Question

Дроби. Заполни пропуски. 1) 2/3 = 22/... 18/63 = 2/... 2) 2,4/3 = 24/... = .../15 = 4/... = .../10 3 = .../6 = .../8 = .../10 = 30/... = 45/... = 150/... = .../90

Answer 1

1) 22/33; 2/7
2) 24/30; 12/15; 4/5; 8/10
3) 18/6; 24/8; 30/10;30/10; 45/15;150/50;270/90

Answer 2

To fill in the missing fractions, we need to find equivalent fractions that are equal to the given fractions. To do this, we can cross-multiply and simplify. Let's solve each part step by step:

1. 2/3 = 22/...

To find the missing number in the numerator, we can set up a proportion:

2/3 = 22/x

Now, cross-multiply:

2x = 3 * 22 2x = 66

Now, solve for x:

x = 66/2 x = 33

So, 2/3 = 22/33.

2. 18/63 = 2/...

To find the missing number in the denominator, we can set up a proportion:

18/63 = 2/x

Now, cross-multiply:

18x = 63 * 2 18x = 126

Now, solve for x:

x = 126/18 x = 7

So, 18/63 = 2/7.

3. 2.4/3 = 24/... = .../15 = 4/... = .../10 = 3 = .../6 = .../8 = .../10 = 30/... = 45/... = 150/... = .../90

Let's solve this part step by step:

a) 2.4/3 = 24/...

To find the missing number in the denominator, we can set up a proportion:

2.4/3 = 24/x

Now, cross-multiply:

2.4x = 3 * 24 2.4x = 72

Now, solve for x:

x = 72/2.4 x = 30

So, 2.4/3 = 24/30.

b) .../15 = 4/...

To find the missing number in both the numerator and denominator, we can set up a proportion:

x/15 = 4/y

Now, cross-multiply:

x * y = 15 * 4

Since there are multiple possible solutions for x and y that satisfy this equation, let's pick simple values for x and y. For example, x = 4 and y = 15:

4/15 = 4/15.

c) .../10 = 3

The numerator is missing, and the denominator is given as 10. So, the fraction is x/10 = 3.

Now, cross-multiply:

x = 3 * 10 x = 30

So, x/10 = 3 becomes 30/10 = 3.

d) .../6 = ...

In this case, both the numerator and the denominator are missing. The fraction can be represented as x/6 = y/6, where y can be any number as long as it is equal to x.

Let's take x = 1 and y = 1:

1/6 = 1/6.

e) .../8 = ...

Similar to the previous case, both the numerator and the denominator are missing. The fraction can be represented as x/8 = y/8, where y can be any number as long as it is equal to x.

Let's take x = 2 and y = 2:

2/8 = 2/8.

f) .../10 = 30/...

To find the missing number in the numerator, we can set up a proportion:

x/10 = 30/y

Now, cross-multiply:

x * y = 10 * 30

Since there are multiple possible solutions for x and y that satisfy this equation, let's pick simple values for x and y. For example, x = 30 and y = 10:

30/10 = 30/10.

g) 45/... = ...

In this case, both the numerator and the denominator are missing. The fraction can be represented as 45/x = y/x, where y can be any number as long as it is equal to 45.

Let's take x = 5 and y = 45:

45/5 = 45/5.

h) 150/... = ...

In this case, both the numerator and the denominator are missing. The fraction can be represented as 150/x = y/x, where y can be any number as long as it is equal to 150.

Let's take x = 10 and y = 150:

150/10 = 150/10.

i) .../90 = 30/...

To find the missing number in the numerator, we can set up a proportion:

x/90 = 30/y

Now, cross-multiply:

x * y = 90 * 30

Since there are multiple possible solutions for x and y that satisfy this equation, let's pick simple values for x and y. For example, x = 90 and y = 30:

90/30 = 90/30.

Now we have filled in all the missing fractions as follows:

1. 2/3 = 22/33
2. 18/63 = 2/7
3. 2.4/3 = 24/30 = 4/15 = 3/10 = 3 = 1/6 = 2/8 = 30/10 = 30/10 = 45/5 = 150/10 = 90/30.