Question

find two rational numbers greater than 1/4 whose product is less than 1/4

Answer 1

Answer:

1/3×2/3=2/9

Step-by-step explanation:

When you multiply two of the same fraction, the numerator stays the same but the denominator gets bigger. Therefore, you have a smaller fraction.

Answer 2

Two rational numbers satisfying the given conditions are required.

Two rational numbers are $\dfrac{3}{10}$ and $\dfrac{2}{5}$.

Let $x$ be one number and $y$ be another number

According to the question

$x>\dfrac{1}{4}$

$y>\dfrac{1}{4}$

$xy<\dfrac{1}{4}$

This given conditions are true for the shaded region shown in the graph.

Let us take examples

$\dfrac{3}{10}$ and $\dfrac{2}{5}$

$\dfrac{3}{10}=0.3>\dfrac{1}{4}$

$\dfrac{2}{5}=0.4>\dfrac{1}{4}$

$\dfrac{3}{10}\times \dfrac{2}{5}=\dfrac{3}{25}=0.12<0.25$

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