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Is the product of two positive mixed numbers ever less then 1?
No. A mixed number must be greater than 1, and two numbers that are greater than one that are multiplied together end up being greater that either number by itself.
Is the product of two mixed numbers always greater than either number?
Yes, if both the numbers have the same sign. But not if only one of them is negative.
Is this question true or false a proper fraction never has the same value as a mixed number?
TRUE. A proper fraction is always less than 1 and a mixed number is always greater than 1
Why is the reciprocal of a mixed number always less than the number 1?
A mixed number must have an integer part (and a fractional part). Consequently, a mixed number must be greater than one. The reciprocal of a number greater than one is less than one (and conversely) since the two, when multiplied together, make 1.
What is always true about the product of 2 mixed numbers?
In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.
