Gayle had 5 1/3pounds of candy.She put 1 1/2 pounds of candy into each gift bag.How many gift bags could she fill completely fill? What fraction of a gift bag will she have left? what fraction of a pound of candy will she have left?
3 * 1 1/2 = 4 1/2
Three bags would be full.
5 1/3 - 4 1/2 = ? the amount of candy she has left.
To find out how many gift bags Gayle can fill completely, we need to divide the total amount of candy she has by the amount of candy she puts in each gift bag.
First, let's convert 5 1/3 pounds to an improper fraction. We have 5 whole pounds plus 1/3 pound, so we need to convert pounds to thirds.
To convert whole pounds to thirds, we multiply the whole number by the denominator of the fraction, which gives us 5 x 3 = 15 thirds.
Now we add the numerator of the fraction to get the final amount in thirds: 15 + 1 = 16 thirds.
Next, we divide the total amount of candy in thirds by the amount of candy in each gift bag, which is 1 1/2 pounds or 3/2 pounds.
To divide fractions, we multiply the first fraction by the reciprocal (or flip) of the second fraction.
So, we have: (16 thirds) / (3/2 pounds)
To multiply fractions, we multiply the numerators together and the denominators together.
(16/1) x (2/3) = (32/3)
Now we have the result in thirds. To find out how many gift bags she can fill completely, we need to convert this fraction to a whole number.
Divide the numerator by the denominator: 32 ÷ 3 = 10 with a remainder of 2.
This means Gayle can fill 10 gift bags completely, with 2/3 of a gift bag remaining.
To find the fraction of a pound of candy she will have left, we need to find the remainder of the division.
There are 3 thirds in 1 pound, so 2 thirds represent 2/3 of a pound.
Therefore, Gayle will have 2/3 of a gift bag left and 2/3 of a pound of candy left.