what is 0.142857 repeating as a fraction????

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]n= 0.142857[/tex]

[tex]1000000n= 0.142857[/tex]

Move the decimal point using the 1000000n

You should get 142857.142857 repeating

Subtract n from both sides [tex]142857.142857- 0.142857[/tex]

You should get 142857 without the repeating decimal.

The equation is now: [tex]142857/999999[/tex] (fraction)

A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.

You can use a calculator for 142857/3 (division) (unless your teacher says you can't)

You should get 47619

You should get[tex]47,619/333333[/tex]  (fraction).

I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.

Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)

You should get 15,873

You should get 15,873/111111 (fraction)

Answer 2

The repeating decimal 0.142857 is equivalent to the fraction 1/7.

Given that we need to convert a repeating decimal 0.142857 as a fraction.

The repeating decimal 0.142857 can be expressed as a fraction. To understand how to convert it, let's denote it as x:

x = 0.142857...

To convert this repeating decimal to a fraction, we can multiply x by a power of 10 to shift the decimal point and eliminate the repeating part.

Since there are six digits in the repeating block (142857), we can multiply x by 10⁶ to remove the repeating part:

10⁶ · x = 142857.142857...

Next, we subtract the original equation from the one above to eliminate the repeating part:

(10⁶ · x) - x = 142857.142857... - 0.142857...

Simplifying the equation:

999999x = 142857

Now, we can solve for x by dividing both sides of the equation by 999999:

x = 142857 / 999999

Simplifying the fraction:

x = 1 / 7

Therefore, the repeating decimal 0.142857 is equivalent to the fraction 1/7.

Learn more about repeating decimal click;

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Related Questions

Over one weekend the fast florist makes 368 deliveries of one dozen roses. Did the fast florist deliver more then or less than 4,000 roses? Explain. That's my question ^ please help

Answers

Answer:

The florist delivered more than 4000 roses

Step-by-step explanation:

One dozen is 12 roses, so the fast florist delivered a total of 368 x 12 = 4416 roses. That is more than 4000 roses, so the answer is More than 4000 roses

Write the coordinates of the vertices after a translation 5 units right and 2 units up.
101
Y
- 10
0
10
F
E
10
с
D
C(-4, 10)
)
D(2, -10)
D'C
E(2,-2)
→ El
F(-4,-2) - FC

Answers

Answer:

c=(1,-8)

d=(7,-8)

e=(7,0)

f=(1,0)

Step-by-step explanation:

It super simple, just just move each point to the right 5 lines/units, and up 2 lines/units.

The coordinates of the vertices after a translation 5 units right and 2 units up. C =(1,-8), D =(7,-8), E =(7,0) and F =(1,0)

How to draw a shifted figure if the shifts are provided?

Suppose the graph is drawn on the coordinate plane.

Let the shifting be (x,y) → (x+a, y+b)

Then, add 'a' to all x coordinates of the graph's points. Add 'b' to all y coordinates of the graph's points.

The resultant set of new points will be plotted.

Thus it is called origin shift since we think of it as the origin was picked and placed at the point (a,b)(in this case) along with those two axes (x and y axes) and now everything will be measured from this new axes' frame.

Therefore, the coordinates of the vertices after a translation 5 units right and 2 units up.

C =(1,-8)

D =(7,-8)

E =(7,0)

F =(1,0)

Learn more about area of a triangle from its vertices' coordinates here:

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Someone please help me with this

Answers

Answer:

C

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]x^{4}[/tex] + 7 ( subtract 7 from both sides )

y - 7 = [tex]x^{4}[/tex] ( take the fourth root of both sides )

[tex]\sqrt[4]{y-7}[/tex] = x

Change y back into terms of x where x is g(x)

g(x) = [tex]\sqrt[4]{x-7}[/tex] , x ≥ 7

Kaya rented a limousine for prom. The company charges a cleaning fee of $100 and an hourly rate of $45. Her total cost for the night was $437.50. For how many hours did Kaya rent the limousine?

Answers

Answer:

Number of hours= 7.5

Step-by-step explanation:

Giving the following information:

The company charges a cleaning fee of $100 and an hourly rate of $45.

Her total cost for the night was $437.50

First, we need to structure the total cost formula:

Total cost= 100 + 45*x

x= number of hours

437.5= 100 + 45x

337.5/45= x

x= 7.5

Number of hours= 7.5

Answer:

Kaya rented the limo for about 7.5 hours

                  Hope this helps! good luck :)

3 . 072 > 3 . 2 Choose...

Answers

Answer:

The answer is 3.2.

Step-by-step explanation:

Answer:

the statement above is false a

Step-by-step explanation:

3.2 is greater than 3.072

A survey showed that 4 out of 5 students own a bicycle. Based on this result, how many of the 800 students in a school own a bicycle? Use any strategy to solve.

Answers

Answer:

640 students

Step-by-step explanation:

We are told in the question that 4 out of every 5 students owns a bicycle

This also means , out of every 5 students only 1 does not have bicycle

Then we have a ratio of 4 : 1

This means a fraction of 4/5 students own a bicycle in a school

Based on this result, how many of the 800 students in a school own a bicycle?

This calculated as:

4/5 × 800

= 640 students

Therefore, 640 students out of 800 students own a bicycle

((3 + 3)​ 2​· 3) - 3​ 2

Answers

Answer:

The answer is 4

Step-by-step explanation:

Hope this answeris helpful...

Make me as brainliest...

What is 12.5×10 to the six power

Answers

Answer:

12500000

Step-by-step explanation:

Answer: the answer is 12500000

Step-by-step explanation:

16. A newspaper surveyed its subscribers as to which section of the paper they read first. The results are below. Is it reasonable to conclude that 39.1% of the paper's subscribers read the business or sports sections first?
Section
%
Front Page 25.0
Sports
25.2
Business 13.9
Comics 22.1
Horoscope 13.8

Answers

Answer:

j

Step-by-step explanation:n

Solve the formula for the indicated variable.

D = ABC for A

A=

Answers

The answer is A=d/bc


How would you write -5.6 x 10-3 in standard form?

Answers

Answer:

negative five point six times ten minus three

Step-by-step explanation:

write the number out with letters

Answer:

-0.0056

Step-by-step explanation:

Hope this helped

An athlete goes to the gym to train for 90 minutes each day for as many days as possible. Write an equation that relates the number of days, d, that the athlete spends training if the athlete trains for 540 minutes.

Answers

Answer:

23

Step-by-step explanation:

your answer will be 23

Evaluate each expression
a. 2: 3 - 4

Answers

-1 it’s just 4-3 but add the negative

2.4+10m=6.89 what does m equal

Answers

Answer:

m = 0.449

Step-by-step explanation:

Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS.

PEMDAS is the order of operation & =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2.4 from both sides:

2.4 (-2.4) + 10m = 6.89 (-2.4)

10m = 6.89 - 2.4

10m = 4.49

Divide 10 from both sides:

(10m)/10 = (4.49)/10

m = 4.49/10

m = 0.449

0.449 is your answer for m.

~

Answer:

m = 0.449

Step-by-step explanation:

[tex]2.4+10m=6.89\\\\\mathrm{Subtract\:}2.4\mathrm{\:from\:both\:sides}\\2.4+10m-2.4=6.89-2.4\\\\Simplify\\10m=4.49\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10m}{10}=\frac{4.49}{10}\\\\Simplify\\m=\frac{4.49}{10}\\\\\left(\mathrm{Decimal}:\quad m=0.449\right)[/tex]

When Matthew eats pizza, he always eats a whole slice at a time with no bites left over. Which graph best represents this situation?

Answers

Answer:

B

Step-by-step explanation:

i just took the assignment

Answer:

its b

Step-by-step explanation:

i did the assignment

Evaluate 7 + (-3x2) for x = 0.
-2
00
04

Answers

Steps to solve:

7 + (3x^2)

~Substitute

7 + 3(0)^2

~Simplify

7 + 3(0)

~Simplify

7 + 0

~Add

7

Best of Luck!

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Answers

Answer:

x = 26

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (x - 2) = [tex]\frac{1}{5}[/tex] (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the yard.

>The area is in square meters<

Length (meters): Width (meters): Area:
10 40 400
20 30 _
25 25 625
35 15 525
40 _ _


1. Complete the table with the missing values

Answers

10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
I think

Answer:

what did you put for question 2 and 3?

Step-by-step explanation:

2.If the values for length and area are plotted, what would the graph look like?

3.How is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?

3(2x - 8) = 6 ????ii

Answers

Answer: Divide both sides by the numeric factor on the left side, then solve. x=5

What is the Absolute value of |-9-8|?

Answers

Answer:

17

Step-by-step explanation:

|-9-8|

Solve what is inside the absolute value

|-17|

Then take the non negative result

17

Answer:

17

Step-by-step explanation:

The answer is 17 there u go

0.7 (3s + 4)-1.1s = 7.9

Answers

Answer:

s = 5.1

Step-by-step explanation:

[tex]0.7 (3s + 4)-1.1s = 7.9\\[/tex]

Multiply both sides of the equation by 10

[tex]0.7\left(3s+4\right)\cdot \:10-1.1s\cdot \:10=7.9\cdot \:10\\\\= 7\left(3s+4\right)-11s=79\\[/tex]

Expand

[tex]\mathrm{Expand\:}7\left(3s+4\right)-11s:\\\quad 10s+28[/tex]

Subtract 28 from both sides

[tex]10s+28-28=79-28[/tex]

Simplify

[tex]10s=51[/tex]

Divide both sides of the equation by 10

[tex]\frac{10s}{10}=\frac{51}{10}[/tex]

Simplify

[tex]s=\frac{51}{10}\\\\Decimal = 5.1[/tex]

First multiply 0.7 by (3s+4) to get 2.1s + 2.8 and then add the 1.1s to the 2.1s and that should leave you with 1s+2.8 now you should have 1s + 2.8 = 7.9, you want to take 2.8 from both sides to bring it over to the 7.9 to make it look like 1s = 7.9 - 2.8 so now go ahead and have the 7.9 and the 2.8 subtract so you should end up with 1s = 5.1 so now you want to divide both sides by 1 and the 1s would cancel out into s and the 5.1 stays the same so now you have s = 5.1, you can always check this answer by seeing that it works so here is how you do that. Plug in your number, so you have
0.7 (3 * 5.1+4) - 1.1 * 5.1 = 7.9
here is your verification, 0.7 multiplied by all the numbers in the parentheses (3 * 5.1+4) would get you with 10.71 + 28 and you have - 1.1 * 5.1 = 7.9 so now just add the 10.71 to the 2.8 to get 13.51 and multiply the 1.1 by the 5.1 to get 5.61 and subtract the two to get 7.9 and that’s 7.9 = 7.9 so I hope this was helpful!! ^_^

why is math really hard

Answers

Answer:

Actually it is not hard. It is just the mentallity or attitude that u have towards it. Stop saying and believing that it is hard........just start doing more practice per topic everyday, 2 to 3 sums a day in a topic that u have not understood will do the trick. And above all, believe in yourself and start seeing yourself as a little math genius and never give up trying.

Step-by-step explanation:

Answer:

Math is hard because it wants us to fail.

Step-by-step explanation:

Also someone says that math stands for Mental Abuse To Humans. So...

XY = 5x, YZ = x, and XY = 25

Answers

Answer:

x=5

Step-by-step explanation:

XY=5x and 25. Therefore, 5x and 25 have the same value. 5 times 5 is 25 so x=5

Answer: 6x=25

Step-by-step explanation:

Someone please help me on this question!

Answers

Answer:

the measurement of C is 83° because AB = BE so B = A

180° (triangle ABE) - 57°(2) = 66°

180° (line AD) - 66° = 114°

180° (line BC) - 114° = 66° (angle E)

180° (Triangle DCE) - 66° - 31° = 83°

Cynthia besch  wants to buy a rug for a room that is 21 feet wide and 29 feet long. she wants to leave a uniform strip floor around the rug. she can afford to buy 345 square fee of carpeting. what dimensions should the rug have

Answers

Step-by-step explanation:

Let x be the width of the uniform strip floor around the rug.

Then the width of the rug is (21 - 2x) and the length of the rug is (29 - 2x).

(21 - 2x)(29 - 2x) = 345

609 - 100x + 4x^2 = 345

4x^2 - 100x + 264 = 0

x^2 - 25x + 66 = 0

(x - 22)(x - 3) = 0

x = 3 or x = 22 (rejected as x must be less that the width of the room)

Hence the width of the rug is 21 - 2(3) = 15 feet and the length of the rug is 29 - 2(3) = 23 feet.

HELP! this is due today

Answers

Answer:

2cm x 2cm x 2cm

∛8=2

Step-by-step explanation:

2cm x 2cm x 2cm

∛8=2

answers to every blank space is 2

Secondary School work, find the height of capsule B

Answers

This is the answer in the picture .

A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are th same length what is the value of the slope of the line where the passengers came from

Answers

Answer:

-10/-2

Step-by-step explanation:

Answer:

-10/-2

Step-by-step explanation:

Find the length of the line segment joining the points J(-4,2) and G(146,52). Round your answer to the nearest tenth if necessary
A.155.0
B.151.9
C.150.5
D.141.4
E.158.1​

Answers

Answer:

The answer is option E.

Step-by-step explanation:

The length of a line segment or the distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,2) and G(146,52)

The the length of the line segment joining the points is

[tex] |JG| = \sqrt{ ({ - 4 - 146})^{2} + ({2 - 52})^{2} } \\ = \sqrt{ ({ -150})^{2} + ({ -50})^{2} } \\ = \sqrt{22500 + 2500} \\ = \sqrt{25000} \\ = 50 \sqrt{10} \\ = 158.11388[/tex]

We have the final answer as

158.1 to the nearest tenth

Hope this helps you

Simplify the following numerical expressions.

Choose from the numbers in parentheses

|-7| - 7 =
<
2 |-7| =
( -7 )^2 =
<
-7^2 =
>
-7 -|-7| =
(-49) (14) (-14) (0) (49)

Answers

Answer:

|-7| - 7 =  0

2 |-7| =  14

( -7 )^2 =  49

-7^2 =  49

-7 -|-7| =  -14

Step-by-step explanation:

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