Question

The product of 3/4 and 7/8 is less than 7/8

Answer 1

It would be less because any number, no matter big or small multiplied by a fraction is always less than that number.

Answer 2

Yes, it is correct.

Explanation:

When we multiply a positive real number by a positive real number less than 1,

Then the value of the original number is always decreased,

Here,
`(7)/(8)> 0`

Also,
`(3)/(4)<1`

Thus, by the above statement,

`(3)/(4)* (7)/(8) < (7)/(8)`

Verification :

`(7)/(8)=0.875`

Since, the product of
`(3)/(4)` and
`(7)/(8)` is,

`(3)/(4)* (7)/(8)`

`=(21)/(32)`

= 0.65625 < 0.875

`\implies (3)/(4)* (7)/(8) < (7)/(8)`