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
SVEN [57.7K]
3 years ago
8

Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

\frac{11x}{3y}

Step-by-step explanation:

\frac{7x}{3y} + \frac{12x}{9y}

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.

You might be interested in
Please dont let this go by.. I really need help
matrenka [14]

What do you need help with?

3 0
3 years ago
Read 2 more answers
Dr. Black is standing 13 feet from the streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of ele
Thepotemich [5.8K]

13 + 9 = 22 feet

the angle is 50 degrees

 multiply 22 x tan(50) to find the height of the lamppost

22 x tan(50) = 26.21

 so the lamppost is about 26 feet tall

7 0
3 years ago
Read 2 more answers
Help please if you can
Citrus2011 [14]
It goes up each time bc its 2x2 is r 3x3 is 9 4x4 is 16 and 5x5 is 25. its each number time each number and it goes up 1 everytime. what are the options ?
7 0
3 years ago
The perimeter of a triangle is 31cm. Side one and two have an equal length, while side three is one cm shorter then twice the le
Sav [38]

Answer:side one is 8cm

Side 2 is 8cm

Side 3 is 15 cm

Step-by-step explanation:

The perimeter of a shape is the distance around the shape. The perimeter of a triangle is the sum of the sides of the triangle.

Let x represent the length of side one and side 2. Since they have equal length, the sum of their length is x + x = 2x cm

Side three is one cm shorter then twice the length of side one. This means that the length of side three would be 2x - 1

The perimeter of a triangle is 31cm. Therefore,

2x + 2x - 1 = 31

4x - 1 = 31

4x = 31 + 1 = 32

x = 32/4 = 8 cm

Side three = 2×8 - 1 = 16 - 1 = 15

3 0
4 years ago
What is the total number of outcomes for having 2 children?
nikklg [1K]

Answer:

2

Step-by-step explanation:

because I said thats what

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of a parallelogram with a height 15 cm and a base of 18 and 2/3 cm
    5·1 answer
  • What would be the vertical angles
    11·1 answer
  • Help me with this.. please
    8·1 answer
  • In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9
    7·2 answers
  • What is 0.019 written as a percent?<br><br> A. 0.00019% <br> B. 0.019%<br> C. 0.19% <br> D. 1.9%
    9·2 answers
  • If x/-2=18 then wat is equal to x
    11·1 answer
  • A negative divided by a negative is always positive.<br><br> Is positive or negative
    11·2 answers
  • What is the Area and Perimeter for tbe rectangle?
    6·1 answer
  • each day of spring break, Mohammed read 4 comic books. How many books had mohammed books. How many books had mohammed read by th
    11·1 answer
  • What is the equation of the line through (-2, 5) and (0, 3)? A. y = x - 3 B. y=x+3 C. y = -x + 3 D. y=-x-3​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!