Wanda made 4 2/3 pounds of trail mix. If she puts 1 1/6 pounds into each bag, how many bags can Wanda fill?
4 2/3 = 14/3
1 1/6 = 7/6
14/3 / 7/6 = 28/6 / 7/6 = 28/7 = 4
To find out how many bags Wanda can fill, we need to divide the total amount of trail mix she made by the amount she puts into each bag.
Let's convert the mixed fraction into an improper fraction for easier calculation.
4 2/3 = (4 * 3 + 2) / 3 = 14/3
Now, we divide the total amount of trail mix by the amount per bag:
14/3 ÷ 1 1/6
To divide fractions, we need to convert the division into multiplication by flipping the second fraction. So, we have:
14/3 × 6/7
Next, we multiply the numerators together and the denominators together:
(14 × 6) / (3 × 7) = 84/21
The fraction 84/21 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(84 ÷ 3) / (21 ÷ 3) = 28/7
Finally, we simplify the fraction:
28/7 = 4
Therefore, Wanda can fill 4 bags with the given trail mix.
4 2/3 ÷ 1 1/6
= 14/3 ÷ 7/6
= 14/3 * 6/7
= ...