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
Andreyy89
3 years ago
11

The denominator of a fraction is 10 more than its numerator.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

\frac{x}{x+10}

When 1/3 is added to this fraction,

\frac{x}{x+10}+\frac{1}{3}

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

\frac{3(x+10)-15}{3(x+10)}

Therefore, it becomes

\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}

Taking LCM on left side

\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}

Multiplying both sides by 3(x+10)

3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

You might be interested in
Carrie filled her watering can with 5 liters
slamgirl [31]

Answer:The answer is D 3,500 milliliters.

Step-by-step explanation:

4 0
3 years ago
Which Theroms can be used to determine that the triangles are congruent <br>​
Ivanshal [37]

Answer:

SAS

Step-by-step explanation:

side GF is shared.

angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles

6 0
3 years ago
Find the value of x to the nearest tenth​
xz_007 [3.2K]

Answer:

9.0

Step-by-step explanation:

x = 7 / cos 39°

= 7 / 0.7771

= 9.0

4 0
3 years ago
To be able to do the problem 5(10 + 4) mentally, Zack does 50 + 20 instead of 5(14).
Maurinko [17]
He used distributive property 
7 0
3 years ago
Pls help ASAP !!
Nutka1998 [239]

Answer:

1. The corresponding sides of the two triangles must be proportional.

Step-by-step explanation:

Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.

5 0
2 years ago
Other questions:
  • To find the sum or total of two numbers, we ? <br> ( add, subtract,multiply,divide)
    5·2 answers
  • The average lion runs 50 miles per hour what is its speed in feet-per-second?
    7·1 answer
  • Write the equation of the circle with the given center and radius: (h,k)= (-4,6), r=7
    8·1 answer
  • I really need some help .............
    14·2 answers
  • What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)
    9·2 answers
  • Can anyone help check if my calculation is correct or wrong?
    7·2 answers
  • A test for tuberculosis was given to 1000 subjects, 8% of whom were known to have tuberculosis. For the subjects who had tubercu
    12·1 answer
  • What’s the answer <br> I will give you brainlest
    10·1 answer
  • Pls help me with the question
    14·1 answer
  • Helppppp pleaseeee c: for brainliest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!