Mathematics, 13.11.2019 22:31 rvkanneh1713

Determine two fractions that are each greater than 2/5 whose product is less than 2/5

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Answer from: Destinysills9325

The possible two fractions are $\frac{1}{2}$ and $\frac{1}{2}$

Step-by-step explanation:

Consider the provided information.

We need to determine two fractions that are each greater than 2/5 whose product is less than 2/5.

Let the first fraction is $\frac{a}{b}$ and the second fraction is $\frac{c}{d}$

It is given that $\frac{a}{b}\frac{2}{5}$ and $\frac{c}{d}\frac{2}{5}$ but $\frac{a}{b}\times \frac{c}{d}$

Condition I:

$\frac{a}{b}\frac{2}{5}$

5a2b

Condition II:

$\frac{c}{d}\frac{2}{5}$

5c2d

Condition III:

$\frac{a}{b}\times \frac{c}{d}$

5ac

Substitute a = 2 in 5a2b

102b

Substitute c = 2 in 5c2d

102d

Substitute a = 2 and c = 2 in 5ac

Now we need to select the value of b and d so that above 3 conditions are satisfied.

For this substitute b = 4 in 102b

108 Which is true.

For this substitute d = 4 in 102d

108 Which is true.

For this substitute b = 4 and d = 4 in

Which is true.

So, the possible two fractions are $\frac{2}{4}$ and $\frac{2}{4}$ or $\frac{1}{2}$ and $\frac{1}{2}$

Answer from: Quest

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(continued on page 79)

step-by-step explanation:

Answer from: Quest

820,000 is the answr

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Determine two fractions that are each greater than 2/5 whose product is less than 2/5...

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