find three rational number between ⅓and ½. step by step
Answers
Find a common denominator. It’s easier to find the rational number(s) you’re looking for if we have a large denominator, so for the sake of this experiment we’ll use 60 .
Extend the fractions so they have the same common denominator.
12×30=306013×20=2060
Pick any number between the two nominators and use the same denominator - that’s a rational number between 12 and 13 .
Example solutions:
2160,2260=1130,2360 , etc.
If you need more than 9 solutions, just increase the common denominator.
You can also use this with a larger common nominator. For example,
12×10=102013×10=1030
This means that all numbers between 1021 and 1029 (inclusive) are also rational numbers between 12 and 13 .
Answer:
Three rational numbers between 1/3 and 1/2 making the denominator same: 1/3=8/24(equivalent fraction) 1/2=12/24(also equivalent fraction). Three rational numbers between 8/24 and 12/24 are: 9/24,10/24,11/24.