Question

1)3/5:9/10= 2)4/5:2/25= 3)6:1/12= 4)2/5:10= 5)3/4:5/7= 6)5/18:25/27= 7)9:81= 8)36:9/15=

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Пошаговое объяснение:

1) 3/5 : 9/10 = 2/3

2) 4/5 : 2/25 = 10

3) 6 : 1/12 = 72

4) 2/5 : 10 = 1/25

5) 3/4 : 5/7 = 21/20

6) 5/18 : 25/27 = 3/10

7) 9 : 81 = 1/9

8) 36 : 9/15 = 60

Answer 3

1) To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator.

For the expression 3/5 : 9/10, we can rewrite it as 3/5 * 10/9.

Now, let's multiply the numerators (3 * 10) and the denominators (5 * 9):

3/5 * 10/9 = (3 * 10) / (5 * 9) = 30/45.

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 15:

30/45 = (30 ÷ 15) / (45 ÷ 15) = 2/3.

Therefore, 3/5 : 9/10 is equal to 2/3.

2) For the expression 4/5 : 2/25, we can rewrite it as 4/5 * 25/2.

Now, let's multiply the numerators (4 * 25) and the denominators (5 * 2):

4/5 * 25/2 = (4 * 25) / (5 * 2) = 100/10.

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 10:

100/10 = (100 ÷ 10) / (10 ÷ 10) = 10/1.

Therefore, 4/5 : 2/25 is equal to 10/1 or simply 10.

3) For the expression 6 : 1/12, we can rewrite it as 6 * 12/1.

Now, let's multiply the numerators (6 * 12) and the denominators (1 * 1):

6 * 12/1 * 1/1 = (6 * 12) / (1 * 1) = 72/1.

Therefore, 6 : 1/12 is equal to 72.

4) For the expression 2/5 : 10, we can rewrite it as 2/5 * 1/10.

Now, let's multiply the numerators (2 * 1) and the denominators (5 * 10):

2/5 * 1/10 = (2 * 1) / (5 * 10) = 2/50.

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 2:

2/50 = (2 ÷ 2) / (50 ÷ 2) = 1/25.

Therefore, 2/5 : 10 is equal to 1/25.

5) For the expression 3/4 : 5/7, we can rewrite it as 3/4 * 7/5.

Now, let's multiply the numerators (3 * 7) and the denominators (4 * 5):

3/4 * 7/5 = (3 * 7) / (4 * 5) = 21/20.

Therefore, 3/4 : 5/7 is equal to 21/20.

6) For the expression 5/18 : 25/27, we can rewrite it as 5/18 * 27/25.

Now, let's multiply the numerators (5 * 27) and the denominators (18 * 25):

5/18 * 27/25 = (5 * 27) / (18 * 25) = 135/450.

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 45:

135/450 = (135 ÷ 45) / (450 ÷ 45) = 3/10.

Therefore, 5/18 : 25/27 is equal to 3/10.

7) For the expression 9 : 81, we can rewrite it as 9 * 1/81.

Now, let's multiply the numerators (9 * 1) and the denominators (1 * 81):

9 * 1/81 * 1/1 = (9 * 1) / (81 * 1) = 9/81.

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 9:

9/81 = (9 ÷ 9) / (81 ÷ 9) = 1/9.

Therefore, 9 : 81 is equal to 1/9.

8) For the expression 36 : 9/15, we can rewrite it as 36 * 15/9.

Now, let's multiply the numerators (36 * 15) and the denominators (1 * 9):

36 * 15/9 * 1/1 = (36 * 15) / (9 * 1) = 540/9.

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 9:

540/9 = (540 ÷ 9) / (9 ÷ 9) = 60/1.

Therefore, 36 : 9/15 is equal to 60/1 or simply 60.