Fractions x Whole Numbers
1/7 x 14
14/7 = 2
Is the answer greater, less than, or equal to 3/4?
3/4 x 7/8
Less than: 21/32
When multiplying 3/4 by anything less than one decreases the product.
2 1/5 x 4 2/3
Convert to improper fractions first.
11/5 x 14/3
154/15 =
10 4/15
3/5 x 1 1/5
Is this product greater, less than, or equal to 3/5?
Greater.
When multiplying a fraction by a mixed number, the product increases.
Jason bought 15 comic books. 2/5 of them are Avengers. How many books are Avengers? Draw a model and solve.
Draw 15 circles. Color 2/5 of them.
15 x 2/5 = 30/5
6 comic books are Avengers.
25 x 1/5
25/5 = 5?
Is the answer greater, less than, or equal to 3/8?
3/8 x 5/5
Equal to: 15/40 = 3/8
When multiplying any number by 1, the product stays the same.
3 1/4 x 6=
13/4 x 6= 78/4
Simplified = 19 1/2
3/5 x 3/5
Is the product greater than, less than, or equal to 3/5?
Less.
When multiplying a fraction by a fraction, the product decreases.
In Mrs. Krueger's class, 1/2 of the students like to play video games. Of the students who play video games, 3/4 of them like Fortnite. 2/3 also like Guitar Hero.
What fraction of the students like to play Fortnite? What fraction like Fortnite and Guitar Hero?
1/2 x 3/4 = 3/8 like Fortnite
3/8 x 2/3 = 6/24 = 1/4 like Fortnite and Guitar Hero
In Mrs. Krueger's class, 2/3 of the students like candy. Of the students who like candy, 3/5 of them like chocolate. How many like chocolate?
2/3 x 3/5 = 6/15 = 2/5
3/4 x 1/4
3/16
3 3/4 x 2 4/5=
10 1/2
3/5 x 7/2
Is the product greater than, less than, or equal to 3/5?
Greater.
When multiplying a fraction by an improper fraction (which is really a mixed number), the product increases.
8 x 2/3
16/3= 5 1/3
What is 6 x 1/3? Draw a diagram to show your solution.
6/3 = 2
Draw 6 squares and divide them into thirds. Next, shade in 1/3 of each square. You should end up with 6 thirds which is equal to two whole squares.
(3/8 + 1/8) x 2/5
4/8 x 2/5=
1/2 x 2/5= 2/10
Simplified = 1/5
Solve:
2 1/2 x 3 2/3 x 1 4/5
16 1/2
5/2 x 11/3 x 9/5
3/5 x 2/2
Is the product greater, less than, or equal to 3/5?
Equal.
When multiplying a fraction by 1 (numerator and denominator are the same), the product remains the same.
20 students like to cook. 4/5 of them like to bake.
What fractions of the students like to cook and bake?
20 x 4/5 = 80/5
16 students like to cook and bake.
In Mr. Rouse's class, 4/6 of the students like vegetables. Of the students who like vegetables, 3/7 of them like broccoli. Of the students who like broccoli, 2/3 of them like green beans.
What fraction of the students like broccoli and green beans?
4/21
4/6 x 3/7 = 12/42 = 2/7 of students like broccoli.
2/7 x 2/3 = 4/21 of students who like green beans and broccoli.
Ben found a recipe that calls for 3/4 cup of chopped apples. If he wants to make 1/2 of the recipe, how many cups of chopped apples should he use?
3/8 cup
A garden measures 3 1/2 x 2 1/2 feet. What is the area?
3 1/2 x 2 1/2 = 8 3/4 square feet
3/5 x 1
Is the product greater than, less than, or equal to 3/5?
Equal.
2/5 of the students in Miss Jones' class ride the bus to school. If there are 25 students in the class, how many ride the bus?
2/5 x 25 = 50/5
10 students