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find two rational numbers beyween 1/5and 1/3 Related: Finding:Rationa...
Finding Rational Numbers between two Rational Numbers
Rational numbers are numbers that can be expressed as a ratio of two integers. When we are asked to find rational numbers between two given rational numbers, we need to find rational numbers that lie between the given numbers. Let us take an example to understand this better.
Example:
Find two rational numbers between 1/5 and 1/3.
Solution:
Step 1: Find the LCM of the two denominators.
LCM of 5 and 3 is 15.
Step 2: Convert the given rational numbers to equivalent fractions with the same denominator.
1/5 = 3/15 and 1/3 = 5/15.
Step 3: Find the rational numbers that lie between the given rational numbers.
Now we need to find two rational numbers between 3/15 and 5/15. To do this, we can add and subtract a fraction with the same denominator.
3/15 + 1/15 = 4/15 and 5/15 - 1/15 = 4/15.
Therefore, the two rational numbers between 1/5 and 1/3 are 4/15.
Conclusion:
Thus, we can find rational numbers between two given rational numbers by finding a common denominator, converting the given rational numbers to equivalent fractions with the same denominator, and finding the rational numbers that lie between them by adding and subtracting fractions with the same denominator.
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find two rational numbers beyween 1/5and 1/3 Related: Finding:Rationa...
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