What is 8/9 + 1/6 as a fraction

Answers

Answer 1

Answer:

[tex]\frac{19}{18}[/tex]   or   [tex]1 \frac{1}{18}[/tex]

Step-by-step explanation:

First, both fractions need to have a common denominator.

The LCM of 9 and 6 is 18.

[tex]\frac{16}{18} +\frac{3}{18}[/tex]

Add the numerators.

You get: [tex]\frac{19}{18}[/tex]

The mixed number form is [tex]1 \frac{1}{18}[/tex]

Answer 2

The expression  [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

In order to add fractions, it is essential to determine a common denominator.

The common denominator is [tex]9 \times 6 = 54.[/tex]

Now, let's convert the fractions to have the common denominator:

When we multiply the fraction 8/9 with 6 in numerator and denominator we get 48/54.

[tex]\frac{8}{9}= \frac{8}{9} \times \frac {6}{6}[/tex]

[tex]= \frac{48}{54}[/tex]

Now multiply the fraction 1/6 with 9 in numerator and denominator to make 54 in denominator:

[tex]\frac{1}{6}= \frac{1}{6} \times \frac {9}{9}[/tex]

[tex]= \frac{9}{54}[/tex]

Now, we can add the fractions:

[tex]\frac{48}{54} + \frac{9}{54} = \frac{(48 + 9)}{54}[/tex]

[tex]=\frac{57}{54}[/tex]

Despite this, we have the option to simplify the fraction by dividing both the numerator and the denominator with their greatest common divisor, which is 3.

[tex]\frac{57}{54} = \frac{19}{18}[/tex]

Therefore, [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

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Related Questions

I will Make Brainliest ! Plz solve those 5 Question on the Picture.​​ ​

Answers

Answer:

[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]

[tex](v) \: the \: interval \: 3 - 1[/tex]

what is the order biggest to least.

6/40 -4 3/4 -9/20

Answers

Answer:

.15, -.45, -4.75

Step-by-step explanation:

put all of them into a ti84 calculator and convert to decimals and then you get your answer.

Answer:

6/40, > -9/20, > -4 3/4

because positive numbers are greater, and the smaller the negative number, the greater it is.

Simon bought a $48 table on sale at 30% off.

Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression

A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!

Answers

Answer:

The answer is B. Hope this helps!

Solve for x
1/4 + 1/2 + x = -3/4

Answers

Answer:

x = -3/2

Step-by-step explanation:

Lets first multiply the entire equation by 4 to get rid of the fractions.

1+2+4x = -3

3+4x = -3

4x = -6

x = -6/4

x = -3/2

The answer is x= -3/2

An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?

Answers

there ya goooooooooooooooooo

g(x) = -x + 2, find g(5)

Answers

Answer:

-3

Step-by-step explanation:

-(5)+2 = -3

A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.

Answers

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

Could someone please help me?

Answers

Students where lying or they where inaccurate for some reason

120 miles in 1 3/4 hours as a unit rate

Answers

9514 1404 393

Answer:

  68 4/7 miles/hour

Step-by-step explanation:

The unit rate is found by dividing miles by hours:

  (120 miles)/(7/4 hours) = 480/7 miles/hour = 68 4/7 miles/hour

help pls and ty! i will give brainliest to the correct answer

Answers

Answer: 24km

Step-by-step explanation:

given 1cm : 8km

distance between cafe and restaurant upply store= 3cm

Real distance = 3x8 =24 km


If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?

Answers

75 hours because they both do it in the future

Which sums and/or differences equal 14? Check all that apply.

Answers

Answer:

What's the choices??

Step-by-step explanation:

A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour

Answers

Answer:

6 Km / hour

Step-by-step explanation:

Convert distance to Km ( 1 Km = 1000 m )

150 m = 150 ÷ 1000 = 0.15 Km

Convert 1.5 mins to hours ( 1 hour = 60 minutes )

1.5 = 1.5 ÷ 60 = 0.025 hours

average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{0.15}{0.025}[/tex] = 6 Km / hour

The average speed in km per hour is 6 kilometers per hour

How to determine the average speed?

The given parameters are:

Distance = 150 mTime = 1.5 mins

Convert meters to kilometers

Distance = 150/1000 km

Distance = 0.15 km

Convert minutes to hours

Time = 1.5/60 hour

Time = 0.025 hour

The average speed is then calculated as:

Speed = Distance/Time

This gives

Speed = 0.15 km/0.025 hour

Evaluate

Speed = 6 kilometers per hour

Hence, the average speed in km per hour is 6 kilometers per hour

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The importance of crushing the Whiskey Rebellion was to uphold

Answers

Answer:

Federal Authority should be the answer

Record the prime factorization of 720 using exponents

Answers

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

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PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!

Answers

Answer:

answer is in the image

Step-by-step explanation:

hope you have a great day i hope its the answer

Please helpp!! best answer gets brainliest​

Answers

Answer:

the answer is B and C, because B equals .57 and C is .666 continuous

Answer:

C

Step-by-step explanation:

Turn everything into a fraction (round if needed)

4/7 = 0.571

A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.

B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.

C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.

What is the sum of the numbers
1*2+2*3+.....n(n+1)

Answers

Answer:

8+n²+n

Step-by-step explanation:

Simplfy the expression

5 divided by 3/4 in simplest form

Answers

Answer:

improper form: 20/3

Mix Number:  6 2/3

Step-by-step explanation:

5/3/4

Can be simplified into 5 * 4/3

Which is 20/3

Hope this helps!

Answer:

e

Step-by-step explanation:e

Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2

Answers

Answer:

A.) 6a^3 + 12a^2 - 15a

Step-by-step explanation:

Area = w * l

Area = 3a(2a^2 + 4a - 5)

Area = 6a^3 + 12a^2 - 15a

The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False

Answers

9514 1404 393

Answer:

  B.  False

Step-by-step explanation:

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

There is nothing in the diagram to require the triangles be congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

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3x+2=198
Solve it as Soon as possible!​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x ~

[tex]3x + 2 = 198[/tex]

[tex]3x = 198 - 2[/tex]

[tex]3x = 196[/tex]

[tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]

Answer:

[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]

Result:

[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]

tickets to a fair cost $4 for children and $10 for adults. You are unsure of how many tickets were sold, but know that $200 was collected. define your variables. What would be my variables??

Answers

Answer:

4=

10=

200=

I dont actully know this i wanted to give it a try n all i got was this

Can you please tell me if this is correct ?

Answers

Answer:

(6*3) - 5

Step-by-step explanation:

The product of 6 & 3 = 6*3 = 18

5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18

18 - 5 = 13

13 is 5 less than 18

3. Write Math Two factors that make a product are sometimes called a factor
pair. Describe how using factor pairs helped you solve the problems.

Answers

Ymx+b
Is the value of the factor yes yes

equation with a variable on both sides that equal 27

Answers

Answer:

x +20 = 20 + 4 -x +10  (x =7)

Step-by-step explanation:

equation with a variable on both sides that equal 27

x +20 = 20 + 4 -x +10

rewrite 4x plus 2y equals 6 in slope intercept form.

Answers

Answer:y=-2x+3

Step-by-step explanation:

A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 270 were in favor of the increased speed limit. Construct a 95% confidence interval on the difference in the two proportions. Round your answer to four decimal places (e.g. 98.7654).

Answers

Answer:

5.006

Step-by-step explanation:

This is K12 in sixth grade
The committee is planning a party and 150 guests are expected. Each table seats 12 people.

How many tables will be needed to seat all 150 guests?


12

13

162

1800

Answers

Answer:

13

Step-by-step explanation:

divide 150 by 12

the answer is 12.5

round 12.5

;)

Your answer here is 13 aka b

3. Use the vertical line test to determine whether the relation graphed below is a function
(1 point)
Oyes
Ono
O cannot be determined

Answers

Answer:yes

Step-by-step explanation:

Bc it is was r

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