Question

(2/3)•(3/4)•(4/5)•(5/6)•(6/7)=

Answer 1

Ответ:

2/7

Пошаговое объяснение:

2/3*3/4=2/1*1/4=2/4

2/4*4/5=2/1*1/5=2/5

2/5*5/6=2/1*1/6=2/6

2/6*6/7=2/1*1/7=2/7

Answer 2

Ответ:

$\frac{2}{7}$

Пошаговое объяснение:

$\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5} \times \frac{5}{6} \times \frac{6}{7} = \frac{720}{2520} = \frac{2}{7}$

Answer 3

To calculate the product of these fractions:

(2/3) * (3/4) * (4/5) * (5/6) * (6/7)

You can simply multiply the numerators together and then multiply the denominators together:

(2 * 3 * 4 * 5 * 6) / (3 * 4 * 5 * 6 * 7)

Now, let's simplify the fractions:

Numerator: 2 * 3 * 4 * 5 * 6 = 720 Denominator: 3 * 4 * 5 * 6 * 7 = 2520

So, the simplified fraction is:

720/2520

To further simplify this fraction, you can find the greatest common divisor (GCD) of 720 and 2520, which is 240, and divide both the numerator and denominator by this GCD:

(720/240) / (2520/240) = 3/10

So, the result of the expression is 3/10.