Question

Anna said that the product of 7/8 • 1 1/2 = 7/2. How can you tell that her answer if wrong:1.The denominator cannot be the same as one of the factors2.The answer cannot be an improper fraction3.The answer must be less than 7/84.7/8 of a number cannot be greater than the number

Answer 1

Let's analyse each option:

1.The denominator cannot be the same as one of the factors

False, the denominator can be the same, as in this example:

`(7)/(2)\cdot3=(21)/(2)`

2.The answer cannot be an improper fraction

False, there is no problem in the answer being an improper fraction, as in the example above.

3.The answer must be less than 7/8

False, the answer would be less than 7/8 if the second number was lesser than 1.

4. 7/8 of a number cannot be greater than the number

True. The number 7/8 is lesser than 1, so its product with another number must be lesser than the second number. And Anna's answer (7/2) is bigger than the