Question

Find the five rational numbers between 2/5 and 4/5
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Answer 1

Since the five is the rational number between 2/5and 4/5 then simply add 1 at the both denominator then 5+1=6.       And multiply the 6 at both numerator and denominator 2/5=2×6/5×6=12/30 4/5=4×6/5×6=24/30 then the five rational numbers are 12/30,13/30,14/30,15/30,16/30

Answer 2

Answer:

The five rational numbers between  $\frac{2}{5}$ and $\frac{4}{5}$ are $\frac{9}{20}, \frac{ 10}{20}, \frac{11}{20}, \frac{12}{20}, \frac{13}{20}.$

Step-by-step explanation:

Given: Rational numbers $\frac{2}{5}$ and $\frac{4}{5}$.

To find:  five rational numbers between $\frac{2}{5}$ and $\frac{4}{5}$.

We multiply the numerator and denominator by four,

$\frac{2}{5} = \frac{(2 \times 4)}{ (5 \times 4)} = \frac{8}{20}.$

$\frac{4}{5} = \frac{(4 \times4) }{ (5 \times4)} = \frac{16}{20}.$

Now, the numbers among 8 and 16 are 9, 10, 11, 12, 13,14, and 15.

Five rational numbers among $\frac{2}{5}$ and $\frac{4}{5}$ are $\frac{9}{20}$, $\frac{10}{20}$, $\frac{11}{20}$, $\frac{12}{20}$, $\frac{13}{20}$.

Therefore, the 5 rational numbers among $\frac{2}{5}$ and $\frac{4}{5}$ are $\frac{9}{20}, \frac{ 10}{20}, \frac{11}{20}, \frac{12}{20}, \frac{13}{20}.$

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