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Product of two proper fractions is ______.
Question

Product of two proper fractions is ______.

A.

Sometimes greater and sometimes less than either fraction

B.

Always greater than either of the fractions

C.

Always less than either of the fractions

D.

Greater than the product of their reciprocals

Correct option is C

Solution:

Two proper fractions, both fractions have values less than 1. The product of two numbers that are less than 1 will always result in a number smaller than either of the two numbers. This is because multiplying two fractions reduces the overall value.

Example:

Let’s take two proper fractions: 12 and 34 \frac{1}{2} \text{ and } \frac{3}{4}​​

Their product is: 12×34=38 \frac{1}{2} \times \frac{3}{4} = \frac{3}{8}​​

Here,38, \frac{3}{8}​ is smaller than both 12 and 34.\frac{1}{2} \ and \ \frac{3}{4}.​​

Hence, the product of two proper fractions is always less than either of the fractions.

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