
James O. answered 01/05/15
Tutor
4.3
(4)
Patient and easy-to-understand math tutor - HMC / UCI Grad
Hi Desiy,
First lets translate our mixed fraction into a pure fraction. The total amount of candy we have is:
- 3 and 3/5 lbs
- 3 * [5/5] and 3/5 lbs
- 15/5 and 3/5 lbs
- 18/5 lbs
So the total amount of candy we have is 18/5 lbs "eighteen fifths." We need to divide this amount by 6 to divide this candy equally among 6 boxes. With fractions it is important to understand that dividing by 6 is the same as multiplying the denominator by 6. So the arithmetic works out as follows:
- (18 / 5) / 6 = (18 / 5) * (1 / 6) = (18 / (5 * 6)) = 18 / 30 = 9 / 15 = 3 / 5
Thus, she should place 3 / 5 lb "three fifths" into each of the six boxes.
Let's check our answer. How much candy do we have if 3 / 5 lb is placed into each of six boxes?
- (3 / 5 ) * 6 = 18 / 5 = 3 and 3 / 5, which is indeed the total amount of candy.
Hope this helps!