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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.

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Presentation on theme: "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."— Presentation transcript:

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? ++= == Fractions, Word Problems Example 1 EnglishMath Total Time = Time for English + Time for Math = h

2 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? - = = - ? Fractions, Word Problems Example 2 Planned Actual Less Time = Planned Time - Actual Time Less Time = h Actual Planned Subtract the actual time from planned time. It took him lesser amount of time to finish his homework than what was planned.

3 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? - = = - ? Fractions, Word Problems Example 2 (Variation) Planned Actual Less = Planned Time - Time Actual Time Less Time = h Actual Planned

4 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. === Egg Total Loaves Used = Sardine Fractions, Word Problems Example 3 a. How many loaves of bread did Bala use altogether?

5 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. == Difference = Fractions, Word Problems Example 3 Egg Sardine b. How much more bread did he use to make sardine sandwiches than egg sandwiches?

6 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. == Buns Cream Puffs Total Used = Fractions, Word Problems Example 4 a. How much butter did Gina use altogether?

7 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 At first = Fractions, Word Problems Example 4 Amount of butter left.

8 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? 1 loaf of bread Fractions, Word Problems Example 5 ? Amount of bread used. === Amount of bread left. Means divide I loaf into 3 parts and take 2 parts

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

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

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

12 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 Fractions, Word Problems Example 8 12 g = Amount of cheese used. = ? g Means divide the cheese into 3 parts and take 2 parts.

13 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 of 12 g Fractions, Word Problems Example 8 = Amount of cheese used. = ? g 12 g

14 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 Fractions, Word Problems Example 8 = Amount of cheese used. Amount of cheese left. ? What fraction of the cheese left? 12 g

15 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 of 12 g Fractions, Word Problems Example 8 = Amount of cheese used. Amount of cheese left. ? What fraction of the cheese left? 12 g

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

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

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

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

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

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


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