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3 years ago

What is 5 1/8 + 8 7/9 in a fraction? (I just learned this in class)

Mathematics

2 answers:

hammer [34]3 years ago

4 0

13 65/72 aaaannnnnsssswweeeerrrrrrr | answer

Mekhanik [1.2K]3 years ago

4 0

Hi ! , first of all we have to find the common denominator, which is basically a number that 9 and 8 have in common , in this case the common denominator is 72 . I personally prefer to change the mixed fractions , so if you don't change them it's fine , but it is easier if you do. We multiply 8 by 5 which is 40 them were add one to 40 , so our improper fraction is 41/1 , we do the same thing to the other one . Now that we have the improper fractions and the common denominator, we multiply the whole fraction by the number that times the denominator gives us 72.
5 1/8= 41/8
8 7/9= 79/9

41/8 times 9 = 369/72
79/9 times 8= 632/72
After that we add the fractions , 369/72+632/72
Our final answer is 1001/72

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George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl

Brums [2.3K]

Hi there!

FACTS :

To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).

STEPS TO ANSWER:

x = 1 ; y = 90 → $\frac{1}{90} =$ 1 ÷ 90 = 0.01111111...

x = 2 ; y = 150 → $\frac{2}{150} =$ 2 ÷ 150 = 0.0133333...

x = 3 ; y = 210 → $\frac{3}{210} =$ 3 ÷ 210 = 0.01428571

x = 4 ; y = 270 → $\frac{4}{270} =$ 4 ÷ 270 = 0.0148148...

x = 5 ; y = 330 → $\frac{5}{330} =$ 5 ÷ 330 = 0.01515152

** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.

⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago

The seventh term of an arithmetic progression is equal to twice the fifth term. The sum

mario62 [17]

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

Given $S_{7}$ = 84 , then

$\frac{7}{2}$ (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

6 0

3 years ago

The length of a rectangle is 5 inches shorter than 3 times the width. Which expression represents the length of the rectangle in

Karo-lina-s [1.5K]

Answer:

The answer is 3w-5

Step-by-step explanation:

First you would have to figure out what 3 times the width is which would be the 3w part then to fine the length you would subtract 5 since it is 5 inches shorter

6 0

2 years ago

Read 2 more answers

The volume of the triangluar block is 4 cubic inches. What is the approximate length of y?

Artist 52 [7]

The volume of the triangluar block is 4 cubic inches. What is the approximate length of y? -- 2.8 inches

3 0

3 years ago

What does AC=? Round your answer to the nearest hundredth. Please help

faltersainse [42]

Answer: About 3.06

Step-by-step explanation: