Question

Упростить выражение дробей: 15/16 × 16/15 × 14/13 × 13/14 × 18/11 × 11/18 × 17/10 × 10/17 × 6/19

Answer 1

Ответ:

$(\frac{15}{16}*\frac{16}{15})*(\frac{14}{13}*\frac{13}{14})*(\frac{18}{11}*\frac{11}{18})*(\frac{17}{10}*\frac{10}{17})*\frac{6}{19} = 1 * 1 * 1 * 1 * \frac{6}{19} = \frac{6}{19}$

Пошаговое объяснение:

Answer 2

To simplify the expression of the fractions, you can observe that each fraction has a numerator and denominator that cancel out with the numerator and denominator of another fraction in the sequence. Let's cancel out the common terms:

15/16 × 16/15 × 14/13 × 13/14 × 18/11 × 11/18 × 17/10 × 10/17 × 6/19

Cancel out the common terms:

(15/15) × (14/14) × (18/18) × (17/17) × (16/16) × (13/13) × (11/11) × (10/10) × (6/19)

Now, we are left with:

1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 × (6/19) = 6/19

So, the simplified expression of the given product of fractions is 6/19.