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
podryga [215]
3 years ago
9

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

fraction
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is \frac{27}{31}

<u>Solution:</u>

Given that  

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is \frac{6}{7}

=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}

Solving above equation for x

=> 7(x – 3  ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}

= \frac{27}{31}

Hence the original fraction is \frac{27}{31}

You might be interested in
Leashes bought for $5.00 and sells for $12.50 what is the markup
Katen [24]

Answer:

Markup amount = sellingprice - costprice

=12.50 - 5 = 7.5 is markup

3 0
2 years ago
Read 2 more answers
) A car leaves a town at 30 miles per hour. How long will it take a second car traveling at 38 miles per hour to catch the first
Mumz [18]

Answer:

4hrs

Step-by-step explanation:

4 0
2 years ago
Consider the table of values below.
Setler [38]

Answer:

f(x)=12x-5

Step-by-step explanation:

-5 is the y-intercept since f(1)=0

the difference from -5 and 7 (7-(-5) or 7+5) is 12 and 12/1 equals 12

7 0
3 years ago
Layla and Bobby want to make 10 potholders each. If it takes one-eighth of a yard to make each potholder, how much total fabric
Yuki888 [10]
Answer: 1.25
explanation: you multiply the amount of fabric used for one by the amount of potholders
.125 x 10 = 1.25
4 0
3 years ago
Which of the following shows the graph of y = 2 l n x On a coordinate plane, a curve starts at (0, negative 2) in quadrant 4 and
enot [183]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

f(x)= 2^{-x}=\frac{1}{2^x}

  • In the above choices it is clearly defined from the above equation that output rises in the first quadrant, the value of f(x) tends to be zero and increases into another second quadrant.
  • For x = 0, y, once again, has become 1, that is the function passes the y platform at (0,1).
  • Therefore an exponential function reaches y = 0 in quadrant 1 on a coordinate plane and rises into quadrant 2.
  • (0,1) stage is the temperature at which the y-axis intersects.
8 0
3 years ago
Read 2 more answers
Other questions:
  • ared has a checking account. The bank charges 15¢ for each debit card transaction, 25¢ for each check, and $2.25 for each nonban
    15·1 answer
  • Please someone help. I am in need of a response...
    8·1 answer
  • Solve for x. Use the completing the squares
    14·1 answer
  • What is the product of 10 and 9radical 72 in simplest radical form
    5·1 answer
  • Blank is the opperation of two numbers that can be thought of as reapeated addition
    13·1 answer
  • Clover picks a positive number.What is true about the opposite of her number?
    11·2 answers
  • Whats the best book ever your opinion
    10·2 answers
  • Please help!
    13·2 answers
  • Please help, thank you!
    13·1 answer
  • Jamal recorded the daily high temperatures over a two week period
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!