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
a_sh-v [17]
3 years ago
9

If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num

erator and denominator of the same fraction its value becomes 1/3. What is the original fraction"
Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

\frac{x+2}{y+2}=\frac{1}{2}

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

\frac{x-2}{y-2}=\frac{1}{3}

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

You might be interested in
1. Find the perimeter of the figure. Each unit is 1 centimeter​
Oxana [17]

Answer:

20

Step-by-step explanation:

count the sides of the boxes for each side of the shape

8 0
3 years ago
Whats 1/5 + -4 having trouble
garri49 [273]
1/5+ (-4) is the same as 1/5 - 4
1/5-20/5
-19/5
4 0
3 years ago
Read 2 more answers
Can someone help me with this math homework please!
andrew11 [14]

Answer:

I'm pretty sure it is 0.75

Step-by-step explanation:

It is a3 so that means it is the 3rd answer in the sequence.

6 0
3 years ago
Read 2 more answers
The height of a stack of 12 pennies is 18.24 millimeters. What is the thickness of each penny.
Helga [31]
I’m not great at math so I could easily be wrong, but

I divided the 18.24 millimeters by 12 pennies and got 1.52

So if the pennies are all the same size, each penny should 1.52 millimeters.

To show work:

18.24/12=1.52
4 0
3 years ago
Why shouldn't you use double negatives? It's a riddle for my Math Class
IRINA_888 [86]

A negative times a negative is a positive. I am not sure if that's the question, but hopefully that helps if it was.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Choose what the expressions below best represent within the context of the word problem. The length of a rectangle is 12 inches
    12·2 answers
  • Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours?
    8·1 answer
  • The ratio of the sum of two numbers to the difference of the two numbers is 9. The product of the two numbers is 80. Find the nu
    12·1 answer
  • Could someone please help me with this answer please thank you
    11·1 answer
  • Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons
    12·1 answer
  • What is the circumference and area of this circle? (Use 3.14 for pi)
    6·1 answer
  • Which of the following equations has a solution that is negative?
    15·2 answers
  • Simplefly the problem 1/2x/45>61
    7·1 answer
  • M/5=3(2m+1) verbal expression
    11·1 answer
  • What is ST?<br> S<br> 30<br> V<br> Q<br> 17 T<br> 19<br> R 5<br> ST=
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!