Question

Сократи дробь: 31⋅15 ____ 41⋅40

Answer 1

1. 93\328

Пошаговое объяснение:

Answer 2

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

The given fraction is:

$\frac{31 \cdot 15}{41 \cdot 40}$

Step 1: Find the GCD of 31 * 15 and 41 * 40.

Prime factorization of 31 * 15 = 465: $465 = 3 \times 5 \times 31$

Prime factorization of 41 * 40 = 1640: $1640 = 2^3 \times 5 \times 41$

The common factors are 5, so the GCD is 5.

Step 2: Divide both the numerator and denominator by the GCD (which is 5).

$\frac{31 \cdot 15}{41 \cdot 40} = \frac{31 \cdot 3}{41 \cdot 8}$

So, the simplified fraction is $\frac{93}{328}$.