Find the greatest number that divides 9.86 and 5.1 leaving a remainder 0.06 in each case.(answer=0.28, please step by step explanation)
Answers
Given:
The numbers 9.86 and 5.1
To find:
Find the greatest number that divides 9.86 and 5.1 leaving a remainder 0.06 in each case.
Solution:
From given, we have,
The numbers 9.86 and 5.1
9.86 and 5.1
divides 9.86 and 5.1 leaving a remainder 0.06
(9.86 - 0.06) and (5.1 - 0.06)
9.8 and 5.04
98/10 and 504/100
The factors of 98 are: 1, 2, 7, 14, 49, 98
The factors of 504 are: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
HCF of numerators 98 and 504 = 14
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
Multiples of 100: 100, 200, 300
LCM of denominators 10 and 100 = 100
Hcf of fractions = Hcf of numerator / Lcm of denominator
= 14/100
= 0.14
Therefore, the greatest number that divides 9.86 and 5.1 leaving a remainder 0.06 in each case is 0.14