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ioda
3 years ago
14

Definition: A fraction a/b is reduced if a and b are relatively prime.

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

it is true

Step-by-step explanation:

We can demonstrate this by contradiction.

First choosing a random rational and assuming that exist two ways to represent this rational. Call that rational x, a, b and a', b ' the couples of relatively prime to express x.

Then we have

x=x\\\frac{a}{b}=\frac{a'}{b'}

Isolating a:

a=\frac{a'b}{b'}

a is an integer and a' is a relatively prime with b', for this reason b has to be a factor of b'. Suppose this factorization b'=nb, replacing it:

a=\frac{a'nb'}{b'}=a'n

But now we have that n is a factor of a and is a factor of b, it means that a and b are not relatively prime, that is a contradiction with our premises. The sentence is true.

And referring to the positive denominator. If we want to express a positive rational the denominator and numerator will be both positive and if is a negative one we choose a positive denominator and a negative numerator.

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You can pay $10 for 2 movie tickets assuming the same rate , how much would you pay for 5 movie tickets ?
11Alexandr11 [23.1K]

Answer:

If we assume every 2 movie tickets is $10 then every one ticket would be $5. Assuming this to be true then 5 tickets is $25.

StepByStep Explanation:

movie tickets = t

2t=10

t=5

5t=?

5(5)=?

25=?

?=25


8 0
3 years ago
The volume code of a cube is given by s to the third power, where s is this side length of the cube. What is the difference of t
yKpoI14uk [10]

Answer:

61 m^3

Step-by-step explanation:

The difference in volume is (5 m)^3 - (4 m)^3, or (125 - 64) m^3, or

61 m^3

6 0
2 years ago
Read 2 more answers
Simplify by using the distributive property and then combining like terms for the expression 7(2x+3)
max2010maxim [7]

Answer:

14x+21

Step-by-step explanation:

7*2x=14x

7*3=21

14x+21

hope this helps :9

6 0
2 years ago
Find angle B and angle E
Natali [406]

Answer:

x = 9, Angles are 54°

Step-by-step explanation:

First, we need to find x:

7x-9 = 5x+9

+9 +9

7x = 5x+18

-5x -5x

2x = 18

x = 9

Now, we plug our x value in to find our angles.

5(9) + 9 = 54

Angle B = 54°

7(9) - 9 = 54°

Angle E = 54°

(angles are the same due to AAA property)

6 0
2 years ago
What is the greatest common factor for 25 and 77?
klemol [59]
The answer is 1
factors of 25 are 25, 5, 1
factors for 77 are 77, 11, 7, 1
3 0
2 years ago
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