Add/Sub fractions
Solve:
9/10 - 3/5
3/10
Solve:
5 ÷ 1/6=
30
Explain in words how you would tell someone to solve this problem:
6 ÷ 1/4
OR
Keep, change, flip
OR
Draw a model with 6 squares, cut into fourths and count how many pieces there are.
What operation would you use to solve this and how do you know? WRITE IN WORDS and then write the expression
Jada pours 1/2 gallon of fruit punch equally into 4 containers. How many gallons of fruit are in each container?
It is dividing because it gives you a total and you are splitting it into the containers
OR
Equally and each indicate you are dividing
Expression: 1/2 ÷ 4
Solve:
2/5 - 1/5 ÷ 3
5/15
Solve:
5/6 + 3/4
38/24= 1 14/24= 1 7/12
Solve:
1/8 ÷ 7=
1/56
Explain in words how you would tell someone to solve this problem:
4/5 x 2/3
Multiply across
What operation would you use to solve this and how do you know? WRITE IN WORDS and then write the expression
A chef cuts his pizza into 1/6 pieces. He has 6 pizzas. How many slices can he make?
Division because you're taking a whole and cutting it into pieces which makes more pieces.
OR
Division because he is cutting and slicing things
Expression: 6 ÷ 1/6
Solve:
5 - 4/5 x 1/2 + 4
8 6/10
Solve:
3 2/3 - 1 1/5
2 7/15
Solve:
9 x 5/6
Write as a mixed number and in simplest form for full points!
45/6= 7 3/6= 7 1/2
Explain in words how you would tell someone to solve this problem:
7 2/3 + 6 5/6
Change denominator, change numerator, add fraction, add whole numbers, then change fraction greater than 1 into mixed number
What operation would you use to solve this and how do you know? WRITE IN WORDS and then write the expression
A baker has a batch of cookies, and 2/5 of the cookies are chocolate chip. If they decide to only sell 1/3 of the chocolate chip cookies, what fraction of the entire batch of cookies are the chocolate chip cookies they plan to sell?
Multiplying because you're taking a piece of a piece.
OR
Multiplying because you're looking for a smaller fractions
Expression: 1/3 x 2/5
True or false? Explain how you know.
6 + 3/5 x 1/4 = 1/4 x 3/5 + 6
True because you would first multiply on both sides.
Solve:
5 4/5 + 3 3/4
8 31/20= 9 11/20
Solve:
5/6 x 7/5
Must be written as a mixed number
35/30= 1 5/30
Explain in words how you would tell someone to solve this problem:
3 1/7 - 1 1/2
Change the denominator, change the numerator, regroup from the whole, then subtract.
What operation would you use to solve this and how do you know? WRITE IN WORDS and then write the expression
Billy has 36 water bottles. He drank 1/5 of them. How many water bottles did he drink?
Multiplication because you're taking a piece of a whole.
OR
Multiplication because the answer is getting smaller and when you multiply a whole and fraction your answer gets smaller.
Expression: 36 x 1/5
True or false? Explain how you know.
7 - 1/2 ÷ 2 = 7 - 2 ÷ 1/2
False because 1/2 ÷ 2 and 2 ÷ 1/2 would lead to different answers.
Solve:
7 1/5 - 3 2/3
3 8/15
Solve:
4 2/3 x 2 1/5 =
Must be written as a mixed number
154/ 15 = 10 4/15
Explain in words how you would tell someone to solve this problem:
5 4/6 x 2 1/2
You need to turn both numbers into fractions greater than 1 and then multiply across and then turn it back into a mixed number.
What operation would you use to solve this and how do you know? WRITE IN WORDS and then write the expression
Mr. Mendes spends 15 minutes driving to the gym. This is only 1/4 of the time it takes him to get to work. How many minutes does it take for him to get to work?
This is a division problem because you want your answer to be bigger and when you divide a whole number and a fraction your number gets bigger.
OR
It gives you a piece and you're looking for a whole so you need to divide
Expression: 15 ÷ 1/4
True or false? Explain how you know.
1/6 + 4/6 x 3 = 5/6 x 3
False because on the left side you would have to multiply 4/6 x 3 first and that would lead you to a different answer than the one on the right side.