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
Genrish500 [490]
3 years ago
5

Find four fractions between 1/10 and 1/8

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

<em>Check</em>

  • 1/8 = 0.125
  • 5/42 ≈ 0.119
  • 5/44 ≈ 0.114
  • 5/46 ≈ 0.109
  • 5/48 ≈ 0.104
  • 1/10 = 0.100

_____

<em>Additional comment</em>

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

You might be interested in
William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

Factors of 60 : 1,2,3,4,5,6,10,12,15,20,30,60

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
3 years ago
2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converte
Ilia_Sergeevich [38]

Answer:

447451 miles

Step-by-step explanation:

a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820

3 0
2 years ago
Work out the volume of this sphere?
ale4655 [162]

Answer:

1436.8 cm^3

Step-by-step explanation:

You just plug it in:

r = 7 since it is the radius

Volume = (4 / 3) pi x r^3

Volume = (4 / 3) pi x (7)^3

Volume = 1436.75 = 1436.8 cm^3 (nearest tenth)

4 0
3 years ago
So like my my claim is “Are we too dependent on technology” And now I have to write my first paragraph without giving the clue a
aleksklad [387]
Perhaps you could just outline the topic lightly but try your best not to give away your topic idea. In this case talk about technology but don't talk about the dependency of technology, for the first paragraph as mentioned in your title text and then in your second paragraph you could talk about the dependency of technology.
5 0
3 years ago
Which statement is true?
Vladimir [108]

Answer:

1 yard = 3 feet

Step-by-step explanation:

1 yard = 3 feet

4 0
3 years ago
Other questions:
  • Part A: Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4, 0).
    13·2 answers
  • Please Help its past due!
    9·2 answers
  • Your mom plus dad equals you
    15·1 answer
  • HELP ASAP!!!
    14·1 answer
  • An alligator is 6.6feet how long is his tail
    7·1 answer
  • What is the absolute value of –7.5?
    5·2 answers
  • Jorge prints a picture at home. The photo he prints has a length of 6 inches and a width of 4 inches. He decides to print the pi
    14·1 answer
  • The diameter of a circle is 14 m. Find its area to the nearest tenth.
    7·1 answer
  • To attend the football game, it costs $8 for parking plus $59 per ticket. If Bryan paid $362, how many tickets did he purchase?
    5·1 answer
  • Andrew earns 10 points for every word she spells correctly on a quiz. Which equation can be used to find p, the total number of
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!