Comenzamos comentando las soluciones al problema de la sesión anterior. ¿Qué recetas habéis preparado?
Many times, as in the previous activities, we need to divide a quantity by a number, and then multiply the result by a different number. For this, we use the [b]fraction of a number.[/b][br][br][b]Example: [br][math]\text{\frac{3}{8}}[/math] [/b]of 50 is the result of dividing 50 by 8, and then multiplying the result by 3.[br][br][math]\text{\frac{3}{8}}[/math] of 50 = [math]\text{(50:8)·3 = 6.25· 3 = 18.75}[/math][br][br]This is the same as multiplying by 3, and then dividing by 8:[br][br][math]\text{\frac{3}{8}}[/math] of 50 = [math]\text{(50·3):8 = 150:8 = 18.75 }[/math][b][br]Check the result in the next applet![br][/b]
1) You have filled [math]\text{\frac{1}{2}}[/math] of a bottle of 50 ml. How much water do you have?[br][br]2) You have filled [math]\text{\frac{2}{3}}[/math] of a bottle of 200 ml. How much water do you have?[br][br]3) You have filled [math]\text{\frac{4}{6}}[/math] of a bottle of 150 ml. How much water do you have?[br][br]4) You have [math]\text{1\frac{1}{4}}[/math] bottles of 200 ml. How much water do you have? [br][i]Bonus: Find all possible ways to solve part 4). Can you express that number in a different way?[br][br]Tip: Use the previous applet to check your solutions! Do they make sense?[/i]
Let's turn this around![br][br]1) You put 50 ml of water in a bottle of 200 ml. What part of the bottle is filled?[br][br]2) You put 100 ml of water in a bottle of 300 ml. What part of the bottle is filled? [br][br]3) You put 20 ml of water in a bottle of 50 ml. What part of the bottle is filled?[br][br]Simplify your fractions!
1) You put 50 ml of water inside a bottle, and notice that 2/5 are filled. What is the size of the bottle?[br][br]2) You put 20 ml of water inside a bottle, and notice that 3/5 are filled. What is the size of the bottle? Is it bigger than the previous one? Does it make sense?[br][br]3) You have 500 ml of water, but one bottle is not enough! You need some other bottles! [br]When you finish, you notice that you have filled 3 and a half bottles. What is the size of one bottle?