Fractions, Word Problems

1. Fractions, Word Problems Example 1 Last night, Lynn spent 1 1/6 h writing her English composition and 1 3/10 h working on her Math worksheets. How much time did she spend on her homework altogether? English Math Total Time = Time for English + Time for Math = + = + = = h

2. Subtract the actual time from planned time. Fractions, Word Problems Example 2 It took him lesser amount of time to finish his homework than what was planned. Ali planned to complete his homework in 1 ½ h. He finished his homework in 1 1/3 h instead. How much less time did he take to finish his homework? Planned Planned Actual Actual ? Less Time Less Time = Planned Time - Actual Time - - = = = h

3. Fractions, Word Problems Example 2 (Variation) Ali planned to complete his homework in 1 ½ h. He finished his homework in 1 1/3 h instead. How much less time did he take to finish his homework? Planned Planned Actual ? Less Time Less = Planned Time - Time Actual Time Actual - = - = = h

4. Example 3 Fractions, Word Problems Bala had 2 similar loaves of bread. He used ¾ of a loaf of bread to make sardine sandwiches. He used 1/2 of a loaf of bread to make egg sandwiches. a. How many loaves of bread did Bala use altogether? Egg Sardine Total Loaves Used = = = =

5. Example 3 Fractions, Word Problems Bala had 2 similar loaves of bread. He used ¾ of a loaf of bread to make sardine sandwiches. He used 1/2 of a loaf of bread to make egg sandwiches. b. How much more bread did he use to make sardine sandwiches than egg sandwiches? Egg Sardine Difference = = =

6. Fractions, Word Problems Example 4 Gina used 3/8 kg of butter to make buns and ½ kg of butter to make cream puffs. She had 1/8 kg of butter left. a. How much butter did Gina use altogether? Cream Puffs Buns Total Used = = =

7. Fractions, Word Problems Example 4 Gina used 3/8 kg of butter to make buns and ½ kg of butter to make cream puffs. She had 1/8 kg of butter left. b. How much butter did she have at first? Total Used Amount of butter left. At first = = =

8. Means divide I loaf into 3 parts and take 2 parts Fractions, Word Problems Example 5 David had 2 similar loaves of bread. After making some sandwiches, he had 2/3 of a loaf of bread left. How many loaves of bread did David use? = = = ? Amount of bread left. Amount of bread used. 1 loaf of bread 1 loaf of bread

9. Fractions, Word Problems Example 6 Mrs. Chen has 9 stalks of roses. 6 of them are red. The rest are yellow. a. What fraction of the roses are red? You should know the total number of roses Six out of nine roses are red. b. What fraction of the roses are yellow? and the number of red roses. You should know the total number of roses Three out of nine roses are yellow. and the number of yellow roses.

10. Fractions, Word Problems Example 7 There are 6 pupils in a class. 2 of them are girls. a. What fraction of the class are girls? 2 out of 6 are girls. Two sixths are girls.

11. Fractions, Word Problems Example 7 There are 6 pupils in a class. 2 of them are girls. b. What fraction of the class are boys? 4 out of 6 are boys. Four sixths are boys.

12. Fractions, Word Problems Means divide the cheese into 3 parts and take 2 parts. Example 8 Shanti had ¾ kg of cheese. She used 2/3 of the cheese to bake a cake. What was the mass of cheese she used? 12 = ? g = Amount of cheese used. 12 g

13. Fractions, Word Problems Example 8 Shanti had ¾ kg of cheese. She used 2/3 of the cheese to bake a cake. What was the mass of cheese left? 12 = ? g = Amount of cheese used. 12 g 12 g of = = =

14. Fractions, Word Problems Example 8 Shanti had ¾ kg of cheese. She used 2/3 of the cheese to bake a cake. What was the mass of cheese left? 12 Amount of cheese left. ? = Amount of cheese used. 12 g What fraction of the cheese left?

15. Fractions, Word Problems Example 8 Shanti had ¾ kg of cheese. She used 2/3 of the cheese to bake a cake. What was the mass of cheese left? 12 Amount of cheese left. ? = Amount of cheese used. 12 g What fraction of the cheese left? 12 g of = = =

16. Instead of 12 g from our last example. Fractions, Word Problems Example 8 (variation) Shanti had ¾ g of cheese. She used 2/3 of the cheese to bake a cake. What was the mass of cheese left? Amount of cheese used. Amount of cheese left. ? You should know the methods used in getting fraction of a set. What fraction of the cheese left? = of =

17. Means divide the container into 5 parts and take 2 parts. Fractions, Word Problems Example 8 A tank can hold 35 l of water. Some water was poured out and is now 2/5 full. How much water has been poured from the tank? ? ?Amount of water poured. ? Amount of water left. What fraction of the water poured? 35 l

18. Fractions, Word Problems Example 8 A tank can hold 35 l of water. Some water was poured out and is now 2/5 full. How much water has been poured from the tank? ? ?Amount of water poured. Amount of water left. What fraction of the water poured? 35 l l = of =

19. Means divide the class into 3 parts and take 1 part. Fractions, Word Problems Example 9 There are 36 pupils in a class. 1/3 of the pupils wear glasses. How many pupils do not wear glasses? How many wear glasses? ? ?Don’t wear glasses. ? Wear glasses. Don’t wear glasses. pupils How did you get 12? What fraction of the pupils don’t wear glasses? 36 - 24 pupils = of = pupils

20. Fractions, Word Problems Example 9 There are 36 pupils in a class. 1/3 of the pupils wear glasses. How many pupils do not wear glasses? How many wear glasses? ? ?Don’t wear glasses. Wear glasses. pupils How did you get 12? 36 of =

21. Fractions, Word Problems Example 10 There are 30 girls in a class. 2/3 of the pupils in the class are girls. How many pupils are boys? The girls are 2 parts of 3 parts. The class is divided into 3 parts. ? boys boys 30 girls ? girls girls 2 units = 30 1 unit = 15 15 15 15 class There are 15 boys in the class.