1) Write three rational numbers that lie between the two numbers 3/8 and 7/8?
Answers
Answer:
Three rational no. between 0,4−3 can be found by dividing the following number by a positive integer.
For example:2(4−3)=8−3
Simillarly if we divide it by 4 and 8 we get,16−3,32−3
Therefore the three rational are 8−3,16−3,32−3 that lies between 0,4−3.
Three rational numbers between 3/8 and 7/8 is 1/2, 5/8 and 3/4.
Given: Two numbers 3/8 and 7/8 is given
To find: Three rational numbers between them
Solution: A rational number is expressed in the form p/q where p and q are integers and q is not equal to 0.
Since the numbers 3/8 and 7/8 are fractions where denominator is same, the three rational numbers can be written by just adding 1,2 and 3 to the numerator of fraction 3/8 while keeping the denominator same.
On adding 1 to the numerator of 3/8, the rational number = 4/8 = 1/2
On adding 2 to the numerator of 3/8, the rational number = 5/8
On adding 3 to the numerator of 3/8, the rational number = 6/8 = 3/4
Clearly, these rational numbers are less than 7/8 and are greater than 3/8.