Question

1. Укажите пропорцию. A)12/6=24/6 В)1,8/2=4/0,2 C)1/2=0,05/0,1 D)9/10=7/10 E)7/8=8/9​

Answer 1

Ответ:

C) 1/2=0,05/0,1

Пошаговое объяснение:

C) 1*0,1=0,1

2*0,05=0,1

0,1=0,1

A) 12*6=72

24*6=144

72≠144

B) 1,8*0,2=0,36

2*4=8

0,36≠8

D) 9*10=90

7*10=70

90≠70

E) 7*9=63

8*8=64

64≠63

Answer 2

A) 12/6 = 24/6

To determine if the equation is a valid proportion, we need to check if the two fractions are equal. In this case, we have:

12/6 = 24/6

To simplify the fractions, we can divide both the numerator and denominator of each fraction by their greatest common divisor (GCD). In this case, the GCD of 12 and 6 is 6. Dividing both by 6, we get:

(12/6) / (6/6) = (24/6) / (6/6)

2/1 = 4/1

Since both fractions simplify to the same value, the equation is a valid proportion. Hence, A) 12/6 = 24/6.

B) 1.8/2 = 4/0.2

To check if this equation is a valid proportion, we need to simplify the fractions and see if they are equal:

1.8/2 = 4/0.2

To simplify the fractions, we can multiply both the numerator and denominator of each fraction by a common factor. In this case, multiplying the first fraction by 10 and the second fraction by 100, we get:

(1.8 * 10) / (2 * 10) = (4 * 100) / (0.2 * 100)

18/20 = 400/20

If we simplify both fractions by dividing the numerator and denominator by their greatest common divisor (GCD), which is 2, we get:

9/10 = 20/1

The fractions do not simplify to the same value. Therefore, B) 1.8/2 is not equal to 4/0.2, and the equation is not a valid proportion.

C) 1/2 = 0.05/0.1

To check if this equation is a valid proportion, we can simplify the fractions and see if they are equal:

1/2 = 0.05/0.1

The fractions are already in their simplest form. Comparing the fractions, we can see that they are equal:

1/2 = 0.05/0.1

Since the fractions are equal, the equation C) 1/2 = 0.05/0.1 is a valid proportion.

D) 9/10 = 7/10

To check if this equation is a valid proportion, we can simplify the fractions and see if they are equal:

9/10 = 7/10

The fractions are already in their simplest form. Comparing the fractions, we can see that they are equal:

9/10 = 7/10

Since the fractions are equal, the equation D) 9/10 = 7/10 is a valid proportion.

E) 7/8 = 8/9

To check if this equation is a valid proportion, we can simplify the fractions and see if they are equal:

7/8 = 8/9

The fractions are already in their simplest form. Comparing the fractions, we can see that they are not equal:

7/8 ≠ 8/9

Since the fractions are not equal, the equation E) 7/8 = 8/9 is not a valid proportion.