simplify:- the following fraction

Simplify:- The Following Fraction

Answers

Answer 1
Answer:  2 & 59/396

Whole part = 2

Fractional part = 59/396

======================================================

Work Shown:

3 & 3/5 = 3 + 3/5

3 & 3/5 = 15/5 + 3/5

3 & 3/5 = 18/5

--------------------

4 & 8/9 = 4 + 8/9

4 & 8/9 = 36/9 + 8/9

4 & 8/9 = 44/9

--------------------

Now apply the rule that 1/(A/B) = B/A. We apply the reciprocal to the fraction A/B to get B/A

That means something like 1/(18/5) becomes 5/18

Also, 1 over (44/9) becomes 9/44

1 over (3/5) becomes 5/3

-------------------

We now have the following:

(5/18) + (9/44) + (5/3)

We'll come back to this later. But first need the LCD, which means we need the LCM of the denominators.

Write out the prime factorization of each denominator

18 = 2*3*344 = 2*2*113 = 1*3

The unique prime factors are: 2, 3, 11

We have 2 occur at most twice, so 2^2 is part of the LCM.We have 3 occur at most twice, so 3^2 is part of the LCMWe have 11 occur at most 1 time, so 11^1 is part of the LCM

The LCM is 2^2*3^3*11^1 = 1188, which is also the LCD

-------------------

We need to get each fraction to have the LCD

5/18 = (5/18)*(66/66) = 330/1188

9/44 = (9/44)*(27/27) = 243/1188

5/3 = (5/3)*(396/396) = 1980/1188

We can now add the fractions like so

(5/18) + (9/44) + (5/3)

(330/1188) + (243/1188) + (1980/1188)

(330+243+1980)/1188

2553/1188

-------------------

We're almost done. We just need to convert to a mixed number, aka mixed fraction

Using a calculator or long division, you should find that

2553/1188 = 2.1489898989899

approximately. Focus just on the stuff to the left of the decimal point. That's the whole part of the answer.

We can then say: 2553-1188*2 = 177

This forms the numerator of the fractional part. The denominator stays at the LCD 1188

That forms the fraction 177/1188. Divide both parts of that fraction by 3 to fully reduce it. You should get to 59/396

-------------------

So that's how we end up with the mixed number 2 & 59/396


Related Questions

Here is some information about a holiday.

7 night holiday
$340 per person
8% discount if you book before 31 March

On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.

Answers

Answer:

$625.6

Step-by-step explanation:

Information about a holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = February 15

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

the meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50. if Jenna deducts this amount from the total how much will each of the other people pay for their meal

Answers

Subtract the dessert from the total:

52.95 - 2.50 = 50.45

Now divide that by the number of people:

50.45/5 = 10.09

Each person would pay $10.09

She would pay 10.09 + 2.50 = 12.59

52.95/5 = 10.59
2.50/5 = .50
All the others beside her will pay $10.09 for their meal.

A Rectangle is formed by placing two identical squares side-by-side the area of the rectangle is two cm². What is the perimeter of one square

Answers

Answer:

4cm

Step-by-step explanation:

first find the length of the side of one square

the length of the rectangle will be twice the width

let y represent the width

area of a rectangle=length x width

2cm²=2yxy

2cm²=2y²

2cm²/2=2y²/2

1cm²=y²

1√cm²=√y²

1cm=y

perimeter of a square=4xside

4x1cm

4cm

If using the method of completing the square to solve the quadratic equation
22 + 2x + 16 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

complete the square 2 x + 38 = 0

Step-by-step explanation:

What line on a coordinate plane is called the x-axis? Horizontal or Vertical. Please respond as quick as possible​

Answers

Answer:

it's called the horizontal line

Step-by-step explanation:

also known as y=0

If f(x)=2x2+3x−6, determine the value of f(2)

Answers

Answer: 4

2x2+3(2)−6

lets make sure we do OOO (order of operations correctly)

2x2+3(2)−6

4+3(2)−6

4+6−6

10−6

4

Step-by-step explanation:

Martin had 60kgs of sugar. He put the sugar weighing 3/4 kg. How many packets did he fill ??

Answers

Answer:

45kg

Step-by-step explanation:

60.3/4=45

What is the following values of:

XZ:

XY:

Answers

it’s 5 square root 2 and 5

11 4/5 divided by 3 1/5

A. 3
B. 3 1/2
C. 7/2
D. 4

( Answer within 5-10 minutes to get brainliest! )

Thank you in advance!
I appreciate it all!

Answers

Answer:

3.5

Step-by-step explanation:

It's technically 3.69 but 3.5 is the closest answer you can get

Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2

Answers

Answer:

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

Step-by-step explanation:

Given

[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Required

The complete factored form

We have:

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Factor out x + 3

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

The above represents the completely factored form

Answer:

C on edge

Step-by-step explanation:

I took the test

5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?

Answers

5:6 is the answer and that still isn’t enough words maybe if I type what I am saying it will be 20 characters

Complete the frequency distribution table below.

Answers

Answer:

.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.

Answers

Answer:

10

Step-by-step explanation:

-14+15 leaves a positive 1

-11+20 leaves a positve 9

add.

I need help very quickly, please!!​

Answers

Answer:

32ft

Step-by-step explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer:

32 feet

Step-by-step explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=[tex]\frac{x}{15}[/tex]

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=[tex]\frac{x}{15}[/tex]

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)

Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.

If we know that Karen boards the bus first, which shows the possible outcomes for this event?

KHIJ
KHIJ, KHJI
KHIJ, KHJI, KJHI, KJIH
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Answers

Answer:

D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Step-by-step explanation:

Got a 100% on test! EDGE 2021

The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.

What is permutation?

A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.

Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert

The formula to determine permutation is:

ⁿPₓ = n!/(n-x)!

Where n is the total number of objects and r is the number of objects selected.

For the given question, n will be 3 since K boards the bus first and hence his position is fixed.

Therefore, H, I, and J can switch positions.

³P₂ = 3!/(3-2)!

³P₂ = 6

Therefore, the correct option is D.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ7

Next
Unit Pre Test
Submit Test
20
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
The equation of a line is 2[v+ 1) = 10x* 3.
The yuntercept of the line is
and the slope of the line is

Answers

Answer:gotta go sorry

Step-by-step explanation:

Can someone help me with this now !

Answers

Answer:

its either B or D.

Step-by-step explanation:

could you mark me brainliest pls or even hit the thanks button

HURRY !!!!!! Which describes the correlation shown in the scatterplot?

Answers

No correlation is shown.

y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?

Answers

What are you asking exactly?

please help asap ill give brainliest

Answers

Answer:

is 0.24 yards in the option, becausw i am getting this as my answer

!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!


AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!

Answers

Answer:

B) 376 units squared

Step-by-step explanation:

Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)

Btw saw your other one got deleted •_• *sigh*

Given JKL: XYZ, find x.

Answers

Answer:

is there a pic to go along? i need more to this..

Someone started fishing at 15.30 am after fishing for 2hours 15 min he rested for half an hour he then continued until 11am how long did he fish?

Answers

Answer:

7 Hours

Step-by-step explanation:

According to the Question,

Given, Someone started fishing at 3:30 am after fishing for 2hours 15min. he rested for half an hour(30min). Thus,  Now The Clock is Rotating to 3:30 am + 2hour 15 min. + 30 min. = 6:15 am .

He then continued doing Fishing until 11 am. As a result, he fished for 4 h 45 min. more after resting.

So the Total Time he Spends Fishing is 4 hour 45 min. + 2 hours 15 min.

7 hours  

Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.

Answers

If p is the price of a bag of popcorn and d is the price of a drink
2p + 3d = 18.25 Mohamed’s order
4p + 2d = 27.50 Miguel’s order
If we double the first equation
4p + 6d = 36.50
Now subtract the second equation (find the difference between them)
4d = 9.00
d = 2.25
Substitute in the first equation
2p + 3 x 2.25 = 18.25
2p = 18.25 - 6.75 = 11.50
p = 11.50 / 2 = 5.75

Popcorn was $5.75 a bag and drinks were $2.25 each

What measure is represented by 17 feet in the figure below?

A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder

Answers

Answer: The answer is the diameter.

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

the diameter goes straight through the center of the circle

Find the range, median, and mode of the following dot plot.
0.11
0.12 0.13
0.14 0.15 0.16 0.17 0.18
Range:
Median:
Mode:

Answers

Answer:

Range: 0.07

Median: 0.145

Mode: none

Step-by-step explanation:

Range: largest #- smallest #

Median: middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two

Mode: most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode

Simplify exponents. A, B, or C and explain.

Answers

8^-3 is the answer.. when two numbers of the same base in a fraction form are stacked on top of each other, the exponents always SUBTRACT.. so 3-6 is -3 and the base stays the same :)

Answer:

[tex]8^{-3}[/tex]

Step-by-step explanation:

[tex]\frac{8^3}{8^6}[/tex]

in division f the base are same u can subtract their exponents

8^3-6

8^-3

Complete parallel side 2
Height = 8mm
parallel side 1= 5mm
parallel side 2=?
Area = 72 mm

Answers

Step-by-step explanation:

Assume length of side 2 = L

Area of parallelogram is Height x L

So, 72 = 8 x L

L = 9

To get 400 as quotient, what number is to be divided by 16?

400+16
400 -16
400÷16
400× 16

Answers

Answer:

400×16

Step-by-step explanation:

let the number be n.

[tex] \frac{n}{16 } = 400 \\ 16 \times \frac{n}{16} = 400 \times 16\\ n = 400 \times 16[/tex]

Help? Solve the system of equations.

y = 3x
y = x2 + 3x – 16
solutions: ( );( )

Answers

Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

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