Multiplying Fractions and Mixed Numbers
1/4 of 40
1/4 x 40/1 = 40/4 = 10
3/4 divided by 6
3/4 divided by 6/1= 3/4 x 1/6 = 1/8
Mrs. Blazin has 1/2 pound of pencils. She gives 2/3 of them to her students. How many pounds of pencils did she give to her students?
2/3 of 1/2 = 2/3 x 1/2 = 1/3
Mrs. Blazin gives 1/3 of a pound of pencils to her students.
Constance has a garden. She plants flowers to cover 3/4 of the garden. 2/3 of the flowers are sunflowers. What fraction of the garden is planted with sunflowers?
1/2 of the garden is planted with sunflowers.
What units would I use to show the area of a 4ft by 2ft rectangle.
Feet squared
Square Feet
Ft2
sq.ft
1/6 x 12/13
cross simplify 6 and 12 = 2/13
3/4 divided by 15/16
3/4 x 16/15 = cross simplify both ways... = 1/1 x 4/5 = 4/5
A bag of flour weights 3/4 Kg. If a baker buys 5 bags, how many Kg of flour will they have purchased?
3/4 x 5/1= 15/4 = 3 3/4
The baker purchased 3 3/4 Kg of flour.
Molly has a piece of string that is 5/6 yard long. She uses 3/5 of the piece of string to tie a present. What is the length of the string left?
1/3 yard of the string is left.
What is 1/4 as a decimal?
1/4 = 25/100 = 0.25
2 1/5 x 1 4/11
11/5 x 15/11 = 3
12 divided by 2/3
12/1 divided by 2/3 = 12/1 x 3/2 = cross simplify 12 and 2 = 18
Jane's bird feeder holds 1/2 of a cup of birdseed. Jane is filling the bird feeder with a scoop that holds 1/8 of a cup. How many scoops of birdseed will Jane put into the feeder?
1/2 ÷ 1/8 = 1/2 x 8/1 = 4
Jane will put 4 scoops of birdseed into the birdfeeder.
A twin bed measures 6 1/4ft by 3 1/5. What is the area of a twin bed?
20 ft2
Which statement can be represented by the expressions 1 2/3 x 5?
A. A store has 5 bottles of bubbles. They use 1 2/3 bottles bottles of bubbles.
B. A cook has 5 packages of carrots. Each packet weighs 1 2/3 kg.
C. A tank has 5 gallons of water. 1 2/3 gal is drained from the tank.
D. A grocery store has 5 pounds of trail mix. They pack the mix into bags of 1 2/3lbs.
B. is correct!!
A is subtraction
C is subtraction
D is division
(4/5 - 1/2) x 3/8
(8/10 - 5/10)= 3/10 x 3/8 = 9/80
6/7 ÷ 1 1/5
6/7 ÷ 6/5 = 6/7 x 5/6 = cross simplify the 6s... = 5/7
Carl and his brother made 2/3 of a gallon of lemonade to sell at their lemonade stand. They divided the lemonade equally among 4 paper cups. How much lemonade was in each paper cup?
2/3 ÷ 4/1 = 2/3 x 1/4 = 1/6
Each paper cup holds 1/6 of a gallon of lemonade.
Mrs. Blazin bought a piece of cloth measuring 1 3/4 meter by 2/7meter . She bought the cloth at $12 per square meter. How much did she pay for the cloth?
1/2 m2 x 12 = $6
Mrs. Blazin paid $6 for the cloth.
In a bag of trail mix, 1/4 of the pieces are pretzels. 1/2 of the remaining pieces are sesame sticks. There are 48 sesame sticks. The remaining pieces are chocolate chips. How many pieces are sesame sticks and chocolate chips?
96 pieces are sesame sticks and chocolate chips.
(3/5 - 3/10) x 30
(6/10 - 3/10) = 3/10 x 30/1 = 90/10 = 9
4 6/7 ÷ 2 3/7
34/7 divided by 17/7 = 34/7 x 7/17= cross simplify both ways... = 2
A rectangular fence measures 7 1/2 feet by 3 3/5 ft. What is the area of the rectangular fence?
7 1/2 x 3 3/5 = 15/ 2 x 18/5= cross simplify both ways = 27 square feet OR 27 ft2
(Use X-Model)
Along the path to the playground, painted butterflies are located 1 and 1/2 meters apart from one another. There are a total of 12 butterflies. How long is the playground path?
11 spaces between = 11 x 1 1/2 = 16 1/2
The playground path is 16 1/2 meters long.
Diego collects stamps as a hobby. He gives his cousin 1/3 of the stamps collection. He then gives his sister 5/6 of the remainder and has 80 stamps left. How many stamps did he have at first?
Diego had 720 stamps at first.