find five rational number lying between 1/5and 1/4
Answers
Answer:
25/120, 26/120, 27/120, 28/120, 29/120
Step-by-step explanation:
five fractions between 1/5 and 1/4
first make the factorise denominators
1/5 x 4/4 and 1/4 x5/5
= 4/20 and 5/20
now multiply both the factions with 6/6 (as we need five fractions between them)
4/20 x 6/6 = 24/120 and 5/20 x 6/6 = 30/120
hence there is 25/120, 26/120, 27/120, 28/120, 29/120 between 1/4 and 1/5
(to confirm the answer u can check by reducing it to the simplest form)
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Convert the given two fraction with the same denominator 20 [LCM of 4 & 5]
1/5=4/20 and 1/4=5/20
As we have to find five rational numbers between them multiply both the
numerator and denominator by 6 (5+1)
4/20*6/6=24/120 and 5/20*6/6=30/120
Now the rational numbers are 25/120.26/120,27/120,28/120, 29/120
i.e 5/24.13/60,9/40,7/30,29/120
Note If you want to find ’n’ rational numbers multiply both numerator and
denominator of equal factions by (n+1)