Find two rational numbers between3/10 and 9/10
Answers
Two rational numbers between 3/10 and 9/10 are 3/5 and 21/50.
To find two rational numbers between 3/10 and 9/10, we can use the fact that any fraction can be multiplied by a form of 1 to obtain an equivalent fraction with a different numerator and denominator.
For example, we can multiply both the numerator and denominator of 3/10 by 3 to get 9/30, which is equivalent to 3/10.
Similarly, we can multiply both the numerator and denominator of 9/10 by 3 to get 27/30, which is equivalent to 9/10.
Now, we can find two rational numbers between 9/30 and 27/30 by finding the average of these two fractions and the average of the smaller fraction and this average, respectively.
The average of 9/30 and 27/30 is (9/30 + 27/30) / 2 = 18/30 = 3/5. So, one rational number between 3/10 and 9/10 is 3/5.
The average of 9/30 and 3/5 is (9/30 + 3/5) / 2 = 21/50. So, another rational number between 3/10 and 9/10 is 21/50.
Therefore, two rational numbers between 3/10 and 9/10 are 3/5 and 21/50.
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