addition of unlike fractions 5/3 + 7/4​

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}} [/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \frac{5}{3} + \frac{7}{4}}} [/tex]

Convert the given fractions into like fractions.

To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.

To find out the L.C.M of given numbers,

First of all, find the prime factors of each numbers.

3 = 3 × 1

4 = 2 × 2 × 1

Take out the common prime factor i.e 1

Also take out the other remaining prime factors i.e 2 , 2 and 3

Now, multiply those all prime factors and obtain L.C.M

= 1 × 2 × 2 × 3 = 12

L.C.M of 3 and 4 = 12

[tex] \dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{20 + 21}{12}}} [/tex]

Add the numbers : 20 and 21

[tex] \dashrightarrow{ \sf{ \frac{41}{12}}} [/tex]

Convert the improper fraction into mixed fraction

[tex] \dashrightarrow{ \boxed{\sf{3 \frac{5}{12} }}}[/tex]

Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.

Hope I helped!

Best Regards!

~ TheAnimeGirl

Answer 2

Answer:

3⁵/12

Step-by-step explanation:

5/3+7/4=?

Get the LCM of the denominator which is 12

5×4=20

7×3=21

The fractions are now 21/12+20/12=41/12

Simplify 41/12 to get

3 whole number and 5 over 12 as a fraction


Related Questions

73% of what is 7.1?
a. 5.2
b. 518.3
C. 9.7
d. 38

Answers

Answer:

Answer is 9.7

I used calculator

The answer would be B, as 73% of 71 equals 51.83%

Find the distance between (11, 10) and (1,3). Round your answer to
the nearest tenth.

Answers

Answer:

              12.2

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(1-11)^2+(3-10)^2}=\sqrt{(-10)^2+(-7)^2}=\sqrt{149}\\\\d=12.2065...\approx12.2[/tex]


distance, midpoint, and angle measurement a walk in the park

Answers

Answer:

Step-by-step explanation:

The distance between to things is how far apart those two things are.

The Distance Formula is

d = √[(x1 - x2)² + (y1 - y2)²]

Midpoint: This is the point that bisects a segment in the middle.

The Midpoint formula is:

M = [(x1 + x2)/2, (y1 + y2)/2]

Angle is a point where two straight lines meet.

find the slope of the line containing the points (3,-2) and (-1,6)​

Answers

Answer: the answer is -2

Step-by-step explanation: use slope formula

of poopp chunkyh rudntp ejid

What is the equation for the kind of reflection?

Answers

Answer:

A vertical reflection is given by the equation y=−f(x) y = − f ( x ) and results in the curve being “reflected” across the x-axis. A horizontal reflection is given by the equation y=f(−x) y = f ( − x ) and results in the curve being “reflected” across the y-axis.

Given a circle with endpoints of a diameter at –10 – 1i and 6 + 11i, answer the questions below. 1. The center of the circle is at ---+ --- i.

Answers

The center of the circle is at -2 + 5i.

What are Complex Number?

Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are actual numbers and I is a fictitious number called a "iota."

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

Given:

Diameter = –10 – 1 i = (- 10, - 1)

6 + 11 i = (6, 11)

Given that we are aware that these are the diameter's endpoints, it follows that the circle's center is the place that lies midway between the endpoints.

Then,

x = (-10 + 6) / 2

  = - 4 / 2

   = -2

y = (- 1 + 11) / 2

   = 10 / 2

   = 5

Hence, the center is located at (- 2, 5).

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-3 + (-7)
Someone give me an explanation but use another example to show me

Answers

-3+-7....The answer is minus 10

Please help! will give brainliest!!

Answers

Answer:

c

Step-by-step explanation:

tHE ANSWER IS C

Which of the following expresses the sum of 54 and 30 as a product? * O 6 (54 + 30) O 6(9+5) O 9 (6+5) O 9 (54 + 30)​

Answers

6(9+5)

Step-by-step explanation:

27. 8 minus the product of 9 and r

Answers

8-9r is the answer to this

A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?

Answers

The answer is (4x + 3) (x + 4)

The width of the rectangle with an area x² = 19x + 12 is (4x + 3).

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×widh).

Given, A rectangle has an area of 4x² + 19x + 12 and a length of (x + 4).

∴ width of the rectangle is = (4x² + 19x + 12)/(x + 4).

Or, we know that the product of two linear equations is a quadratic so,

4x² + 19x + 12.

4x² + 16x + 3x + 12.

4x(x + 4) + 3(x + 4).

(x + 4)(4x + 3).

So, the width of the rectangle is (4x + 3).

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what steps do i take to solve this?​

Answers

Answer:

B; The second answer

Step-by-step explanation:

The question is asking about the associative property of addition. This involves the rearranging of the parenthesis. If you were to solve the given equation, and solve the the answer, then you will get the same answer. In this property, it says that you will get the same result if you were to move/switch the parenthesis from the values; This means that order doesn't matter.

Which of the following are equivalent to y’z-4?
Notebo...
Select all that apply.
ay?
2
4
Quarter
Quarter
b. y? (-24)
C.
2
y
d
yy
CE

Answers

Answer:

a is the answer because when x⁴ will go up it will be x-4

The answer is a hope it helps

PLEASE HELP! this is due today!

Answers

Answer:

For question 9 = 54

Step-by-step explanation:

54 + 67 = 121

67 - 54 = 13

Answer:1.)k+2x  2.)54  3.) i think is n+n=145

Step-by-step explanation:

A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each
basic model and $50 to buy each upgraded model from the phone company, On Tuesday, the store has $1,800 in
sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models
did the store sell on Tuesday?
O 6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones

Answers

Answer: A, 6

Step-by-step explanation:

Edg

Valentino wants to estimate the product (5.2)(9.9). Which expression shows each factor rounded to the nearest whole
number?
(5)(9)
(6)(10)
(6)(9)
(5)(10)

Answers

Answer:(5)(10)

Step-by-step explanation:

Answer:

(5)(10)

Step-by-step explanation:

What is the sign of 39 11/13 + (-41 1/13) ?

Answers

Answer:

negative

best of luck!

The sign of the expression is Negative, the correct option is B.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

39 11/13 + (-41 1/13)

[tex]=\rm 39\dfrac{11}{13} -41\dfrac{1}{13}\\\\=\dfrac{518}{13} - \dfrac{534}{13}\\\\=\dfrac{ 518 - 534} {13}\\\\=\dfrac{ -16}{13}\\\\=- 1 \dfrac{3}{13}[/tex]

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Jerry bought a coat on sale for 30% off. The sale price for the coat was $63, what is the regular price for the coat?

Answers

Answer:

The original regular price for the coat is $90

Step-by-step explanation:

The given information in the question are;

The percentage that was off (removed) from the sale price = 30%

The sale price at which Jerry bought the coat = $63

Whereby the regular price = P, we have;

P - 30% of P = $63

P - 0.3×P = $63

P×(1 - 0.3) = $63

0.7·P = $63

P = $63/0.7 = $90

Therefore, the regular (original) price for the coat = $90

The coat regular price at which the coat is displayed is at $90.

Decide whether 0 is a solution of the inequality: a.) 2x – 1 9 c.) x – 3 > 1

Answers

Step-by-step explanation:

How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

I need help with these two problems please

Answers

Problem 2

Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.

Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.

Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.

======================================================

Problem 3

The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.

The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.

If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF

Then we can say,

GH = GN + NH

GH = EF + EF

GH = 2*EF

5,432 to nearest tens​

Answers

5430. Since 2 is smaller than 5, we will not round 32 to 40.

A 28 ​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is four times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.
What is the length of the first​ piece?

Answers

Answer:

4

Step-by-step explanation:

4 (First piece)

4*2=8(Second piece)

4*4=16

16+8+4=28

PLEASE HELP WILL MARK AS BRAINLIEST THE QUESTION IS BELOW

Answers

Answer:

Step-by-step explanation:

First you have to split the shape into 2. I split the box so that the little one's length is Z and width is x. Find the area of both boxes:

Box 1:

Z x X = ZX

Box 2:

Y x (Z + X) = Y(Z + X)  

So the overall area of the box is:

ZX + Y(Z + X)

I'm not quite sure how to explain this without pictures to show you but i hope this helps. Let me know if you have any questions

I don’t exactly know what the answer is. I would appreciate it if someone could help :)

Answers

Answer:

d

Step-by-step explanation:

its inverse so it will be the oppisite of 2/5

Please help me

Which of the following is not equivalent to
3/4

A. 0.75
B. 3:4
С. 75%
D. 4:3

Answers

Answer:

C: 75%

D. 0.75

Step-by-step explanation:

Both numbers are the same and they both are equivalent to 3/4.

Answer:

C. 75%


D. 0.75

5. Theresa decides to donate money to cancer
research each year. Her brother, Tony, also decides
to contribute. Together, they donate $1,000 per
year to cancer research. If Tony is able to donate
1 1/2 times the amount that Theresa is able to
donate, what is the amount in dollars that Tony
will donate after 5 years, assuming the amount
and proportions remain the same cach year?
A. $2.000
B. $2.100
C. $2.450
D. $3.000
E. $3.600

Answers

Answer:

3000

Step-by-step explanation:

Tony will donates $3000 after 5 years.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Donated amount= $1000

Tony is able to donate 3/2 times the amount that Theresa donates.

let Theresa donates x dollar each year

So, x+ 3/2x = 1000

5x/2 = 1000

5x = 2000

x= 400

Thus, Tony donate = 3/2 x 400 = $600

Hence, After 5 years Tony will donate= 600 x 5= $3000

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Evaluate the function f(x)=3x+12 with x+6.

f(x+6) = 6x + 60

f(x+6) = 2x - 30

f(x+6) = 3x + 30

f(x+6) = 30

Answers

Answer:

f(x+6)= 3x + 30

Step-by-step explanation:

Whenever you have to evaluate a function with a certain value, replace the variable x with a certain value. In this case, substitute x with the value of (x+6). You get the equation f(x+6)= 3(x+6) + 12, which simplifies into f(x+6)= 3x + 18 +12, which further simplifies into f(x+6)= 3x + 30.


Isabel wrote 10 letters to friends each month for x months in a row. Write an expression to show how many total
letters Isabel wrote.

Answers

Answer:

10x

X = Months

10 = letters each month

What is the value of 4s2+10 if s=9?

Answers

Answer:

82

Step-by-step explanation:

4x9=36x2=72+10=82

Answer:

82

Step-by-step explanation:

Plug in the 9 for s

4(9)2+10

Remember PEMDAS

Parentheses first, then multiply the 2

72+10=82

para alumbrar un parque, se colocan luminarias a lo largo de una longitud de 100 metros, si la primera se coloca en el metro 1, la siguiente en el metro 4, la que sigue en el metro 7, y así sucecibamente. en las siguientes posiciones se colocará una luminaria exepto en el metro: a)13 b)19 c) 21 d)28 ayudaaaaaaa​

Answers

Answer:

c)21

Step-by-step explanation:

"To light a park, luminaries are placed along a length of 100 meters, if the first is placed in meter 1, the next in meter 4, the next in meter 7, and so on. in the following positions a luminary will be placed except in the subway:

a)13 b)19 c) 21 d)28? "

-------------

Luminaries position:

1, 4, 7, ...

It makes an AP with the first term of 1 and common difference of 3

The formula for this AP is:

aₙ = 1 + 3(n-1) = 1 + 3n - 3 = 3n - 2

From the given options, only one is not in the same format:

c) 21

because

21 = 3n - 2 ⇒ 3n = 23 and n= 23/3 is not an integer

Answer is: c) 13

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