1. The cup can hold 7/9 of a pint. Emily pours in 2/3 of a pint of coffee. To find how much milk can be added, subtract the amount of coffee from the cup's capacity.
- Convert 2/3 to have a denominator of 9: 2/3 = 6/9.
- Subtract: 7/9 - 6/9 = 1/9.
- A customer can add 1/9 of a pint of milk.
2. One pitcher has 3/8 liter of milk and the other has 5/12 liter. To find the total, add the two amounts.
- Find a common denominator for 8 and 12, which is 24.
- Convert: 3/8 = 9/24 and 5/12 = 10/24.
- Add: 9/24 + 10/24 = 19/24.
- There is 19/24 liter of milk altogether.
3. Each large cookie is 5/6 oz and each small cookie is 4/9 oz. For 2 large cookies and 1 small cookie:
- Weight of 2 large cookies: 2 * (5/6) = 10/6 = 5/3 oz.
- Weight of 1 small cookie: 4/9 oz.
- Add: 5/3 + 4/9. Common denominator is 9: 5/3 = 15/9.
- Total: 15/9 + 4/9 = 19/9 oz, or 2 1/9 oz.
4. The bigger bag has 4/5 kilogram and the smaller has 7/12 kilogram. To find how much more the bigger bag has, subtract.
- Common denominator for 5 and 12 is 60.
- Convert: 4/5 = 48/60 and 7/12 = 35/60.
- Subtract: 48/60 - 35/60 = 13/60.
- The bigger bag has 13/60 kilogram more coffee.
5. The first cheesecake had 3 slices left out of 16, so 3/16 remains. The second cheesecake had 10 slices total, 4 sold, so 6 are left: 6/10 = 3/5.
- Add the remaining fractions: 3/16 + 3/5.
- Common denominator is 80: 3/16 = 15/80 and 3/5 = 48/80.
- Total: 15/80 + 48/80 = 63/80.
- 63/80 of a cake is left in the fridge.
6. The bag started with 4/5 kg of sugar. The chef used 1/10 kg for a can and 3/20 kg for a cake.
- Total used: 1/10 + 3/20. Common denominator is 20: 1/10 = 2/20.
- Used: 2/20 + 3/20 = 5/20 = 1/4 kg.
- Subtract from original: 4/5 - 1/4. Common denominator is 20: 4/5 = 16/20 and 1/4 = 5/20.
- Left: 16/20 - 5/20 = 11/20 kg.
- 11/20 kilogram of sugar is left in the bag.
Parent Tip: Review the logic above to help your child master the concept of 5th grade math fraction word problems worksheet.
