What is the fraction equivalent of the repeating decimal 0.2 (with the line on top of the 2)

What Is The Fraction Equivalent Of The Repeating Decimal 0.2 (with The Line On Top Of The 2)

Answers

Answer 1

Answer:

2/9 Hope this helps!

Answer 2

The fraction equivalent of the repeating decimal 0.2 with a line on top of the 2 is 2/9.

To convert the repeating decimal 0.2 with a line on top of the 2 to a fraction, we can use algebraic manipulation. Let's denote the repeating decimal as x:

x = 0.222...

To eliminate the repeating part, we can multiply x by 10:

10x = 2.222...

Now, we can subtract the original equation from the multiplied equation to eliminate the repeating part:

10x - x = 2.222... - 0.222...

Simplifying the equation:

9x = 2

Dividing both sides by 9:

x = 2/9

Therefore, the fraction equivalent of the repeating decimal 0.2 with a line on top of the 2 is 2/9.

Hence  option B is correct

For more details of repeating decimal:

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Related Questions

THE FIRST AND BEST ANSWER GETS BRAINLIEST
Here is triangle ABC.

1. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 2. Draw the triangle connecting the three new points.
2. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 12. Draw the triangle connecting the three new points.
3.Measure the longest side of each of the three triangles. What do you notice?
4.Measure the angles of each triangle. What do you notice?

Answers

The triangle a is b and the c is the c they relate

At the same time a 2-yard street sign casts a 3-yard shadow, a nearby utility pole casts a 12.3-yard shadow. How tall is the telephone pole? Round to the nearest tenth if necessary.

A) 18.5 yd
B) 3.2 yd
C) 3.1 yd
D) 3 yd

Answers

A) 18.5yd
The shadow cast is equal to .5 yards per every yard of object + the actual measurement
•5(12.3)= 6.15
6.15+12.3=18.45
Round up to 18.5

-2.8f + 0.9f - 12 - 4

Answers

Answer:

The answer is -1.9f-16

Step-by-step explanation:

Answer:

-1.9f-8

Step-by-step explanation:

HELP I DONT GET IT AT ALL

Answers

I hope this helps I couldn’t explain it with words
The answer is 2=n just search it up

what is the answer for 8 4/7 ÷ 15

Answers

Answer:

4/7

Step-by-step explanation:

Where should the variable be in an inequality math problem?

Answers

Answer:

After the number

Step-by-step explanation:

I'm not 100% sure what you're asking so if you have any questions just comment on this answer ^^

ex.

7x > 3

^ the variable is after the 7

Can i get the answers to 3y= -12x+9 and to 3y= -7x- 15 can you right it how the others are written down please i'll give brainliest if your not gonna help please don't asnwer

Answers

Answer: y=-4x+3 and y=-7/3x-5

Step-by-step explanation: divide 3 on both sides to get your answer.

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.

"My chart"
Friend#1: $9.34
Friend #2: $16.17
Friend#3: $9.69
Friend#4: 9.8

Answers

where is the question?

Find a rational number and an irrational number that are between 7.7 and 7.9. Include the decimal approximation of the irrational number to the nearest hundredth.

Answers

Answer:

7.8 is a rational number between 7.7 and 7.9.

Step-by-step explanation:

there are infinite rational numbers between 7.7 and 7.9. 7.8 is rational. So is 7.88. And 7.888. And 7.8888. Their fractions are, respectively: 78/10, 788/100, 7888/1000, and 78888/10000. They can all be written as a fraction (between two integers), and so, they are rational.

Answer:

7.8 is a rational number between 7.7 and 7.9.

Step-by-step explanation:

I NEED HELP PLS HELP HELP HELP HELP ASAP

Answers

Answer:

Step-by-step explanation:

Orange juice has 6 mg

Cranberry juice has 90 mg

Answer:oj:125mg

cj:90mg

Step-by-step explanation:

What is the value of the expression when a = 4 and b = 3?

4a+b−5

Answers

Answer:

14

Step-by-step explanation:

Rewrite the equation: 4*4+3-5

Multiply: 16+3-5

Add: 19-5

Subtract: 14

Hope this helps! (^-^)

PS this is following PEMDAS/ order of operations

Value of expression when a = 4 , b = 3 is: 14 .

Where expressions = 4a + b - 5.

How we evaluate expressions?To evaluate an algebraic expression, find the expression's value when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the expression's variable and then simplify the expression using the order of operations.The order of operations is a rule that specifies the correct sequence of steps to be taken when evaluating a mathematical expression. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Given expressions 4a + b - 5 .

Here given ,

a = 4

b = 3

By substituting,

4 x 4 + 3 - 5

= 16 + 3 - 5

= 19 - 5

= 14.

To learn more about expressions refer to :

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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.

Sketch and label the sides of this rectangle. Use an algebraic expression to represent the length of the long sides.

Answers

Answer:

14 inches??>.......

Step-by-step explanation:

2=x-3

5=x

2,2,5,5

4,10

14 inches

What two things are true if a relationship is proportional? Is there a shortcut ?

Answers

Answer:

They represent the same relationship and one variable is always a constant value times the other.

Step-by-step explanation:

y = 1/2x + 2
What is the slope?

Answers

Answer:

Step-by-step explanation:

UM I HAVE KNOW IDEA I HAVE PINS AND KNEEDLE THAT IM SITTING ON

AND IT HURTS A LOT

Answer: The slope is 1/2

Step-by-step explanation:

When the equation of a line is expressed in slope intercept form,  where

y = mx +b , m  is the always the slope and b is the y intercept.

Meaning that the slope is the coefficient of  the x variable.

Please answer these two tysvm!!!

Answers

63 and 36 I think I’m not sure tho

Josh drew △ABC with m∠A=40°, m∠B=60° and m∠C=80°. Howard drew △XYZ with m∠Y=60° and m∠Z=80°. What can you say about the two triangles? Justify your response.

Answers

         We compare triangles using the side lengths and angle measures. If a triangle has the same side lengths or an even side length ratio, they are similar. If a triangle has similar angle measures throughout, they are the same.

         If we look at the question, we are given one triangle with angle measures of 40, 60, and 80 degrees. We are also given a second triangle with 2 of 3 side lengths; x, 60, and 80 degrees.

         As we can see, both triangles have similar angle measures and note that a triangle must sum up to be a total of 180 degrees to form a complete triangle. If we add the angle measures of the first triangle, we get; 40 + 60 + 80 = 180.

         We can create an equation to solve for the missing angle of the second triangle.

m∠X + 60 + 80 = 180

~Combine like terms

m∠X + 140 = 180

~Subtract 180 to both sides

m∠X = 40

         Thus, we can see that the angle measures are the same, making both triangles similar.

         Best of Luck!

Help.......................

Answers

Answer:

Step-by-step explanation:

I wish I knew I need help as well

Hey guys I have a question I need answered asap about spiral review !!!
THANK YOU SO SO SO MUCH
fill in the blank
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 4.
blank inches by blank inches

Suppose you want to scale the copy back to its original size. What scale factor should you use ?? ___________________________________________

Answers

Answer:

1/4

Step-by-step explanation:

A scale factor of 4 multiplies every side length by 4 to produce the new scaled rectangle. To go back to the original size, you need every side length to be divided by 4. Dividing by 4 is the same as multiplying by 1/4. The scale factor is 1/4.

Answer: 1/4

so the original factors are 2 and 3. if it’s scaled by a factor of 4, you would multiple those to numbers by 4 to get the new rectangle.

answer: 8 by 12 inches

Karen purchased a DVD player on sale. The original selling price was ​$158.30. The sale price was ​$128.02. What is the first step in finding the percent​ markdown? Find the percent markdown.

Answers

Multiply. ...............

Answer: Find the markdown

Step-by-step explanation:

It is right

What is the ratio of 11 inches to 3 feet? (Change the feet to inches.)

Answers

11 : 36

12in (1 foot) × 3 =36 and put it into a ratio makes it 11 : 36

Answer:

11:36

Step-by-step explanation:

cause i took the quiz

One tablet contains 0.025 milligram of magnesium. How many milligrams of magnesium are there in 500 tablets?

Answers

Answer:

Plz name me the brainlieset

Step-by-step explanation:

12.5 milligrams are in 500 tablets

Answer:

12.5

Step-by-step explanation:

0.025 x 500 = 12.5

Over the past few months, Mrs. Wyatt rode her Peloton 5 days for every 3 days she walked on the treadmill. In 80 days, how many days did she ride her Peloton?
BRAINLIEST WILL BE GIVEN JUST HAVE A GOOD EXPLANATION

Answers

Answer:

48 i think!

Step-by-step explanation:

80 divided by five would be 16, multiply that by 3 and you get 48. im not sure if i did it right but if you did it the other way around its way off so.

Answer:

48 correct me if im wrong

Step-by-step explanation:

80 divided by five would be 16, multiply that by 3 and you get 48. this was my method

Cora got a $1200 loan for 2 years. She paid $90 in interest. What was her interest rate?

Answers

Answer:

555555555555555555555555555555555555555555555555555555

Step-by-step explanation:

watch anime and sleep

Anwser:

216,000

Step by step explanation:

Since you don’t have to calculate the interest amount, all you have to do I multiply those three numbers
Ps. Hope this helps ☺️

Please help me I really need help with this Ok.

Answers

Answer:

I believe its C

hope this helps

Rewrite this expression using the Distributive Property 4(2 + 15)

Answers

Answer:

8+60

Step-by-step explanation:

The Distributive Property is simple. Your basically multiplying what's on the outside by what's in the inside. For this you'd multiply 4 & 2 getting 8, and then 4 & 15 getting 60. Hope this helped you :)

quick its timeddddd: What is the length of the third side of the window frame below? (5 points)

(Figure is not drawn to scale.)

A picture of a right triangular window frame is shown. The longest side has length labeled as 52 inches. The height of the frame is labeled as 48 inches.

Answers

Answer:

42 inches

Step-by-step explanation:

Answer:

90 I think

Step-by-step explanation:

Please help me out tysmmmm

Answers

Answer:

This was really easy but it's 25.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

325 divided by 13 is 25

Hope this helps <3

find the value of x. then find the measure of each labeled angle. (the shape has a right angle)

Answers

Answer:

Tan^-1(5/14) equals 19.654

Step-by-step explanation:

Evaluate 7r - 7.5, for r = 5.6
brainliest will be given to someone that answers correctly with an explanation for your answer!!

Answers

Answer:

31.7

Step-by-step explanation:

7 · 5.6= 39.2

39.2 - 7.5= 31.7

Answer:31.7
Hope that this helps

How does the graph change from point G to point K?

On a coordinate plane, a graph increases through G, and then decreases through K.
The graph increases.
The graph decreases, then increases.
The graph remains constant.
The graph increases, then decreases.

Answers

Answer:

The graph decreases, then increases. C )The graph remains constant. D )The graph increases, then decreases.   yea this isn't correct so here's my answer. The graph increases, then decreases.

Step-by-step explanation:

Your welcome! :3

Answer:the graph increases, then decreases

Step-by-step explanation: you are very welcome!

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