isabelle iram and Olivia enter a completion if they win they get to split the prize like this - isabelle 1 over 3 iram 1 0ver 5 and Olivia 1 over 12 and to give the remainder to charity
a} if they won what fraction of the prize would they give to charity?
b} another girl joins the group and agree to give her 1 over 6 of the prize how much more would Aisha receive than Olivia?
Isabelle = 1/3 = 20/60
Iram = 1/5 = 12/60
Olivia = 1/12 = 5/60
Added together they will have 37/60.
a) 60/60 - 37/60 = ?
b) 1/6 = 10/60
10/60 - 5/60 = ?
a} 23/60
b} 5/60
Right.
5/60 can be reduced or simplified.
To find the answers to the given questions, we need to perform some mathematical calculations.
a) To determine the fraction of the prize that would be given to charity if Isabelle, Iram, and Olivia win, we need to find the remaining fraction after dividing the prize among the three of them.
The fraction of the prize that Isabelle would receive is 1/3.
The fraction of the prize that Iram would receive is 1/5.
The fraction of the prize that Olivia would receive is 1/12.
Adding these fractions together, we get:
1/3 + 1/5 + 1/12
To add these fractions, we need to find a common denominator. In this case, the least common multiple of 3, 5, and 12 is 60. So, let's convert the fractions to have a denominator of 60:
(20/60) + (12/60) + (5/60)
Adding these fractions, we get:
37/60
Therefore, if Isabelle, Iram, and Olivia win, they would split 37/60 of the prize among themselves, and the remaining fraction (23/60) would be given to charity.
b) If another girl, Aisha, joins the group and agrees to give her 1/6 of the prize, we need to compare the amount Aisha would receive with the amount Olivia would receive.
To find the difference, we can calculate the fraction of the prize that Olivia would receive and subtract it from the fraction that Aisha would receive.
The fraction of the prize that Aisha would receive is 1/6.
The fraction of the prize that Olivia would receive is 1/12.
To calculate the difference, we subtract the fraction Olivia would receive from the fraction Aisha would receive:
(1/6) - (1/12)
To subtract these fractions, we need to find a common denominator, which is 12:
(2/12) - (1/12)
Subtracting these fractions, we get:
1/12
Therefore, Aisha would receive 1/12 more of the prize than Olivia.