MATHEMATICS MIDDLE SCHOOL

Explain why 1/6 is greater than 1/8 but less than 1/3

Answers

Answer 1
Answer: You can read fractions as one number divided by another. So 1/6 is equivalent to 1 divided by 6. It is then selfevident that the larger the denominator the smaller the number. If you have one cake and divide it between 3, 6 or eight people, three people will get a larger slice than 6 people sharing the same cake. And 6 people will get a larger slice than 8 people dividing the same cake.
Answer 2
Answer:

1/6 is greaterthan 1/8 because 4/24 is greaterthan 3/24.

1/6 is lessthan 1/3 because 6/18 is greaterthan 3/18.

We have,

Comparing 1/6 and 1/8:

The denominators are 6 and 8.

A commondenominator for 6 and 8 is 24.

We can convert both fractions to have a denominator of 24:

1/6 = (1/6) * (4/4) = 4/24

1/8 = (1/8) * (3/3) = 3/24

Since 4/24 is greaterthan 3/24, we can conclude that 1/6 is greaterthan 1/8.

Comparing 1/6 and 1/3:

The denominators are 6 and 3 is 18.

We can convert both fractions to have a denominator of 18:

1/6 = (1/6) * (3/3) = 3/18

1/3 = (1/8) * (6/6) = 6/18

Since 6/18 is greaterthan 3/18, we can conclude that 1/6 is lessthan 1/3.

Thus,

1/6 is greaterthan 1/8 because 4/24 is greaterthan 3/24.

1/6 is lessthan 1/3 because 6/18 is greaterthan 3/18.

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Simplify six-hundred thirty over 10

Answers

630/10 

Lets divide!

630/10 = 63
10/10 = 1

63/1 = 63

Answer: 63
The answer is 63 because six-hundred thirty = 630  and 630 over 10 means to divide which will equal 630/10=63 and that's the answer 63

How do you know the number of part to divide a number line from 0 to 1 into when comparing fractions

Answers

To compare fractions you need a common denominator, then you can make a comparison.  You would divide the number line between 0 and 1 (or any 2 whole numbers on the number line) based on that common denominator.  For example... if you were trying to compare 3/4 and 2/8, you would find the common denominator (in this case 8) and convert the fractions...

3/4 = 6/8
2/8 stays as 2/8

Now you would go to the number line between 0 and 1 and divide it into 8 equal pieces.  3/4 would go over the 6th division and 2/8 would go over the second division. 

That would give you a good visual that 2/8 < 3/4

[        /        /        /        /        /        /        /        ]

0              2/8                               3/4               1

In a survey of 200 residents, 75 said they support the proposed town budget. If there are 10,000 total residents, about how many would be expected to support the proposed budget?

Answers

if 75 out of 200 people support the town budget than 3,750 out of 10,000 support it

PLEASE HELP!!!! This table gives information on serving sizes of a variety of sodas sold in a day in a cafeteria.

            Orange   Cola    Lemon
Small       51         66          57
Medium  37         56         48
Large       9           17          6



What percentage of orange sodas sold are small, and what percentage of large servings sold are colas? Round your answers to the nearest whole number.
A. 29% of orange sodas sold are small, and 12% of large servings sold are colas.
B. 12% of orange sodas sold are small, and 53% of large servings sold are colas.
C. 53% of orange sodas sold are small, and 53% of large servings sold are colas.
D. 29% of orange sodas sold are small, and 53% of large servings sold are colas.
E. 53% of orange sodas sold are small, and 12% of large servings sold are colas.

Answers

total: 51 + 66 + 57 + 37 + 56 + 48 + 9 + 17 + 6 =347

Orange: 51 + 37 +9 = 97
cola: 66 +56 +17 = 139
Lemon: 57 + 48 + 6= 111

small: 51 +66 +57 = 174
medium: 37 + 56 +48 = 141
large: 9 +17 +6 = 32

percents of orange sodas are small: 51 / 97 = 0.526 = 53%
large servings are cola: 17 / 32 = 0.536 = 53%
 Answer is C

53 percentage of orange sodas sold are small , and 53 percentage of large serving sold are colas.

What is percentage?

"Percentage is a number which represents the fraction of a number as its hundredth part."

Formula used

Percentage(%)  = ( Value / Total value) × 100

According to the question,

As given in the table,

Total number Oranges soda = 51 + 37 + 9

                                 = 97

Number of Small Oranges soda = 51

Substitute the value in the formula we get,

Percentage of orange sodas sold are small= (51 / 97) × 100

                                                                     = 52.57%

                                                                     = 53% (nearest whole number)

Total number of large sodas = 9 + 17 + 6

                                               = 32

Number of large sodas are Cola = 17

Percentage of large  sold sodas are colas = (17 / 32) × 100

                                                                     = 53.125%

                                                                    = 53% (nearest whole number)

Hence, Option(C) is the correct answer.

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For example it cost $36 for for movie tickets so the cost per unit or per ticket is 9

Answers

36x+9. Per represents the x which is per cost.
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Gilbert bought 3 shirts for $15.90 each, including tax. How much did he spend

Answers

15.90 times 3 equals your answer  47.70 hope I helped

Answer: $47.70

Step-by-step explanation: You just have to do is $15.90 times 3 and you got your answer. Also, have a Happy New year!

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