Find the difference. Write your answer in simplest form.
11 7/16 - 4 7/12=

Answers

Answer 1

Answer:

163          

 ——— = 3.39583

 48            

Step-by-step explanation:

           47

Simplify   ——

           12

Equation at the end of step

1

:

 117    47

 ——— -  ——

 16     12

STEP

2

:

           117

Simplify   ———

           16

Equation at the end of step

2

:

 117    47

 ——— -  ——

 16     12

STEP

3

:

Calculating the Least Common Multiple

3.1    Find the Least Common Multiple

     The left denominator is :       16

     The right denominator is :       12

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 4 2 4

3 0 1 1

Product of all

Prime Factors  16 12 48

     Least Common Multiple:

     48

Calculating Multipliers :

3.2    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 = 3

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

3.3      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.      117 • 3

  ——————————————————  =   ———————

        L.C.M               48  

  R. Mult. • R. Num.      47 • 4

  ——————————————————  =   ——————

        L.C.M               48  

Adding fractions that have a common denominator :

3.4       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:

117 • 3 - (47 • 4)     163

——————————————————  =  ———

        48             48

Final result :

 163          

 ——— = 3.39583

 48            


Related Questions

what factor makes the number sentence

7x4= 4x7

Answers

Answer:

Its a very complex solution but it x

=

0

,

3

14

2

Step-by-step explanation:

Which two expressions are
equivalent to 18p-36?
(Pick two choices)
3(9p-12)
9(2p-4p)
2(9p-18)
18(p-2)

Answers

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

The equivalent expression to the expression  18p - 36 are,

9(2p - 4p) and 2(9p - 18).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 18p - 36.

We know the distributive property states a(b + c) = ab + ac.

Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.

Therefore,

18p - 36 can be written as,

9(2p - 4p) and 2(9p - 18).

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

what is 3/2=9/10k im having troble lots rly

Answers

Answer:

k=  5 over 3  =1.667

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3)/(2)-((9)/(10)*k)=0

simplify 9/10

 3      9

 — -  (—— • k)  = 0  

 2     10

simplify 3/2

 3    9k

 — -  ——  = 0  

 2    10

   Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       10

Least Common Multiple:

     10

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 = 1

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.      3 • 5

  ——————————————————  =   —————

        L.C.M              10  

  R. Mult. • R. Num.      9k

  ——————————————————  =   ——

        L.C.M             10

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:

3 • 5 - (9k)     15 - 9k

————————————  =  ———————

     10            10  

Pull out like factors :

  15 - 9k  =   -3 • (3k - 5)

-3 • (3k - 5)

 —————————————  = 0  

      10      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(3k-5)

 ————————— • 10 = 0 • 10

    10    

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (3k-5)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    3k-5 = 0  

Add  5  to both sides of the equation :  

                     3k = 5

Divide both sides of the equation by 3:

                    k = 5/3 = 1.667

one solution was found

k = 5/3 = 1.667

hope it helps sry its so long

"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?

Answers

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]

6 * 2 tenths = 1.2

7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]

6 * 7 hundredths = 0.42

The partial products are:

18 + 1.2 + 0.42

The sum = 19.62

Answer:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

Step-by-step explanation:

Please help with this question

Answers

Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

Pls help me fast! Thank you!

Answers

Answer:

-2.5

Step-by-step explanation:

Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6

Answer:

Step-by-step explanation:

PLEASE!!!

3. Determine whether the following table of values represents a linear, quadratic, or neither function. Show your calculations.

b) Explain how you know whether it is a linear, quadratic, or neither function.

Answers

Answer:

Quadratic function

Explanation:

It is not linear because the difference between y values is not constant.

([tex]10-5\neq 5-2[/tex] for example) In a linear function, the difference between y values would be constant.

Help ASAP I’m stuck

Answers

Answer:

5, 12, 6, 4, 6, 5

Step-by-step explanation:

The nearest square root to 28 is 25, which is 5.

The nearest square root to 135 is 121, which is 12.

The nearest square root to 38.7 is 36, which is 6.

The nearest cubic root to 51 is 64, which is 4.

The nearest cubic root to 200 is 216, which is 6.

The nearest cubic root to 95 is 125, which is 5.

If m 4 = 48° and m28 = 3x + 9​

Answers

Answer:

x = 109

Step-by-step explanation:

m4 =48

m =48/4

m = 12

now

m28 = 3x+9

12*28 = 3x + 9

336-9 = 3x

327/3 = x

109 = x

If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)

Answers

Find out how many times her heart beats in a min then multiply it by 525,600

The sum of 4x^3 +2x-3 and 3x^2-5x-5 is

Answers

Answer:

4x³ + 3x² - 3x - 8

Step-by-step explanation:

Step 1: Write expression

(4x³ + 2x - 3) + (3x² - 5x - 5)

Step 2: Combine like terms

4x³ + 3x² - 3x - 8

Answer:

4x^3+3x^2-3x-8

Step-by-step explanation:

Use parentheses and combine like terms.

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five months after he purchased the computer, his balance was $640. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?

Answers

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

What is the difference of 12-5i and -3 + 4i

Answers

imma follow up the answer above i don’t think it’s carrot but the color orange does have a good feel to it

Last year Essex Manufacturing paid $3500 for utilities. This year the company used energy-saving techniques to reduce the utility bills by 13% of last year's cost. What was the cost of utilities for Essex Manufacturing this year?

Answers

Answer:

$3045

Step-by-step explanation:

You need to find 13% of 3500, and subtract it from 3500.

13% of 3500 = 455

3500 - 455 = 3045

need help asap at this question so what's the area of the shaded shape ​

Answers

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

If you simplified 10/15 as a fraction what would the answer be

Answers

Answer:

2/3

Step-by-step explanation:

10/15 can be divided by 5


SOME ONE PLEASE HELP!!! I HAVE A TEST SOON AND IDK HOW TO DO THIS!!!

im my wallet i have some quarters and some dimes. i have 16 coins in all and they total $2.95. how many of each coin do i have

THANK YOU SO MUCH ILY

Answers

Answer:

8 quarters and 8 dimes

Step-by-step explanation:

Answer:

9 quarters 7 dimes they equal $2.95

what is the slope of a line that is perpendicular to the line y= -1\2x+ 5

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

10x² - x - 2 = 0
whats thr solutions in fractions

Answers

Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

:) :) :) :) :) :) :0

Step-by-step explanation:

2/5 and 1/2

he microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.


How is this number expressed in standard form?

Answers

Nan x 10^0 should be your answer

where do you put a decimal on 64

Answers

it depends what the question is

Answer:

Whats the question tho

Step-by-step explanation:

Given f(x) = 17- x?, what is the average rate of change in f(x) over the interval [1, 5]?
-6
-1/2
1/4
1

Answers

Answer: -6

Step-by-step explanation: I just took the test

paint cost 29.95 dollars per gallon, Eumya needs 12.25 gallons to complete a painting project. how much will Eumya spend on paint?

Answers

Answer

Step-by-step explanation:

(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?

Answers

Answer:

i think u forgot to add the picture bro?

Step-by-step explanation:

Graph Y equals -5/6x -4

Answers

Step-by-step explanation:

y = -5/6x - 4

(0,-4) is the y intercept

the slope is -5/6, it descends 5 and goes 6 horizontally.

Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
(2x - 20) (4x - 10)

Answers

(2x - 20) = 55
(4x - 10) = 25

Can someone plz help me asap!

Answers

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

Given: K is between H and J, HK = 2x − 5, KJ = 3x + 4, and HJ = 24. What is the value of x?

Answers

Answer: x = 5

Step-by-step explanation:

Help please! (Please do not answer with links)
Three step linear equations

8x - 10 = 4x - 30

Answers

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

I need help again..... and FAST

Answers

Answer:

b

Step-by-step explanation:

Answer: B
Why: Reason being is that if you look at the graph the most likely answer will be B.
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