Practice Questions - Fractions
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1. Imagine Aldina is running a race. She completed half of the race in 30 seconds. How long did it take her to complete the entire race?
Answer: It took Aldina 60 seconds to complete the entire race. Since she completed half of the race in 30 seconds, we can double that time to find the total time.
2. Aldina has a role-play script that is divided into 4 equal parts. She practices one part each day. How many days will it take her to practice the entire script?
Answer: It will take Aldina 4 days to practice the entire script. Since the script is divided into 4 equal parts, she will need to practice one part each day for a total of 4 days.
3. Aldina plays chess with her friend. If she wins 3 out of 8 games, what fraction of the games did she win?
Answer: Aldina won 3/8 of the games. To find the fraction, we divide the number of games she won (3) by the total number of games played (8).
4. Aldina is learning to play the keyboard. She practiced for 45 minutes and then took a break for half an hour. How much total time did she spend on practicing and taking a break?
Answer: Aldina spent 75 minutes on practicing and taking a break. To find the total time, we add the time she spent practicing (45 minutes) and the time she spent taking a break (30 minutes).
5. Aldina loves singing. She has a collection of 12 different songs. If she wants to create a playlist with 1/4 of her songs, how many songs will be in the playlist?
Answer: Aldina will have 3 songs in her playlist. To find the number of songs, we multiply the total number of songs (12) by the fraction of songs she wants in her playlist (1/4).
Set 2: Fraction Operations
1. Aldina has a pizza that is divided into 8 equal slices. She ate 3 slices. What fraction of the pizza did she eat?
Answer: Aldina ate 3/8 of the pizza. To find the fraction, we divide the number of slices she ate (3) by the total number of slices (8).
2. Aldina's father baked a cake that was divided into 10 equal parts. Aldina and her friends ate 6 parts. What fraction of the cake is left?
Answer: 4/10 of the cake is left. To find the fraction, we subtract the number of parts eaten (6) from the total number of parts (10).
3. Aldina is making fruit juice using oranges. She squeezes 2/3 of an orange to make one glass of juice. How many glasses of juice can she make from 4 oranges?
Answer: Aldina can make 6 glasses of juice. To find the number of glasses, we multiply the number of oranges (4) by the fraction of an orange needed for one glass (2/3).
4. Aldina is sharing a box of chocolates with her sister. The box contains 15 chocolates. Aldina takes 1/3 of the chocolates. How many chocolates does she get?
Answer: Aldina gets 5 chocolates. To find the number of chocolates, we multiply the total number of chocolates (15) by the fraction she takes (1/3).
5. Aldina is organizing a running race at school. The race track is 3/4 kilometer long. Each lap around the track is 1/5 kilometer. How many laps will the runners have to complete to finish the race?
Answer: The runners will have to complete 15 laps to finish the race. To find the number of laps, we divide the total length of the race track (3/4 kilometer) by the distance covered in one lap (1/5 kilometer).