Example 2. Find four rational numbers lying 3 2 between and 5 3
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Step-by-step explanation:
Find 5 rational numbers between 3/5 and 2/3
Answer:
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.
Examples – 1/3, 2/4, 1/5, 9/3, and so on.
Here in this question, denominators of both rational numbers are different, so first we have to make the denominators the same by finding their Lowest Common Multiple (LCM).
The LCM of 5 and 3 is 15.
3/5 × 3/3 = 9/15
2/3 × 5/5 = 10/15
Multiply them by 10 to get a greater difference among both new numbers.
This gives 90 / 150 and 100 / 150
Therefore the five numbers between 3/5 and 2/3 are 91 / 150 , 92 / 150 ,93 / 150 , 94 / 150 and 97/ 150.
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