Question

When you multiply a number by a fraction greater than 1, the product is ______ the number.

• A. greater than
• B. None of the above
• C. equal to
• D. less than

Answer 1

The correct option is A greater than

Let’s consider a number 4 and a fraction greater than $1$ be
$\frac{5}{4}$.

When we multiply a fraction by a whole number, we first write the whole number as a fraction.
We do that by taking the whole number as the numerator and $1$ as the denominator.
That is, $4$ is written as $\frac{4}{1}$.
Then, we multiply the numerator by the numerator and the denominator by the denominator.
$\frac{4}{1}\times \frac{5}{4}=\frac{20}{4}$

$\frac{20}{4}=5$

Clearly, $5$ is greater than $4$.