When we multiply a fraction less than one by a nonzero whole number, the product is always less than the whole number.
What is a nonzero whole number?
Whole numbers include the set of natural numbers and zero. But, when we say "nonzero whole number", we are referring to all whole numbers except zero.
It is given that the fraction is less than one. This means that the denominator(d) is greater than the numerator(n). It can be written as shown below:
n < d
Multiply by a whole number X:
nX < dX
now divide the whole inequality by d:
(n/d)X < X
Now, we can see that the fraction multiplied by the nonzero whole number is always less than that of the whole number.
Therefore, when we multiply a fraction less than one by a nonzero whole number the product is always less than the whole number.
Learn more about whole numbers here: https://brainly.com/question/9879870
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