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

3(3v-5) = 39
Simplify your answer as much as possible.

Answers

Answer:

v = 6

Step-by-step explanation:

Given

3(3v-5) = 39

So,

3v - 5 = 39 / 3

=> 3v - 5 = 13

=> 3v = 13 + 5

=> 3v = 18

=> v = 18 / 3

=> v = 6

#HopeItHelps

Answer:

V=6

Step-by-step explanation:

Hope this helped! :)

Simplifying

3(3v + -5) = 39

Reorder the terms:

3(-5 + 3v) = 39

(-5 * 3 + 3v * 3) = 39

(-15 + 9v) = 39

Solving

-15 + 9v = 39

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 9v = 39 + 15

Combine like terms: -15 + 15 = 0

0 + 9v = 39 + 15

9v = 39 + 15

Combine like terms: 39 + 15 = 54

9v = 54

Divide each side by '9'.

v = 6

Simplifying

v = 6

James has 13.7 ounces of trail mix. He shares the trail mix equally with his sister.

How much trail mix does each person get?

Answers

Answer:

6.85 ounces

Step-by-step explanation:

13.7/2people=6.85

Write an integer for each situation. *Remember that an integer is a whole number that
can be negative, positive, or zero.
a bank deposit of $75

Answers

-75. a deposit is a 'down payment'

PLS help me. i need to get this right for a graded homework assignment

Answers

Answer:

934.14

Step-by-step explanation:

Answer:

no hey sis

Step-by-step explanation:

is 2.6457513110 a rational number?

Answers

yes it is a rational number

Jim can make 2 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can he make with
5 cups of flour?

Answers

10 cupcakes . 5x2 = 10

The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)

Answers

Step-by-step explanation:

Given

[tex]f(x) = \frac{x + 5}{x} [/tex]

So

[tex]f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} [/tex]

Now

[tex] {f}^{ - 1} (x) = \frac{5}{x - 1} [/tex]

So

[tex] {f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5[/tex]

Hope it will help :)❤

Your parents are allowing you to purchase new clothes for school. You go to Hollister, where shirts are all on sale for $24.00 and jeans are all on sale for $35.00. After trying on some clothes, you check out and leave the store with 13 things in your bag and a receipt that says that you spent $367.00. How many shirts and jeans did you buy?

Define the variables: x= ___________ y=________

Equation #1:______________
Equation #2:______________


Solution: _____________​

Answers

Answer: 8 shirts 5 jeans

Step-by-step explanation:

Pls help me with my homework

Answers

Answer:

b = 8

Step-by-step explanation:

Using Pythagorean Theorem, a[tex]a^{2} +b^{2} =c^{2}[/tex], we just plug in what we know.

We know that the hypotenuse, c, is 10 km. We also know that one of the other side lengths is 6 km, we can plug that into either a or b.

Now, our equation will be: [tex]6^{2} +b^{2} =10^{2}[/tex].

You could also use the equation: [tex]b^{2} =10^{2} -6^{2}[/tex].

Next, we'll just solve the equation.

[tex]10^{2} =100[/tex], [tex]6^{2} = 36[/tex]

[tex]b^{2} =100 - 36[/tex]

[tex]b^{2} = 64[/tex]

[tex]\sqrt{b^{2} } = \sqrt{64}[/tex]

b = 8

Good luck :D

Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!

Answers

Where is the question?

An online office supply store has 30 boxes of white printer paper, 10 boxes of colored
printer paper, 5 ink printer cartridges, 7 laser printer cartridges. Thomas selects an
item at random. Based on the given information, which statement is true?

Answers

What are the answers?

Plz help due tomorrow

Answers

Answer:

It's the first one

Step-by-step explanation:

Hope this helped! Good luck and have a great day!

Answer:

Step-by-step explanation:

The answer to this is the first answer which is A

Emanuel biked 6 3/4 miles, and Layla biked 4 1/2 miles.
How many times the length of
Layla's bike ride was Emanuel's bike ride?

Answers

Answer:

1 1/2 times more

Step-by-step explanation:

6.75 ÷ 4.5 = 1.5

What is ¨0.83% of n is 18.26¨ (just tell me the value of n)

Answers

Answer:

N = 2,200

'Percent (%)' means 'out of one hundred':

0.83% = 0.83 'out of one hundred',

p% is read p 'percent',

0.83% = 0.83/100 = 0.83 ÷ 100

Calculate percentage:

'Percentage' is obtained by multiplying 2,200 by 0.83%

0.83% × 2,200 =

(0.83 ÷ 100) × 2,200 =

(0.83 × 2,200) ÷ 100 =

1,826 ÷ 100 =

18.26

Step-by-step explanation:

Hope it is helpful....

I need help
The radius of a circle is 3 meters. What is the area of a sector bounded by a 180° arc?

Answers

14.12 meters squared

2. What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i?
A. y = x - 2x2 - 9x + 18
B. y = x3 - 2x2 + 9x - 18
C. y = x2 - 5x - 6
D. y = x2 + x - 6

Answers

I think the answer is c because it makes a lot of sense

A triangle has sides of length 3 cm, 5 cm, and 7 cm.
Find the size of the largest angle in the triangle,

Answers

Answer:

C=120 degrees

Step-by-step explanation:

We can use the law of cosines to find an angle when we have all three sides

(7)^2 = (5)^2 + (3)^2 -(2)(5)(3)Cos(C)

49 = 25 +9 -30Cos(c)

49= 34 -30Cos(c)

15 = -30Cos(c)

Cos(c) = -1/2

C=120 degrees

Four friends were born in consecutive years. The sum of their
ages is 94. What is the age of the oldest friend?

Answers

Answer:

25

Step-by-step explanation:

Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.

Now we add the 4 expressions and set the sum equal to 94.

x + x + 1 + x + 2 + x + 3 = 94

4x + 6 = 94

4x = 88

x = 22

The youngest one is 22.

The oldest one is

x + 3 = 22 + 3 = 25

Answer: 25

A line includes the points (-1,0) and (-2,-9). What is its equation in slope-intercept form?​

Answers

Answer:

y = -7x -7

Step-by-step explanation:

If (-1, 0) and (-2, -9) are on the same line then that means their slope is the same. We can find slope with (y1 - y2)/(x1 - x2)

(-2 - (-9)) / (-1 - 0) = 7 / -1 = -7

then we can use the formula y = mx + b

we know that forthe first instance y = 0 and x = -1 and m(slope) = -7

0 = -7*-1 + b

0 = 7 + b

b = -7

our formula then becomes y = -7x -7

!PLEASE HELP ASAP! What is the volume of the figure

Answers

Answer:

264 cubic cm

Step-by-step explanation:

(8*8*1)+(8*5*5) = 264

(I literally helped a kid with a similar question)

WILL MARK AS BRAINIEST
Select the correct answer. Which factor is important to consider when building a savings fund for planned, long-term needs? A. the interest rate on a long-term loan B. using investments to grow your savings C. having immediate access to cash D. the cost of credit E. securing a line of credit from a bank

Answers

Answer:

I'm certain it's B.

Step-by-step explanation:

b. using investments to grow your savings.

3x-8>22
Hellllllllllllllllpppppp

Answers

Answer:

Step-by-step explanation:

Pemdaa

x>10

3x-8>22
3x-8+8>22+8
3x>30
3x/3>30/3
x>10

Match each equation with its solution...I dont get this

Answers

Answer:

go to demos.com (calculator) trust me amd type the equation in as so ex: e+ 3/8 = 2 type it in as 2- 3/8 then you'll see the little fraction number by your answer sometimes youll have to press that

Jessica's business has 83 rolls of toilet paper. Customers use 3 rolls of toilet paper per day.

Write an expression to represent the amount of toilet paper after d days. i dont understand can someone post an answer an explain?

Answers

I believe it is 3 x d=83 (d meaning days) so you have to figure out how many days the customers used toilet paper. So to find that out you would have to do 83 divided by 3 which equals 27.6 so maybe round up to the nearest tenth so I’d say that d=28. I hope I was able to help you!

the length of a boat is 10.8 m Boris buys a scale model of the boat the scale of the model is 1 to 18 work out the length of the scale model of the boat give your answer in centimetres​

Answers

Answer:

The size of the scale model is 60 centimeters.

Step-by-step explanation:

Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:

1m = 100cm

10.8 m = (10.8 x 100) = 1080 cm

1080/18 = X

60 = X

Therefore, the size of the scale model is 60 centimeters.

how do I find the angles for 1,2,3, and 4?

Answers

Answer:

hope it helped have a good day mate

I NEED HELP FAST PLEASE :)

Answers

Answer:945

Step-by-step explanation:

You can text 44 words in 1 minute. Write a proportion to help you find
how many words you can type in 4 minutes. Which choice sets up the
proportion correctly and has the correct solution?

Answers

Answer:

176 words

Step-by-step explanation:

1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:

44 words = x

1 minutes = 4 minutes

2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.

3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!

4) multiplying 44 by 4 would get us our answer which is 176

im not the best at math but i this explanation helped <33

(HELP ASAP GEOMETRY) Find the length of the midsegment. The diagram is not to scale.

Answers

Answer:

D?

Step-by-step explanation:

PLEASE HELP ITS DUE SOON

Answers

1) S
2) T
3) U
4) V
5) TU
6) MJ
7) 5
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