Answer:
[tex]12\dfrac{1}{3}[/tex]
Explanation:
To add, subtract, divide or multiply mixed numbers, you must convert them into improper fractions.
1. Red grapes (cups)
[tex]1\dfrac{1}{2}[/tex]
[tex]1\dfrac{1}{2}=1+\dfrac{1}{2}=\dfrac{2}{2}+\dfrac{1}{2}=\dfrac{3}{2}[/tex]
2. Green grapes (cups)
[tex]4\dfrac{2}{3}[/tex]
[tex]4\dfrac{2}{3}=4+\dfrac{2}{3}=\dfrac{12}{3}+\dfrac{2}{3}=\dfrac{14}{3}[/tex]
3. Total number of grapes
Add the red and green grapes
You need to finde the least common denominator.
The least common denominator of 2 and 3: 2 × 3 = 6.
[tex]\dfrac{3}{2}+\dfrac{14}{3}=\dfrac{3\times 3+2\times 14}{6}=\dfrac{37}{6}[/tex]
4. Number of bags
Divide the total amount of grapes by the amount that each bag will contain:
[tex]\dfrac{37}{6}\div \dfrac{1}{2}=\dfrac{37}{6}\times \dfrac{2}{1}=\dfrac{37\times 2}{6 \times 1}=\dfrac{37}{3}[/tex]
5. Convert the improper fraction into mixed number:
- Divide 37 ÷ 3 = 12 plus remainder 1
[tex]12\dfrac{1}{3}[/tex]
