Question

2/3:7/9=. 6:3/5=. 4 1/2:3 3/4= 20/21:15=​

Answer 1

Ответ:

1) 14/27

2) 10

3) 3/2

4) 4/63

Пошаговое объяснение:

1) 2/3/7/9=(2*7)/(3*9)=14/27

2) 6/3/5=(6*5)/3=10

3) (4 1/2)/3=(9/2):3=3/2

4) (20/21):15=(20*1)/21*15=20/315=4/63

Answer 2

To solve these ratios, you can follow these steps:

1. 2/3 : 7/9

   First, simplify both fractions by finding the least common multiple of the denominators, which is 9 in this case.

   • (2/3) * (3/3) = 6/9
   • (7/9)

   Now you have:

   6/9 : 7/9

   Since the denominators are the same, you can compare the numerators:

   6 : 7

2. 6 : 3/5

   To express 3/5 as a whole number, multiply both the numerator and denominator by 5:

   • (3/5) * (5/5) = 15/5

   Now you have:

   6 : 15/5

   To simplify the second part of the ratio, divide both the numerator and denominator by 5:

   • (15/5) / (5/5) = 3

   So the ratio is:

   6 : 3

3. 4 1/2 : 3 3/4

   First, convert the mixed numbers into improper fractions:

   • 4 1/2 = 9/2
   • 3 3/4 = 15/4

   Now you have:

   9/2 : 15/4

   To compare these fractions, find a common denominator, which is 4:

   • (9/2) * (2/2) = 18/4

   Now you have:

   18/4 : 15/4

   Since the denominators are the same, you can compare the numerators:

   18 : 15

4. 20/21 : 15

   To simplify this ratio, divide both numbers by their greatest common divisor, which is 1 in this case:

   20/21 : 15/1

   So the ratio is:

   20/21 : 15

These are the simplified ratios for the given expressions:

1. 2/3 : 7/9 simplifies to 6 : 7
2. 6 : 3/5 simplifies to 6 : 3
3. 4 1/2 : 3 3/4 simplifies to 18 : 15
4. 20/21 : 15 remains as 20/21 : 15