Part of the Whole
A bag had 2/5 red marbles, 1/10 blue, and 3/10 green. What fraction are not red, blue, or green?
2/5 + 1/10 + 3/10 = 4/10 + 1/10 + 3/10 = 8/10 → 1 − 8/10 = 2/10 = 1/5
A farmer used 5/12 of his land for corn and 1/12 for wheat. How much land is left unused?
5/12 + 1/12 = 6/12 → 1 − 6/12 = 6/12 = 1/2
A pizza was cut into 12 slices. 5/12 were eaten by kids and 3/12 by adults. What fraction of pizza is left?
5/12 + 3/12 = 8/12 → 1 − 8/12 = 4/12 = 1/3
1/9 of the school earned extra recess, and 2/9 took recess in the morning. What fraction got recess in the afternoon?
1/9 + 2/9 = 3/9 → 1 − 3/9 = 6/9 = 2/3
3/8 of a class went to the library, and 2/8 went to the computer lab. What fraction stayed in the classroom?
3/8
A bakery sold 3/8 of its bread in the morning and 1/8 in the afternoon. What fraction remains?
3/8 + 1/8 = 4/8 → 1 − 4/8 = 4/8 = 1/2
A gardener planted 1/4 of the area with roses, 1/8 with tulips, and 3/8 with daisies. What fraction remains empty?
1/4 + 1/8 + 3/8 = 2/8 + 1/8 + 3/8 = 6/8 → 1 − 6/8 = 2/8 = 1/4
Out of a batch of cookies, 2/9 were chocolate chip and 4/9 were oatmeal. What fraction were not sold yet?
2/9 + 4/9 = 6/9 → 1 − 6/9 = 3/9 = 1/3
3/6 of the students like soccer, and 1/6 like basketball. What fraction like neither?
3/6 + 1/6 = 4/6 → 1 − 4/6 = 2/6 = 1/3
A tank was 3/8 full of water. After adding 2/8 more, what fraction is full now?
3/8 + 2/8 = 5/8
A car used 3/10 of its gas on Monday and 4/10 on Tuesday. What fraction is left?
3/10 + 4/10 = 7/10 → 1 − 7/10 = 3/10
5/9 of a garden was covered with grass. Later, 2/9 was turned into a flower bed. What fraction still has grass?
5/9 − 2/9 = 3/9 = 1/3
1/4 of the fruit basket had apples and 3/8 had oranges. What fraction had neither apples nor oranges?
1/4 + 3/8 = 2/8 + 3/8 = 5/8 → 1 − 5/8 = 3/8
A runner completed 2/5 of a race before lunch and 1/10 after lunch. What fraction still remains to finish?
2/5 + 1/10 = 4/10 + 1/10 = 5/10 → 1 − 5/10 = 5/10 = 1/2
A painter finished 3/8 of a wall in the morning and 2/8 after lunch. How much is left to paint.
3/8 + 2/8 = 5/8 → 1 − 5/8 = 3/
A classroom of 30 students: 1/3 were girls and 1/5 were boys. What fraction are other students?
1/3 + 1/5 = 5/15 + 3/15 = 8/15 → 1 − 8/15 = 7/15
A farmer harvested 3/10 of his field in the morning and 4/10 in the afternoon. What fraction remains unharvested?
3/10 + 4/10 = 7/10 → 1 − 7/10 = 3/10
During art class, 2/7 of the paint was used for posters and 3/7 for murals. What fraction is still available?
2/7 + 3/7 = 5/7 → 1 − 5/7 = 2/7
During practice, 1/3 of the players did drills, and 1/6 did sprints. What fraction did neither activity?
1/3 + 1/6 = 2/6 + 1/6 = 3/6 → 1 − 3/6 = 3/6 = 1/2
A bus was 4/10 full in the morning. 3/10 of the passengers got off. What fraction of the bus is now occupied
4/10 − 3/10 = 1/10
Out of 20 books, 1/4 were fiction and 2/5 were non-fiction. What fraction were other types?
1/4 + 2/5 = 5/20 + 8/20 = 13/20 → 1 − 13/20 = 7/20
A field was divided into 8 equal parts. 3/8 were planted with wheat and 2/8 with barley. What fraction of the field is still empty?
3/8 + 2/8 = 5/8 → 1 − 5/8 = 3/8
2/5 of a group chose pizza and 1/5 chose sandwiches. What fraction chose something else?
2/5 + 1/5 = 3/5 → 1 − 3/5 = 2/5
In a swimming class, 2/7 of the students swam laps, and 3/7 practiced diving. What fraction did something else?
2/7 + 3/7 = 5/7 → 1 − 5/7 = 2/7
A swimmer completed 2/5 of the laps in practice. Then she swam 1/10 more. What fraction has she completed now?
2/5 + 1/10 = 4/10 + 1/10 = 5/10 = 1/2