1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
7nadin3 [17]
2 years ago
7

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

raction is equivalent to Find the 3 original fraction. (Hint: Let the numerator of the original fraction be x)​
Mathematics
1 answer:
Julli [10]2 years ago
7 0

Answer:

  4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

__

<h3>adding 2 to each term</h3>

The new fraction is ...

  \dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

  \dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}

The original fraction is ...

  4/(4+3) = 4/7

_____

<em>Alternate solution</em>

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

  (6-2)/(9-2) = 4/7

You might be interested in
Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
maw [93]

Answer:

answer in photo

hope this helps :)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Abdul drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 296 miles?
kakasveta [241]
He would need 11.1 gallons of gas if he was/would drive 296 miles.

12 divided by 320 = .0375

.0375 x 296 = 11.1 Gallons of Gas needed to drive the distance.


8 0
3 years ago
Read 2 more answers
Find three consicutive numbers that have the sum 96
In-s [12.5K]

Answer:

31, 32, 33

Step-by-step explanation:

three consicutive numbers means 3 numbers in a row

sum 96 is the total you want to reach

31 + 32 + 33

7 0
2 years ago
The function f(t)=5tan2t does not have an amplitude and has a period of \pi<br><br> yes or no?
Bess [88]
It's multiplied by 5, so the amplitude is 5.

The period is pi/2 since it's tan(2t) 
8 0
3 years ago
Read 2 more answers
This is my question please help
Olin [163]
28cm is correct answer
3 0
3 years ago
Read 2 more answers
Other questions:
  • A sales man is paid a basic wage of $225 per week. In addition he is paid a commission of 3% on the value of goods he sells abov
    6·1 answer
  • (PLZ HELP 20pts)If the graph of function g is 6 units below the graph of function f, which could be function g? f(x)=-2x+7
    14·1 answer
  • What is 17.46872 rounded to the nearest thousandth ?
    14·2 answers
  • How do write 3 to 4 2 other ways?
    15·1 answer
  • lana is putting a lace trim arount the border of a circular tablecloth. the tablecloth has a diameter of 1.2 meters. to the near
    14·1 answer
  • I’m just doing it for my niece but who knows it
    7·1 answer
  • A cup and saucer together cost N$ 20.50 . A cup and two saucer cost N$ 27.00 . Find the cost of the cup and the saucer.
    6·1 answer
  • I need help, am not good at this
    14·1 answer
  • A dog named Bailey buried his bone 7/10 foot underground. A dog named Daisy buried her bone 11/15 foot underground. Which dog du
    12·2 answers
  • An 8 pack of light bulbs cost $22.40 what’s the unit price
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!