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
natali 33 [55]
2 years ago
6

What is is 1/4 + 9/10y -3/5y +7/8 written in simplest form?

Mathematics
2 answers:
svp [43]2 years ago
6 0

Answer:

3 • (4y + 15)

-----------------  

      40  

Step-by-step explanation:

Long explanation get ready

STEP

1

:

           7

Simplify   —

           8

Equation at the end of step

1

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

2

:

           3

Simplify   —

           5

Equation at the end of step

2

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

3

:

            9

Simplify   ——

           10

Equation at the end of step

3

:

   1      9          3y     7

 ((— +  (—— • y)) -  ——) +  —

   4     10          5      8

STEP

4

:

           1

Simplify   —

           4

Equation at the end of step

4

:

   1    9y     3y     7

 ((— +  ——) -  ——) +  —

   4    10     5      8

STEP

5

:

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 0 1 1

Product of all

Prime Factors  4 10 20

     Least Common Multiple:

     20

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

5.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.       5

  ——————————————————  =   ——

        L.C.M             20

  R. Mult. • R. Num.      9y • 2

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

5.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + 9y • 2     18y + 5

——————————  =  ———————

    20           20  

Equation at the end of step

5

:

  (18y + 5)    3y     7

 (————————— -  ——) +  —

     20        5      8

STEP

6

:

Calculating the Least Common Multiple :

6.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 1 1 1

Product of all

Prime Factors  20 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

6.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

6.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (18y+5)

  ——————————————————  =   ———————

        L.C.M               20  

  R. Mult. • R. Num.      3y • 4

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

6.4       Adding up the two equivalent fractions

(18y+5) - (3y • 4)     6y + 5

——————————————————  =  ——————

        20               20  

Equation at the end of step

6

:

 (6y + 5)    7

 ———————— +  —

    20       8

STEP

7

:

Calculating the Least Common Multiple :

7.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       8

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 3 3

5 1 0 1

Product of all

Prime Factors  20 8 40

     Least Common Multiple:

     40

Calculating Multipliers :

7.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

7.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (6y+5) • 2

  ——————————————————  =   ——————————

        L.C.M                 40    

  R. Mult. • R. Num.      7 • 5

  ——————————————————  =   —————

        L.C.M              40  

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

(6y+5) • 2 + 7 • 5     12y + 45

——————————————————  =  ————————

        40                40  

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  12y + 45  =   3 • (4y + 15)

Leviafan [203]2 years ago
5 0

Answer:

Step-by-step explanation:

\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y

You might be interested in
PLS HELP ME ASAP WITH NUMBER 37
Reil [10]
A) The equations are shown on the attached graph.
x = juice box cost
y = water bottle cost

B) Kara's proposed solution satisfies the first equation, but not the second one.

C) The solution is shown on the attached graph.

____
As a bonus, you get a graph for the other problem you posted. Please note this graph has some issues. Wherever there's a solid line ⌝ or ⌞ the actual shape of the graph should be the opposite one of these.

5 0
3 years ago
Starting with the number 3, build a sequence of 5 numbers.
just olya [345]

Answer:

3, 6, 9, 12, 15

adding 3 each time

or

3, 9, 27, 81, 243

multiplying by 3 each time

Step-by-step explanation:

8 0
3 years ago
HELP PLEASE!!!!
Anestetic [448]
<span>To find her take home pay, you subtract her deductions from her gross pay and then divide her take-home pay by her gross pay and then multiply by 100%.
So,
</span><span>Take-home pay = 2644-548.30=2095.70 Percent = (2095.70/2644)*100%=79.262%
So your answer is </span><span>B)79%
</span><span>Hope this helps :)
If you need anymore help with questions then feel free to ask me :D</span>
4 0
3 years ago
Find the volume of the hemisphere below leave your answers in terms of pi
Ainat [17]

Answer:

volume of the hemisphere

\frac{2}{3}  \times \pi \times  {r}^{3}  \\  \frac{2}{3} \times \pi  \times  1331 \\  = 887.3333333333\pi

7 0
2 years ago
What is the value of x when the Richter scale rating is 7.8? Round your answer to the nearest hundredth.
kvv77 [185]
4b. Laura has a 12-foot ladder. The safety instructions recommend the
base of the ladder be placed 4 feet from the base of the wall. How highwill the ladder be able to reach on the wall? WRITE YOUR ANSWER AS A SIMPLIFIED RADICAL. (HINT: Use the abbreviation sqrt to mean "square root of." For example an answer might look like 5sqrt3, and be read "five times the square root of 3".)
4 0
2 years ago
Other questions:
  • one yard company charges $50 a month to mow and edge a lawn plus $10 an hour for the worker. A second conpany charges $60 a mont
    7·1 answer
  • Given h(x)=4x-4, solve for x when h(x)=0
    8·1 answer
  • Trent has some yellow, red, green, and blue cubes. Exactly 1/5 of the cubes are yellow and 1/6 of the cubes are green. Which of
    15·2 answers
  • I need help getting the answer for the 1st question
    9·1 answer
  • AC is the diameter. Calculate the area of the sector (to the nearest whole number) created by ∠CDB.
    5·1 answer
  • SIMPLIFY THE EXPRESSION 3Y+7+4Y+3
    13·2 answers
  • 3. Nine times ten to the negative third power
    9·1 answer
  • QUICKLY PLEASE
    10·2 answers
  • Can you give me same question like this..please
    7·1 answer
  • I need help with a assignment on McGrawhill pls help its due soon
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!