Question

7 1/5:Х=2 2/5: 1 7/9

Answer 1

$7\frac{1}{5}:x=2\frac{2}{5}:1\frac{7}{9}$

$\frac{4}{5}*16=\frac{12}{5}$

$x=\frac{16}{3}; 5\frac{1}{3}$

Answer 2

To solve the equation, let's simplify the fractions first:

7 1/5 can be written as an improper fraction: (7 * 5 + 1) / 5 = 36/5.

2 2/5 can be written as an improper fraction: (2 * 5 + 2) / 5 = 12/5.

1 7/9 can be written as an improper fraction: (1 * 9 + 7) / 9 = 16/9.

Now we can rewrite the equation:

36/5 : X = 12/5 : 16/9.

To divide fractions, we can multiply by the reciprocal of the second fraction:

36/5 * 9/16 = 12/5 * X.

Canceling out common factors:

(36 * 9) / (5 * 16) = 12/5 * X.

324/80 = 12/5 * X.

To isolate X, we can multiply both sides by the reciprocal of 12/5:

(324/80) * (5/12) = X.

Simplifying the multiplication:

(9/2) * (1/4) = X.

9/8 = X.

Therefore, the value of X is 9/8.