find three rational numbers lying between 1/5and 1/4
Answers
Answered by
9
Look the best way is to make the denominators of both the rational numbers equal to a higher extent.
So, in 1/5 and 1/4 make the both denominators 1OO, by multiplying both the numerators and denominators with 2O and 25 respectively. Now, we have the two numbers as 20/10O and 25/100.
Therefore, rational numbers between 1/5 and 1/4 are 21/100, 22/100, 23/100, 24/100,......etc.
So, in 1/5 and 1/4 make the both denominators 1OO, by multiplying both the numerators and denominators with 2O and 25 respectively. Now, we have the two numbers as 20/10O and 25/100.
Therefore, rational numbers between 1/5 and 1/4 are 21/100, 22/100, 23/100, 24/100,......etc.
Answered by
17
Hey friend,
Given numbers,
1/5 and 1/4
Take LCM,
LCM is 20
1/5×4/4 and 1/4×5/5
4/20 and 5/20
Multiply 4/4 for both numbers,
4/20×4/4 and 5/20×4/4
16/80 and 20/80
16/80<17/80<18/80<19/80<20/80
1/5<17/80<18/80<19/80<1/4
The three rational numbers between 1/5 and 1/4 are
17/80 , 18/80 and 19/80
Hope it helps
Given numbers,
1/5 and 1/4
Take LCM,
LCM is 20
1/5×4/4 and 1/4×5/5
4/20 and 5/20
Multiply 4/4 for both numbers,
4/20×4/4 and 5/20×4/4
16/80 and 20/80
16/80<17/80<18/80<19/80<20/80
1/5<17/80<18/80<19/80<1/4
The three rational numbers between 1/5 and 1/4 are
17/80 , 18/80 and 19/80
Hope it helps
Similar questions