Question

4/5*5/6*6/7*7/8=?. Help​

Answer 1

Ответ:

1/2

Пошаговое объяснение:

1) 4/5 * 5/6 = 4/6

2) 4/6 * 6/7 = 4/7

3) 4/7 * 7/8 = 4/8 = 1/2

Answer 2

Ответ:

1/2.

Пошаговое объяснение:

4/5 • 5/6 • 6/7 • 7/8 = (4•5•6•7) / (5•6•7•8) =

сократим дробь на 5•6•7, зачёркивая их одновременно в числителе и знаменателе)

= 4/8 = 1/2.

Answer 3

To solve this multiplication of fractions, you simply multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. Here's the calculation:

(4/5) * (5/6) * (6/7) * (7/8)

= (4 * 5 * 6 * 7) / (5 * 6 * 7 * 8)

Now, you can simplify the fraction by canceling out common factors in the numerators and denominators:

= (4 * 1 * 1 * 1) / (1 * 1 * 1 * 8)

= (4/1) / (1/8)

Now, you have a division of fractions, which is equivalent to multiplying by the reciprocal of the second fraction:

= (4/1) * (8/1)

Now, multiply the numerators and denominators:

= (4 * 8) / (1 * 1)

= 32 / 1

So, 4/5 * 5/6 * 6/7 * 7/8 is equal to 32.