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
vitfil [10]
3 years ago
7

Arrange the fractions in increasing order 7/15, 2/3, 11/12, 5/9

Mathematics
2 answers:
RoseWind [281]3 years ago
4 0
To compare fraction sizes, you have to make sure the denominators of the fractions are the same. You must find a number that is a multiple of all the denominators we currently have (15, 3, 12, 9)
The smallest number that fits this is 540
Now you must multiply the numerator and denominator of each fraction by the number that makes the denominator 540
So, for 7/15 , we multiply the top and bottom by 36, since you need to multiply 15 by 36 to get 540. This means the fraction you end up with is 252/540
For 2/3, we multiply the top and bottom by 180, since you need to multiply 3 by 180 to get 540.This means the fraction you end up with is 360/540
For 11/12, we multiply the top and bottom by 45, since you need to multiply 12 by 45 to get 540. This means that the fraction you end up with is 495/540
For 5/9, we must multiply the top and bottom by 60, since you need to multiply 9 by 60 to get 540. This means that the fraction you end up with is 300/540

Now that the hard part is out of the way, you have four fractions: 252/540, 360/540, 495/540 and 300/540. Now, you can arrange the fractions in ascending order just based on their numerator. 
So, the order would be: 252/540, 300/540, 360/540, 495/540

Now, for the final step, just convert them back to the original fractions.
So, the final answer is:
7/15, 5/9, 2/3, 11/12

Hope I helped!! xx

Oksana_A [137]3 years ago
4 0
2 ways to do this, the official method which involves finding a common denominator or to do it through mental math

Common denominator.
You want to convert all the fractions so that they have a common denominator, once they have a common denominator, then you can just compare the numerator
If we look at the denominators given, 15,3,12,9, through prime factorization, you can determine that the least common denominator would be 3x3x4x5 which is 120

convert each fraction to have a denominator of 180
7/15 *12/12 = 84/180
2/3 *60/60 =120/180
11/12*15/15 = 165/180
5/9*20/20 = 100/180

increasing order of 84,120,165,100 would be 84,100,120,165
which is equivalent to
7/15 5/9, 2/3,11/12


now, mental math/comparison method
you need to know that 1/2 is less than 2/3 and 2/3 is less than 1

now, 7/15 is very close to 1/2 but slightly lower since 7.5/15=1/2
11/12 is very close to 1 but slightly smaller by 1/12
and 5/9 is very close to 2/3 but slightly smaller, but remember 2/3 is greater than 1/2 so 5/9 is greater than 1/2

so the order based off these comparison would be
7/5,5/9, 2/3, 11/12
because its the equivalent of comparing
1/2,2/3,2/3,1
You might be interested in
A 2-liter bottle of juice costs $2.80. A box containing six 12-liter bottles sells for $3.90. Which option has a higher cost per
barxatty [35]

Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.

Step-by-step explanation:

Step-by-step explanation:  Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.

We are to select the option that has a higher cost per liter.

We will be using the UNITARY method to solve the given problem.

Option (1) :  

The cost of 2 liter bottle of juice = $2.80.

So, the cost of 1 liter bottle of juice will be

Option (2) :  

The cost of six 12 liters bottle of juice = $3.90.

So, the cost of 1 liter bottle of juice will be

Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.

And, the required cost is $1.40 per liter.

7 0
2 years ago
A+5=5a+5 how do i do this problem
Natali5045456 [20]

Answer:

0 = a

Step-by-step explanation:

The first thing to do is subtract 5 from both sides.

a + 5 = 5a + 5

   - 5          - 5      

The 5's cancel out.

Now we have a + 0 = 5a

You next subtract the a from both sides.

a + 0 = 5a

-a          -a

0 = 4a

Lastly would to get a by itself so then we divide 4 from both sides

0 = 4a

_     _  

4     4

0 = a

5 0
2 years ago
Patricia is making two sizes of hamburgers: 0.5 pound and 0.25 pound. How many of each size of hamburger could she make with 3.7
e-lub [12.9K]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of hamburgers of 0.5 pounds

y-----> the number of hamburgers of 0.25 pounds

we know that

The inequality that represent the situation is equal to

0.5x+0.25y\leq3.75

The solution of the inequality is the triangular shaded area

see the attached figure

3 0
3 years ago
Plz help i need helppppppp
Goshia [24]

Answer:

1) 36

b) 5

c) 3.0

Step-by-step explanation:

1) The recursive formula that defines the given sequence is

a_1=12 \\  a_n=a_{n-1}+4.

That means we keep adding 4 to the subsequent terms:

The sequence will be:

12,16,20,24,28,32,36,...

Therefore the seventh term is 36.

2) The sequence is recursively defined by;

a_1=20\\  a_n=a_{n-1} - 5

This means, we have to keep subtracting 5 from the subsequent terms.

The sequence will be;

20,15,10,5,...

Therefore the fourth term is 5

3) The sequence is recursively defined by:

f(n+1)=f(n)+0.5

where f(1)=-1.5

This means that, the subsequent terms can be found by adding 0.5 to the previous terms.

The sequence will be:

-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....

Therefore f(10)=3.0

8 0
3 years ago
Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana th
natta225 [31]
Y=4+2x
Hope this helps!
Vote me brainliest!
6 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of quadric function has a minumum at (-2,-3) and passes through the point (2,13)
    14·1 answer
  • 3 in to 2 ft in simplest form
    6·2 answers
  • The distances in space are measured in light-years. The distance from Earth to a star is 5.9 × 1013 kilometers. What is the dist
    5·1 answer
  • 3. 8 is 12% of what number?<br> A) 60 B) 62 C) 66 D) 66.6
    13·2 answers
  • How do you solve this
    6·1 answer
  • Mr Hardy is a wonderful musician. He charges $50 for each of the first three hours he plays and $24.95 for each additional hour.
    9·1 answer
  • Find the missing side lengths​
    10·1 answer
  • Evaluate 5−44⋅(−0.75)−18÷23⋅0.8−45.
    7·1 answer
  • What number goes in the box?<br> 326 -<br> = 116<br> A 210<br> B 211<br> C 209<br> D 442
    11·1 answer
  • Work out 20% of 25, can you give solution too? lol ​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!