Question

When will multiply a proper fraction with improper fraction, the results will be:

• A. Proper fraction
• B. Improper fraction
• C. Vulgar fraction
• D. Can’t determined

Answer 1

The correct option is D Can’t determined

We can’t say whether the result is proper or improper, it depends on the given fraction.
Let’s take an example: $\left(\frac{4}{5}\right)$ : Proper fraction
$\left(\frac{4}{3}\right)$: Improper Fraction
So, the product of these fraction= $\left(\frac{4}{5}\right)\times \left(\frac{4}{3}\right)=\frac{16}{15}$, which is an improper fraction.
Let’s take another example: $\left(\frac{3}{30}\right)$: Proper fraction
$\left(\frac{60}{7}\right)$: Improper fraction
So, the product of these fraction= $\left(\frac{3}{30}\right)\times \left(\frac{60}{7}\right)=\frac{180}{210}$, which is a proper fraction.
Hence, we can’t say what will be the results when we multiply a proper fraction with improper fraction.