

Here the question wants to find the range of function. Your answer is incorrect because you are confusing between range and domain.

What is domain?

Domain is the set of all x-values. That means any values that are part of x are subset of domain itself. We can find domain two ways which are

Relation methodGraph method

But we are not talking about domain as we are looking for the range of function.

What is range?

Range is the set of all y-values. In the relations or ordered pairs (x, y). Our y is the range. Range can also be called Co-Domain or Output. But of course, we are not talking about finding range using relation method. We are going to find range by looking at the graph.

The range starts from minimum value to maximum value. If there is another point between minimum value and maximum, just ignore it.

Here is a diagram or easier way to understand.

[tex] \boxed{minimum} \Longrightarrow \boxed{maximum}[/tex]

From the graph, our minimum is -5 and our maximum is -1. Notice that there is another opened point at -2 which we are supposed to ignore. Because both minimum and maximum are closed dots. Hence, we use >= or <= only.

Therefore the solution should be

[tex] - 5 \leqslant y \leqslant - 1[/tex]

Answer

[tex] - 5 \leqslant y \leqslant - 1[/tex]

......the correct answer is A

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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To determine the dimensions of her second garden, she used a horizontal scale factor of 75% and a vertical scale factor of 150%. Using the given scale factors, what will be the horizontal and vertical measurements of her second garden?

Answers

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Step-by-step explanation:

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Step-by-step explanation:

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m - 7 = -10

Answers

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

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To check you just need to plug in -3 into the question

Hope this helps! Have a good day

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Answers

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Answers

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Step-by-step explanation:

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Adelfa paid Php98. 75 for four books that all cost the same amount. What was the cost per book
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Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The

elevator descends 2 meters every 0.5 seconds

step by step solution

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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