Question

Сократи дробь: 19⋅5 | 53⋅65

Answer 1

$\frac{19*5}{53*65}=\frac{19}{53*13}=\frac{19}{689}$

Answer 2

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both the numerator and denominator by that GCD.

Let's find the GCD of 19 * 5 and 53 * 65:

GCD(19 * 5, 53 * 65)

First, let's factorize both numbers:

19 * 5 = 95 53 * 65 = 3445

Now, let's find the common factors:

Common factors of 95: 1, 5, 19, 95 Common factors of 3445: 1, 5, 17, 19, 65, 95, 341, 685, 3445

The greatest common divisor (GCD) is 95.

Now, let's divide both the numerator and denominator by 95:

(19 * 5) / (53 * 65) = (95) / (3445)

The simplified fraction is 95/3445.