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Mamont248 [21]
2 years ago
13

How to multiply and divide rational numbers?

Mathematics
2 answers:
ad-work [718]2 years ago
8 0

To multiply two fractions, you multiply the numbers straight across. The numerators stick together and multiply; the denominators stick together and multiply. For example:

1/2 times 3/4 = (1 times 3)/(2 times 4) = 3/8

After multiplying, we reduce if possible. In this case, we cannot reduce, so we're done with this example.

--------------------------------

To divide two fractions, you would flip the second fraction and then multiply straight across. So, for example,

5/7 divided by 7/8 = (5/7) times (8/7) = (5 times 8)/(7 times 7) = 40/49

Notice how the steps are similar as before. The only difference really is that we flipped the second fraction.

lutik1710 [3]2 years ago
5 0

To divide rational numbers, you turn the division problem into a multiplication problem by flipping the second rational number. Then you go ahead and multiply the tops and bottoms together to get your answer. If you can simplify your problem before multiplication, you can go ahead and do so to make your problem easier.

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Let A = { all odd numbers) and B = {1,3,5,7). Is B a subset of A?
Alchen [17]

Answer:

Step-by-step explanation:

Yes

{1,3,5,7} contains the first 4 odd numbers.

{1,2,3,5,7} would not be a subset.

4 0
3 years ago
Read 2 more answers
Help, help, help!!! I really need help on this whole page!!!! 8th grade math!!!
anastassius [24]
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4 0
3 years ago
Write the set of real numbers x less than 6 in set builder notation
maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

  • x is a real number
  • x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0
2 years ago
The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen
Alex Ar [27]
For the answer to the question above,  
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years. 
V(0) = 3500 
V(2) = 2000 

n = 0 
V(0) = a * b^0 = 3500 
a = 3500 

V(2) = a * b^2 
2000 = 3500 * b^2 
b = sqrt (2000/3500) 
b ≈ 0.76 

V(n) = 3500 * 0.76^n 

We can check it for n = 1 which is close to 2500 in the graph: 
V(1) = 3500 * (0.76)^1 
V(1) = 2660 

And in the graph we have V(3) ≈ 1500, 
V(n) = 3500 * (0.76)^3 ≈ 1536 

Now n = 9.5 
V(9.5) = 3500 * (0.76)^(9.5) 
V(9.5) ≈ 258</span>
4 0
3 years ago
Read 2 more answers
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax for 5%
maks197457 [2]

Answer:

$50

Step-by-step explanation:

Given data

Cost of sushi= $40

Tax= 5%

Tip= 20%

Let us find the amount of the tax and the tip

Tax

=5/100*40

=0.05*40

=$2

Tip

=20/100*40

=0.2*40

=$8

Hence the total amount paid is

=40+2+8

=$50

6 0
3 years ago
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