1) To find the fraction of the pizza covered with only cheese, add the fractions of mushrooms and onions and subtract from 1.
- Mushrooms: 5/15
- Onions: 1/5 = 3/15
- Total toppings: 5/15 + 3/15 = 8/15
- Cheese: 1 - 8/15 = 7/15
Answer: 7/15 of the pizza is covered with only cheese.
2) Mario starts with 15/16 of a pizza and eats 1 1/16 of it.
- Convert 1 1/16 to an improper fraction: 17/16
- Subtract: 15/16 - 17/16 = -2/16 = -1/8
Since he eats more than he has, this implies he ate all 15/16 and had to get 2/16 more, but the question asks how much pizza he has left. Since he ate more than he had, he has 0 left.
Answer: 0 pizza left.
3) Rej has 4 7/12 pizzas, and 1 1/12 of them have no toppings.
- Convert 4 7/12 to an improper fraction: 55/12
- Convert 1 1/12 to an improper fraction: 13/12
- Subtract: 55/12 - 13/12 = 42/12 = 3 6/12 = 3 1/2
Answer: 3 1/2 pizzas have toppings.
4) Elena baked 4 pizzas. She topped 2 2/5 with hot peppers and 3/5 with mushrooms.
- Convert 2 2/5 to an improper fraction: 12/5
- Total topped: 12/5 + 3/5 = 15/5 = 3 pizzas
- Cold pineapple slices: 4 - 3 = 1 pizza
Answer: 1 pizza was topped with cold pineapple slices.
5) Tucker baked 2 1/3 pizzas and ordered another 5/7 from his local pizzeria.
- Convert 2 1/3 to an improper fraction: 7/3
- Total pizza: 7/3 + 5/7
- Find a common denominator: 21
- 7/3 = 49/21, 5/7 = 15/21
- Total: 49/21 + 15/21 = 64/21
- He shares 1 5/6 with friends: convert to improper fraction: 11/6
- Convert 11/6 to 21st denominator: 11/6 = 38.5/21 (not possible, so use 42)
- Common denominator of 21 and 6 is 42
- 64/21 = 128/42, 11/6 = 77/42
- Subtract: 128/42 - 77/42 = 51/42 = 1 9/42 = 1 3/14
Answer: 1 3/14 pizzas left.
Parent Tip: Review the logic above to help your child master the concept of multi step word problems with fractions worksheet.
