Find three rational numbers between minus 3 by 4 and 5 by 6
Answers
Step-by-step explanation:
There are many methods of finding rational numbers:
Average your two two numbers, you will find a rational number
Calculate 34+56=912+1012=9+1012=???
Divide that sum by two to get the average.
That answer is a rational number between your two numbers.
Do a weighted average. Add seven times your first number plus three times your second number, then divide the sum by ten.
Calculate: 7×34+3×56=214+156=???
Divide that answer by 10 (because 7+3=10)
The answer will be between your two numbers.
With fractions like 34 and 56 , you can do DIRTY ADDITION:
Add the numerators: 3 + 5 = 8
Add the denominators: 4 + 6 = 10
Write your new fraction and simplify:
34+56→3+54+6=810=???
This “dirty” answer is between your two numbers
Another trick you can use with fractions: Convert BOTH fractions to a common denominator, not necessarily the lowest common denominator, then list all the fractions between those two fractions.
34<56
7296<8096
7396,7496,…