Simplifying fractions Sheet 2

Simplifying Fractions Sheet 2

Answers

Answer 1

Simplifying fractions:

1) [tex]\frac{14}{20} =\frac{7}{10}[/tex]                  2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]

3) [tex]\frac{9}{12} =\frac{3}{4}[/tex]                  4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]

5) [tex]\frac{8}{18} =\frac{4}{9}[/tex]                  6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]

7) [tex]\frac{12}{16} =\frac{3}{4}[/tex]                  8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]

9) [tex]\frac{15}{35}=\frac{3}{7}[/tex]                 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]

11) [tex]\frac{11}{55}=\frac{1}{5}[/tex]                12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]

13) [tex]\frac{16}{26} =\frac{8}{13}[/tex]              14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]

15) [tex]\frac{18}{24} =\frac{3}{4}[/tex]               16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]

17) [tex]\frac{4}{32} =\frac{1}{8}[/tex]               18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]

Hope this helps :)


Related Questions

4.6w - 3 + 6.4x - 1.9y

Answers

Answer:

What do you want me to do? Its already simplified to its lowest terms

Answer:

w = 0.652173913 + -1.391304348x + 0.4130434783y

Step-by-step explanation:

I am pretty sure this is it.

Find the value of f(-7)

Answers

Answer:

-7

Step-by-step explanation:

Look at picture body :\

What is the Factors of 63

Answers

Answer:

Factors of 63 ; 1 , 3 , 7 , 9 , 21 , 63

I hope I helped you^_^

Answer:

1, 3, 7, 9, 21, 63

Step-by-step explanation:

factors of 63 = 1, 3, 7, 9, 21 and 63

The sum of a number and 3 is 6 less than twice that number.

Solve

Answers

Answer:

there are two operation end modes [ = , < ]

so, it remains an expression

Step-by-step explanation:

let the number be x :

[tex] \{(n + 3) = 6 \} < 2n[/tex]

The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.

Here,

The written expression, ''The sum of a number and 3 is 6 less than twice that number''.

We have to solve this expression.

What is Mathematical expression?

An expression consists of one or more numbers or variables along with one more operation.

Now,

Let a number is x.

By the given written expression, we can write the mathematical expression as,

x + 3 = 2x - 6

By solving;

x + 3 = 2x - 6

3 + 6 = 2x - x

9 = x

x = 9

Hence, the value of written expression is x.

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Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...

Answers

Answer:

a + 4(n-1)

Step-by-step explanation:

The first term is a+4, the second term is a+8, the third term is a+12, etc.

A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as

4 * (n-1) + a

Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 152 km with 95 miles. If k represents the number of kilometers and m represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.


Oscar wrote the equation k=1.6m, and he said that the unit rate 1.6/1 represents kilometers per mile.


Maria wrote the equation k=0.625m as her equation, and she said that 0.625 represents kilometers per mile.

Answers

9514 1404 393

Answer:

  Oscar

Step-by-step explanation:

On the face of it, you can see that the number of kilometers representing a given distance is greater than the number of miles. (152 > 95)

This means the constant of proportionality (a) in the equation ...

  k = am

must be greater than 1. You can find its value by solving this equation for 'a' and using the table entries for k and m:

  a = k/m = 152/95 = 8/5 = 1.6

The correct relation is ...

  k = 1.6m . . . . . Oscar wrote the correct equation

HELP PLSSS ASAP pls

Answers

Answer:

first choice - it is dilated by 1/3

Step-by-step explanation:

write out your triangles points

A (-12,12)   A' (4, -4)

B (-3, 12) .  B' (1, -4)

C (-9,6) .    C' (3, -2)

what is 392,153 rounded to the nearest ten thousand

Answers

Step-by-step explanation:

392,153 rounded to the nearest ten thousand is 390,000

Answer:

I believe it is 390,000

Step-by-step explanation:

six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?

Answers

Answer:

2/3 quarts

Step-by-step explanation:

Paint used by 9 artists = 6 quarts

So, paint used by 1 artist if shared equally among the 9 artists

= 6 quarts/9

= 2/3 quarts

= 0.6666...... quarts

Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.

To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist

To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.

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Write 87 tens and 2 ones as a base-ten number.

Answers

Therefore (87)₁₀ = (1010111)₂
Take any base 10 number. Divide it by 2.

87 tens and 2 ones as a base-ten number any base 10 number and Divide it by 2. Therefore (87)₁₀ = (1010111)₂

How to identify the place value of a digit in a number?

The place values on left of decimal point start as ones, tens, hundreds, and so on.

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on

The tens means multiply by 10..

The tenth means tenth part of that digit which is that digit divided by 10...

we are asked to Write 87 tens and 2 ones as a base-ten number.

Take any base 10 number and Divide it by 2.

Therefore (87)₁₀ = (1010111)₂

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which ordered pair represents the x-intercept for the linear equation, 3y+4×=8?
(0, 8/3)
(0, 2)
(2, 0)
(8/3, 0)​

Answers

Answer: Third Choice. (2, 0)

Step-by-step explanation:

STEP ONE: Look over the given choice.

When the value of y is 0, the value of x would be the x-intercept.

The given choice are the following:

(0, 8/3)(0, 2)(2, 0)(8/3, 0)

As we can see from the choices, the first two do not have the value of y as 0, therefore, they can be automatically neglected. Then, we are left with two choices left.

STEP TWO: Substitute the remaining values into the given equation

Given point = (2, 0)

3y + 4x = 8

3 (0) + 4 (2) = 8

0 + 8 = 8

8 = 8 [tex]\boxed {TRUE}[/tex]

Given point = (8/3, 0)

3y + 4x = 8

3 (0) + 4 (8/3) = 8

0 + 32 / 3 = 8

32/3 ≠ 8 [tex]\boxed {FALSE}[/tex]

Therefore, the ordered pair that represents the x-intercept is (2, 0).

Hope this helps!! :)

Please let me know if you have any questions

Rates 13 feet in 5 steps

Answers

Answer:

[tex]2.6\frac{feet}{step}[/tex] or 2.6 ft/step

Step-by-step explanation:

In order to find the average number of feet traveled per step, divide the total number of feet traveled by the total number of steps taken:

[tex]\frac{13 feet}{5 steps}=\frac{13}{5}\frac{feet}{step}=2.6\frac{feet}{step}[/tex]

Therefore, for each step taken 2.6 feet are traveled (on average). We can say this as 2.6 feet per step or 2.6 ft/step.

The music store sold 12 trumpets and 19 clarinets last month.

a) Write an equation to show the amount of money earned on trumpet and clarinet sales last month. Define your variables.

b) If clarinets sell for $139.95 and the store made $4578.45 from sales on the two instruments, find the price of a trumpet.

Answers

Answer:

a) let x = price of 1 trumpet

let y = price of 1 clarinet

12x + 19y

b)

12x + 19(139.95) = 4578.45

12x + 2659.05 = 4578.45

12x = 1919.4

x = $159.95

What is the equation of the line that passes through (0, 3) and (7, 0)?
A. (Image 093047)
B. (Image 093055)
C. (Image 093108)
D. (Image 093116)

Answers

Image A

Y intercept is positive 3 so it can’t be B or C. To get from (0, 3) to (7, 0) you need to go down 3 and right 7. Image A has the only slope that can do that

Answer:

[tex]y = -\frac{3}{7}x + 3[/tex]

Step-by-step explanation:

In order to find the equation of a line, we need to first find the slope. Slope is represented by the formula:

[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

where (x1, y1) and (x2, y2) are point on the line. In this case, we can use the points (0, 3) and (7, 0):

[tex]\frac{0-3}{7-0} = -\frac{3}{7}[/tex]

The point (0, 3) is the y-intercept, so given an equation in the form y = mx + b, 3 would be b and we already calculated the slope, which is m. We can plug these values in to get:

[tex]y = -\frac{3}{7}x + 3[/tex]

Determine how many fish food cubes with edges of one-fourth inch can be packed along each side of the shipping box

Answers

Answer:

2340

Step-by-step explanation:

Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. Theresa received an 88 on the test. Which percentile is she in

Answers

Answer: 60th

Step-by-step explanation:

First order the values from least to greatest:

47, 49, 61, 76, 79, 88, 92, 92, 94, 94.

We can note that the 88 is the 6th of 10 values, so 6/10 = 0.60 or the 60th percentile.

Theresa is in 60 percentile.

What is standardized test?

A test that is administered and scored in a consistent, or "standard," manner is known as a standardized test. The questions and interpretations on standardized tests are designed to be consistent and are administered and scored in a predetermined, standard manner.

A standardized test is one in which the same test is given to all test takers in the same way and graded in the same way for everyone.

Given scores

88, 49, 92, 47, 61, 94, 94, 76, 79, and 92.

arrange in increasing order,

47, 49, 61, 76, 79, 88, 92, 92, 94, 94

Theresa got 88, which is sixth term

percent = term x 10

 percent = 6 x 10 = 60%

Hence, she is in 60%.

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9.8 less than the product of 37 and t

Answers

Answer:

37t-9.8

hope it helps!!!!!!

Help!!! What is the area of this??

Answers

Answer:

37.44

Step-by-step explanation:

area of rectangle + area of triangle and tada

Which fraction is equivalent to 6/10

Answers

Answer:

12/20

Step-by-step explanation:

Janet paid for her prescriptions costing $37.13. She paid with a $50 bill. How much change did Janet get back? (Show your work)

Answers

Answer:

$12.87

Step-by-step explanation:

50.00

-37.13

-----------

12.87

So her prescriptions cost $37.13 and she paid $50. You’re finding how much change Janet will get back. All you have to do here is to take the amount of money she used to pay and subtract it with the amount she needs to pay.
So $50 (or $50.00 since some people understand it better when there are the same amount of digits) minus $37.13.
$50.00
-$37.13
—————
$12.87
Janet got $12.87 back.

Write the number in expanded form 33,240

Answers

Answer:

Standard Form:

33,240

Expanded Notation Form:

 33,240 =

 30,000  

+ 3,000  

+ 200  

+ 40  

+ 0  

Expanded Factors Form:

   33,240 =

 3 × 10,000  

+ 3 × 1,000  

+ 2 × 100  

+ 4 × 10  

+ 0 × 1  

Expanded Exponential Form:

 33,240 =

       3 × 10^4

+ 3 × 10^3

+ 2 × 10^2

+ 4 × 10^1

+ 0 × 10^0

Word Form:

33,240 =

thirty-three thousand two hundred forty

Write y = x + 7 in standard form using integers.

Answers

Answer:

y=x+7

y=7x+y

=7xy

Step-by-step explanation:

right answer is 7xy

what fraction of a minute is 50 seconds​

Answers

[tex]\large \mathfrak{Solution : }[/tex]

we know,

[tex]60 \: \: sec = 1 \: \: min[/tex]

[tex]1 \: \: sec = \dfrac{1}{60} \: \: min[/tex]

[tex]50 \: \: sec = \dfrac{1}{60} \times 50 \: \: min[/tex]

[tex]50 \: \: sec = \dfrac{5}{6} \: \: min[/tex]

50 seconds is 5/6 th of a minute.

What is 52,236 in standard form?​

Answers

Answer:

5.2236 X 10^4

Step-by-step explanation:

52,236 in standard form is 5.2236 X 10^4

If f(x)=-3x-5andg(x)=4x-2,find(f+g)(x)

Answers

Answer:

x -7

Step-by-step explanation:

f(x)=-3x-5

g(x)=4x-2

(f+g)(x)= -3x-5+4x-2

Combine like terms

          = -3x+4x  -5-2

          = x -7

Answer:

[tex]x - 7[/tex]

Step-by-step explanation:

[tex]f(x)=-3x-5 \\ g(x)=4x-2 \\ (f+g)(x) = - 3x - 5 + 4x - 2 \\ = x - 7[/tex]

4. -7 = 3k - 3-7
this one to please lol

Answers

Answer:

7/3 =k

Step-by-step explanation:

4. -7 = 3k - 3-7

Combine like terms

-3 = 3k-10

Add 10 to each side

-3+10 = 3k-10+10

7 = 3k

Divide each side by 3

7/3 = 3k/3

7/3 =k

Answer:

7/3

Step-by-step explanation:

4 - 7 = 3k - 3-7    

=> -3 = 3k - 10    

=> -3 + 10 = 3k  

=> 7 = 3k    

=> 7/3 = k

=> k = 7/3

Simplify show all steps 30 POINTS

Answers

Answer:

(y+4) /2

Step-by-step explanation:

(y²-16)/(2y+6) × (y+3)/(y-4) =

(y+4)(y-4) / 2(y+3) × (y+3)/(y-4)

=> eliminate all (y-4) and (y+3)

so, we get :

(y+4)/2

Solve the equation. x + (–6) = –9

Answers

Answer:

-3

Step-by-step explanation:

9514 1404 393

Answer:

  x = -3

Step-by-step explanation:

Undo the addition of -6 by adding the opposite of that to both sides of the equation.

  x + (-6) +(+6) = (-9) +(+6)

  x -6 +6 = -9 +6

  x = -3

The university of Michigan football stadium can hold 107,601 people. Michigan states football stadium can hold 75,001 people. 51,000 people can fit in the football stadium at the university of North Carolina and 40,004 people can fit in duke universities stadium which is also in North Carolina. How many more people can fit in the stadiums in Michigan combined than in the stadiums in North Carolina combined

Answers

Answer:

56,601

Step-by-step explanation:

Help please! Morgan’s Laws!

Answers

Answer:

Please Mark me as a brainlist

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