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
FromTheMoon [43]
2 years ago
13

Express each of the following as a fraction in its simplest form

Mathematics
2 answers:
Yanka [14]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

(a)

Given

\frac{y}{3} + \frac{y+3}{5}

The common denominator is 15 ( the LCM of 3 and 5 )

Multiply numerator/ denominator of first fraction by 5

Multiply the numerator/ denominator of second fraction by 3

= \frac{5y}{15} + \frac{3y+9}{15} ← add numerators , leaving denominator of 15

= \frac{5y+3y+9}{15}

= \frac{8y+9}{15}

(b)

Given

\frac{3x}{8} - \frac{x+5}{4}

The common denominator is 8 ( the LCM of 8 and 4 )

Multiply numerator/ denominator of second fraction by 2

= \frac{3x}{8} - \frac{2(x+5)}{8} ← simplify numerators leaving denominator of 8

= \frac{3x-2x-10}{8}

= \frac{x-10}{8}

saveliy_v [14]2 years ago
5 0

Answer:

a) (8y + 9)/15.

b) (5x + 10)/8.

Step-by-step explanation:

(a)  y/3 + (y + 3)/5

     The LCD of 3 and 5  is 15 so we have:

     5y/15 + 3(y + 3)/15

      = (5y + 3(y + 3)) / 15

     = (5y + 3y + 9)/15

     = (8y + 9)/15.

b)  3x/8 + (x + 5)/4

     The LCD of 4 and 8  is 8 so we have:

     3x/8 + 2(x + 5)/8

      = (3x + 2x + 10) / 8

      = (5x + 10)/8.

     

You might be interested in
PLZ HELP ME!!!!!!!!!!!!!! 20 pOINTS
Bad White [126]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(question is on picture linked)
nalin [4]

here y+13=15

so we got y=2

then y+13+x+12=30

then we will get x=3

7 0
3 years ago
The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).
s344n2d4d5 [400]
Answer: (-2, 2) and (4, 8)

There are two solutions because the two functions cross each other twice.
7 0
3 years ago
If a man can run p miles in x minutes, how long will it take him to run q miles at the same
igomit [66]
D = p*x = q*t => t = (p*x)/q;
3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=10%20-%206v%20%3D%20" id="TexFormula1" title="10 - 6v = " alt="10 - 6v = " align="absmiddle" c
MariettaO [177]
4v
You would subtract 10-6
Then you would add the v
6 0
3 years ago
Other questions:
  • X1 + X2 Y1 + y2 2 2. 2 Find the coordinate of the midpoint, M, of segment AB with endpoints A(-4, -8) and B(-1, 4). (1 Point)​
    13·1 answer
  • Which number line can be used to find the distance between (4, -1) and (8,-1)?
    11·2 answers
  • Solve the equation. If necessary, round your answer to the nearest tenth.
    13·2 answers
  • Any help will do I can’t answer 30-35 I’m confused and I keep getting t wrong
    11·1 answer
  • How do you solve multiplication and division problems independent practice worksheet
    12·1 answer
  • Solve the inequality. 2(4x – 3)-3(3x) + + 5x?​
    14·1 answer
  • I need help with a math question ASAP!! please Below is a screenshot of the problem
    14·2 answers
  • What is an equation in point-slope form of the line that passes through (−1,−4) and (2, 5)? pls pls pls help asap
    11·2 answers
  • HELPPP ME I NEED HELP
    7·1 answer
  • Simplify please help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!