Visual Models
Sarah has 3/4 of a chocolate bar. She decides to share 1/2 of what she has with her friend. How much of the chocolate bar does Sarah give to her friend?
Sarah gives 3/8 of the chocolate bar to her friend.
A bakery made an assortment of cookies. 3/4 of the cookies are oatmeal. Of the oatmeal cookies, 1/3 have chocolate chips. What fraction of all the cookies are oatmeal with chocolate chips?
The empire state building is 1,250 feet tall and is rescaled. Using 5/6 x 1,250, how does the rescaled version compare to the actual height of the building? Use shorter, taller, or the same in your answer.
The rescaled version is shorter.
Simplify the fraction 12/18
2/3
Convert 2 3/5 to an improper fraction.
13/5
A recipe calls for 3/4 of a cup of sugar, but you only want to make half of the recipe. How much sugar should you use?
You should use 3/8 of a cup of sugar.
A recipe calls for 3/4 of a cup of sugar, but Tanya only wants to make half of the recipe. How much sugar should she use?
Tanya should use 3/8 of a cup of sugar.
The empire state building is 1,250 feet tall and is rescaled. Using 6/7 x 1,250, how does the rescaled version compare to the actual height of the building? Use shorter, taller, or the same in your answer.
The rescaled version is taller.
Simplify the fraction 15/25
3/5
Convert 17/4 to a mixed number.
4 1/4
A ribbon is 5/6 meters long. Mary uses 2/3 of the ribbon to decorate her room. How much of the ribbon does Mary use?
Mary uses 5/9 of the ribbon to decorate her room.
If each box contains 2/5 of a kilogram of rice, how much rice is there in 6 boxes?
There are 12/5 kilograms of rice, which is equivalent to 2 2/5 kilograms.
The empire state building is 1,250 feet tall and is rescaled. Using 3/3 x 1,250, how does the rescaled version compare to the actual height of the building? Use shorter, taller, or the same in your answer.
The rescaled version is the same as the original.
Simplify the fraction 36/48.
3/4
What is the least common denominator of 7/9 and 5/6?
The LCD is 18.
A farm has 4/5 of an acre planted with apple trees. Out of the apple trees, 3/4 of them are dwarf apple trees. How much of the total farm is planted with dwarf apple trees?
3/5 of the farm is planted with dwarf apple trees.
A piece of fabric is 3 1/4 meters long. If you cut it into 2 equal pieces, how long will each piece be?
Each piece will be 13/8 meters, or 1 5/8 meters long.
A student wants to make a model size of his favorite toy. He says that he should multiplying the original height (3/4 yard) by 2 to create his model. Would this create a model that is an appropriate size to take to school? Why or why not?
No, the model would be bigger than the original. So, it would not be an appropriate size to take to school.
Simplify the mixed number 7 14/21.
7 2/3
Find the least common multiple of 8 and 12.
The LCM is 24.
A train travels at a speed of 3/4 of its maximum speed of 5/6 of the journey. How much of the total journey does the train travel at this speed?
The train travels 5/8 of the total journey at 3/4 of its maximum speed.
A factory produces 2/3 of a toy each day. If the factory operates for 5/8 of the month, how much of a toy will the factory produce during that time?
The factory will produce 5/12 of a toy during that time.
A group of students want to make a model size of their favorite toy. One student says that he should multiplying the original height (3/4 yard) by 2 to create his model. His friend says they should multiple the original height by 1/3. To create a model that is an appropriate size to take to school, which student is correct? Why?
The friend is correct. The first student would actually make the model bigger than the original, so that would not be appropriate for school. By multiplying by 1/3, the model would be smaller; therefore, making it appropriate to bring to school.
Simplify the mixed number 8 16/24.
8 2/3
Find the least common multiple of 15 and 20.
The LCM is 60.