Question

(1/15-1/16)÷(1/16-1/17)×(1/17-1/17)÷(1/18-1/19)

Answer 1

(1/15-1/16)÷(1/16-1/17)×(1/17-1/17)÷(1/18-1/19)=0
1)1/15-1/16=(16-15)/(15*16)=1/240
2)1/16-1/17=(17-16)/(16*17)=1/272
3)1/17-1/17=0
4)1/18-1/19=(19-18)/(19*18)=1/342
5)1/240÷1/272=1/240*272=272/240
6)272/240*0=0
7)0÷1/342=0*342=0

Answer 2

1)1/15-1/16=(16-15)/(15*16)=1/240
2)1/16-1/17=(17-16)/(16*17)=1/272
3)1/17-1/17=0
4)1/18-1/19=(19-18)/(19*18)=1/342
5)1/240÷1/272=1/240*272=272/240
6)272/240*0=0
7)0÷1/342=0*342=0

Ответ: 0.

Answer 3

To simplify the expression, let's perform the calculations step by step:

Step 1: (1/15 - 1/16) = (16/240 - 15/240) = 1/240 Step 2: (1/16 - 1/17) = (17/272 - 16/272) = 1/272 Step 3: (1/17 - 1/17) = 0 (any number subtracted from itself is zero) Step 4: (1/18 - 1/19) = (19/342 - 18/342) = 1/342

Now, let's continue with the main expression:

(1/15 - 1/16) ÷ (1/16 - 1/17) × (1/17 - 1/17) ÷ (1/18 - 1/19)

Substitute the values we found in the previous steps:

= (1/240) ÷ (1/272) × 0 ÷ (1/342)

Since anything multiplied by zero is zero:

= 0

So, the value of the expression is 0.