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Dividing by Fractions- Word Problems HELP asap please... THANKS!!!?
Brad made cupcakes for a sale. The recipe called for 1 1/3 cups of sugar. He used the 5 cups of sugar that he had. How many recipes of cupcakes did he make if he had all other ingredients on hand?
I don't know why but I think this problem has no answer because how would we know how many recipes of cupcakes he made with the other ingrediants when there were none besides sugar mentioned? I"m confused please help
Each banner requires 2/5 of a yard of fabric. How many banners could you make with 5 1/2 yards of fabric?
At a bake sale, one pan of chocolate was 1/3 full. Mr. Fu bought 3/4 of what was left. What part of the pan of brownies did Mr. Fu buy? Explanation please :)
A recipe called for 3 1/2 cups of flour. He could make only 3 3/4 recipes. How much flour did he have?
I appreciate all your help and I would love it even more if you can give me a clear mathematical explanation or maybe even some drawings as to how I would understand it
2 Answers
- MoonRoseLv 71 decade agoFavorite Answer
5/(1 1/3) = 5/(4/3) = 5 * 3/4 = 15/4 or 3 3/4 recipes
The problem states that he has all other ingredients on hand, which means he has enough of them. The only reason this statement was included in the problem was so that you DIDN'T have to take them into account.
(5 1/2)/(2/5) = (11/2)/(2/5) = 11/2 * 5/2 = 55/4 or 13 3/4 banners
Mr. Fu bought 3/4 of 1/3, so you multiply.
(1/3)(3/4) = 3/12 = 1/4 of the pan of brownies
(3 3/4)(3 1/2) = (15/4)(7/2) = 105/8 or 13 1/8 cups of flour
Dividing fractions is the same as multiplying by the reciprocal. For example, 1/2 divided by 3/4 is the same as 1/2 times 4/3 (you keep the first fraction, change the division sign to multiplication, and then "flip" the second fraction). When dealing with mixed numbers, you convert them into improper fractions first. To do this, multiply the whole number by the denominator and then add the product to the numerator and keep it over the original denominator. For instance, if you have 1 5/8, you multiply the whole number 1 by the denominator 8, which gives you 8. Then you add it to the numerator 5, which gives you 13. The denominator is still 8, so 1 5/8 = 13/8.
- 1 decade ago
The problem mentioned that he had enough of all the other ingredients. This means we don't have to worry about them at all. We are only worried about how many recipes he could make with the available sugar which is 5 cups. Since each recipe calls for 1 1/3 cups, we just divide 5 by 1 1/3 which equals 3.75. Assuming he can only make whole batches, we'd throw out the .75 so he can only make 3 batches. If he can make partial batches then we'd leave the decimal places.
The banner problem is solved in exactly the same way, 5 1/2 divided by 2/5 and then throw out the decimal places in the answer.
For the bake sale problem just multiply 1/3 by 3/4, To understand how this works, draw a pan cut into 12 pieces, 1/3 of this would be 4 pieces. Now color in 3 pieces of these four pieces. You took 3 of the 4 pieces or in other words, (3/4) times (1/3). Your answer will be the fraction of pieces Mr. Fu took out of the 12 total.
The flour problem rests on the same idea as the first 2 problems. Only this time we multiply instead of divide to get our answer. (3.5 times 3.75=?)
