Find three rational number between 1/4 and 2/3
Answers
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Answer:
The rational numbers between 2/3 and 1/4 are 4/12, 5/12, 6/12, and 7/12.
Step-by-step explanation:
Suppose we have two rational numbers with different denominators, then follow the below steps to find the rational numbers between them.
Step 1: Find the LCM of two rational numbers first.
Step 2: Multiply and divide the two rational numbers, by the value that results in the denominators equal to the obtained LCM.
Example:
1) Find Rational Numbers between 1/2 and 3/4?
Since the Rational Numbers given don’t have the same denominator firstly equate the denominators.
Equating the Rational Numbers we have
1/2*4/4 = 4/8
3/4*2/2 = 6/8
We can’t write 5 Rational Numbers between 6/8 and 4/8. Multiply the Numerators and Denominators by multiples of 10.
4/8*10/10 = 40/80
6/8*10/10 = 60/80
Five rational numbers between 40/80 and 60/80 are 41/80, 42/80, 43/80, 44/80, and 45/80.