Question

Умножение дроби на дробь 6/7*7/8*8/9*9/10*10/11= 4/7*35/36*3/5= 1/2*2/3*3/4*28/30*23/24*24/25=

Answer 1

Ответы: 1)6/11 2)1/3

Answer 2

To multiply fractions, you multiply the numerators together and then multiply the denominators together. You can simplify the fractions before or after multiplying, if possible.

So, for the given expression:

6/7 * 7/8 * 8/9 * 9/10 * 10/11

= (6 * 7 * 8 * 9 * 10) / (7 * 8 * 9 * 10 * 11)

= (2 * 3 * 6 * 7 * 2 * 2 * 3 * 5) / (7 * 2 * 2 * 3 * 3 * 5 * 11)

= (2 * 2 * 3 * 3 * 5 * 6 * 7 * 23 * 28) / (2 * 2 * 3 * 3 * 5 * 7 * 11 * 24 * 25)

= (23 * 28) / (11 * 24 * 25)

= 644/660

= 161/165

Therefore, the result of the multiplication of the given fractions is 161/165.