To find two rational numbers between [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex], we start by converting these fractions into their decimal forms.
1. [tex]\(\frac{1}{4} = 0.25\)[/tex]
2. [tex]\(\frac{2}{5} = 0.4\)[/tex]
Now, we need to find two rational numbers that lie between 0.25 and 0.4.
One approach is to consider common denominators or examine numbers with a certain number of decimal places.
1. Calculate the first rational number between 0.25 and 0.4:
- An example is 0.3. Let's write 0.3 as a fraction:
[tex]\(0.3 = \frac{3}{10}\)[/tex]
2. Calculate the second rational number between 0.25 and 0.4:
- Another example is 0.35. Let's write 0.35 as a fraction:
[tex]\(0.35 = \frac{7}{20}\)[/tex]
Hence, two rational numbers that lie between [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex] are [tex]\(\frac{3}{10}\)[/tex] and [tex]\(\frac{7}{20}\)[/tex].
