Lesson 11-1
What is the product?
4 x 1/5 = ___
4/5
What is the missing numerator?
3 x 5/6 = __ / 6
15 / 6
What is the product? Complete the equation.
6 x 3/5 = __ x 3 x 1/5
= __ x 1/5
= __
First: 6
Second: 18
Third: 18/5
What is the product? Complete the equation.
5 x 2 1/4 = 5 x (__ + 1/4)
= (5 x __) + (5 x 1/ __)
= 10 + __ / __
= 10 __ / __
= 11 __ / __
First: 2
Second: 2 & 4
Third: 5/4
Fourth: 5/4
Fifth: 1/4
Sixth:
Show your work or explain your thinking.
Rachel needs 2 1/4 cups of flour for each muffin batch. How many cups of flour will she need for 6 batches?
13 2/4 cups; Sample answer:
6 x 2 1/4 = c;
6 x (2 + 1/4) = c;
(6 x 2) + (6 x 1/4) = c;
12 + 6/4 = c;
13 2/4 = c
What is the missing factor?
___ x 1/8 = __ /__
3
What is the product?
4 x 2/5 = ___
8/5
What is the product? Complete the equation.
5 x 3/4 = __ x 3 x 1/4
= __ x 1/4
= __ /4
= 3 __/4
First: 5
Second: 15
Third: 15
Fourth: 3
What is the product? Complete the equation.
3 x 3 1/6 = 3 x ( __ + 1/6)
= (3 x __) + (3 x 1/__)
= __ + 3/6
= __ 3/6
First: 3
Second: 3 & 6
Third: 9
Fourth: 9
Show your work or explain your thinking.
Damian plants 3 1/5 bags of seeds every hour. How many bags of seeds does he plant in 5 hours?
5 x 3 1/5 = b; 16 bags; Sample answer:
5 x 3 1/5 = b;
5 x (3 + 1/5) = b;
(5 x 3) + (5 x 1/5) = b;
15 + 5/5 = b;
b = 16
Students used 7/10 of a bottle of glitter for art projects. Each art project required 1/10 of a bottle of glitter. How many art projects did the class create?
7 art projects; Sample answer: 7 x 1/10 = 7/10
Fred has 3 bags of marshmallows. Each bag contains 3/4 cup. How many cups of marshmallows does Fred have?
9/4; sample answer: 3 x 3/4 = 9/4
Show your work or explain your thinking.
Jaimie walks 5/6 of a mile to and from school each day. How many miles does she walk to and from school in 5 days?
4 1/6 miles; Sample answer: 5 x 5/6 = 25/6; 25/6 can be rewritten as 4 1/6.
Brenda used 2 3/8 gallons of gas each week. How many gallons of gas does she use in 4 weeks?
9 4/8 gallons; sample answer:
4 x 2 3/8 =
4 x (2 + 3/8) =
(4 x 2) + (4 x 3/8) =
8 + 12/8 = 9 4/8
Harlow and her 3 friends each have 2/3 cups of orange juice. They need 4 cups of orange juice for a recipe.
How much more orange juice do they need for their recipe?
Harlow and her friends need 4/3, or 1 1/3, more cups of orange juice for the recipe.
What is the product?
3 x 1/6 = __ / 6
3/6
What is the product?
2 x 5/8 = __
10/8
What is the product?
3 x 2/8 = 3 x 2 x 1/8
= 6 x 1/8
= __ / 8
6/8
Tara ran 3 1/8 miles three times last week. How many miles did she run?
1. 9 1/8 miles
2. 9 3/8 miles
3. 75/8 miles
4. 75/24 miles
2. 9 3/8
3. 75/8
Drew has 3 brothers, and each drinks 3 1/2 cups of milk each day. How many cups of milk do Drew's brothers drink each day?
10 1/2
What is the product?
5 x 1/3
5/3
Michael ran 7/10 miles each day for 10 days. He says he ran 70/100 miles in all. Do you agree with Michael? Explain why or why not.
I do not agree; Sample answer:
10 groups of 7/10 is 70/10 or 7. Michael ran 7 miles.
Helen combines 5 bags of seeds to make bird food. Each bag contains 3/4 pound. How many pounds of bird food will she have?
15/4 or 3 3/4
Paige is multiplying 2 x 1 7/8. She says she can rewrite the product as 2 x 15 x 1/8. Do you agree?
Yes; Sample answer:
She can change the mixed number into an equivalent fraction. Then decompose to multiply.
Show or explain the answer.
Gilbert uses 7/10 meter of wood to make a small birdhouse and 1 2/10 to make a large birdhouse. How many meters of wood does he need to make 4 small birdhouses and 2 large birdhouses?
5 2/10