Adding & Subtracting Fractions
1/4 + 1/6
1/4 + 1/6 = 5/12
(1/2) × 6
(1/2) × 6 = 3
(1/3) ÷ 4
(1/3) ÷ 4 = 1/12
5 ÷ (1/5)
5 ÷ (1/5) = 25
Marley ate 2/3 of a pizza and her brother ate 1/4 of the same pizza. Use pictorial models or equivalent fractions to find how much pizza they ate together.
2/3 + 1/4 = 11/12
(2/3) × 4
(2/3) × 4 = 8/3 = 2 2/3
Luke has 1/2 of a cake left after his birthday. He wants to share the leftovers with his 2 friends. How much of the cake will each of the 3 friends get?
(1/2) ÷ 3 = 1/6
A rectangle is 2/3 units long and 3/4 units wide. Using tiling with unit fractional squares or an area model, find the area.
(2/3) x (3/4) = 6/12 = 1/2
Mia had 7/8 of a yard of ribbon. She used 1/3 yard. Using a pictorial model, how much ribbon is left?
7/8 − 1/3 = 21/24 − 8/24 = 13/24
Mrs. Whaley is baking cookies. The recipe calls for 2/3 cup of sugar. She wants to double the recipe. How much sugar should she use?
(2/3) x 2 = 4/3 = 1 1/3
How many 1/3-cup servings are in 4 cups of juice?
4 ÷ (1/3) = 12
A water tank is 11/12 full. After some use, it is 2/3 full. How much water was used?
1/12 − 2/3 = 11/12 − 8/12 = 3/12 = 1/4
A recipe calls for 2/3 cup sugar and 3/8 cup sugar. Use a pictorial model to add the amounts and give the total in lowest terms.
2/3 + 3/8 = 16/24 + 9/24 = 25/24 = 1 1/24
Jake is running sprints to train for a race. He runs 5/8 of a mile every day for a week (7 days). How far does he run in the week?
(5/8) x 7 = 35/8 = 4 3/8
A ribbon measuring 7 feet is cut into pieces each 1/3 foot long. How many pieces would result after the ribbon is cut?
7 ÷ (1/3) = 21
A baker has 1/3 of a pound of chocolate and wants to share it equally among 5 small gift boxes to make truffles. How much chocolate will go into each box?
(1/3) ÷ 5 = 1/15