Question

1) х: 8/9=9/13 2) 7 1/5: х=9/10

Answer 1

1) х=9/13*8/9
х=72/117
2) переводимо правильний дроб в неправильний: 7 1/5=36/5
х=36/5:9/10=36/5*10/9=360/40=9
(при діленні дробів множимо на обернений дріб)

Answer 2

1. To solve the equation 8/9 = 9/13 for x, you can cross-multiply the fractions:

8/9 = 9/13

13 * 8 = 9 * x

104 = 9x

x = 104/9

Therefore, x = 11 5/9.

2. To solve the equation 7 1/5 : x = 9/10, you can first convert the mixed number to an improper fraction:

7 1/5 = (7 * 5 + 1) / 5 = 36/5

Then, you can invert both sides of the equation and multiply:

7 1/5 : x = 9/10

x : 7 1/5 = 10/9 (Inverted both sides)

x = (36/5) * (10/9) = 40/3

Therefore, x = 13 1/3.