MATHEMATICS MIDDLE SCHOOL

Rewrite as a simplified fraction.
2.14 (.14 being repeated) = ?

Answers

Answer 1
Answer:

Simplified fraction of 2.14(.14 being repeated) is 212/99.

What are simplified fraction?

A fraction is said to be in its simplified if the fractions in their lowest, reduced and simplest form.

Now the given fraction is 2.141414....

Let x = 2.14141414....  -------- (1)

Multiply by 100 on both sides.

100x = 214.141414....

100x = 214.141414... -------- (2)

Subtract (1) from (2),

100x - x = 214.141414... -  2.14141414....

99x = 212

Divide by 99 on both sides, we get

x = 212/99

Hence the simplified fraction is 212/99

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Answer 2
Answer:

Answer:

(212)/(99)

Step-by-step explanation:

We require 2 equations with the repeated part after the decimal point. Then subtract them to eliminate the repeating part.

let x = 2.1414... (1) ← multiply both sides by 100

100x = 214.1414... → (2)

Subtract (1) from (2)

100x - x = 214.1414 - 2.1414, that is

99x = 212 ( divide both sides by 99 )

x = (212)/(99)

That is 2.1414... = (212)/(99)

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Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wants to make a sign fromeach remaining part of the poster board. How many signs can he make?

Answers

Answer: 8


Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= (1)/(10) of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= (8)/(10)/ (1)/(10)=(8)/(10)*(10)/(1)=8

Hence, Pedro can make 8 signs.
out of the 10 his brother took two sheets out of the 10 that would leave him with 8 out of 10,left

It is about 2508 miles from Orange County in California to Orange County in Florida. With an average speed of 70 miles per hour, about how long will it take to drive from one to the other?

Answers

35.82 hours if  you go nonstop

Write the number in expanded form 742

Answers

700+40+2 is expanded form
700+40+2
^^
expanded form

Heellllpppp! Please!

Answers

Answer:

6x+25

Step-by-step explanation:

six times a number

6x

The sum of this and 25

6x+25

A patient was supposed to take 560mg of Medicine but only took 420mg. What percent of medicine did the patient take

Answers

75% because u do 420 times 100 divide it by 560 and that=75%

I NEED HELP PLEASE I NEED HELP PLEASE GAYS

Answers

Dude calm down brah gosh dude the answer is 21

Answer:

The answer is 21.

Step-by-step explanation:
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