Proper, Improper, & Mixed Fractions
What kind of fraction is 3/4?
What is a proper fraction?
Draw a model for ½ using a circle or rectangle.
Circle/rectangle with half shaded.
1/4 + 1/4 = ?
2/4 or simplified to ½.
What’s the lowest common denominator of 1/2 and 1/3?
6
What is ½ × ½?
1/4
Is 7/3 a proper, improper, or mixed fraction?
What is an improper fraction?
Draw a picture of ¾.
Three out of four equal parts shaded.
3/8 + 1/8 = ?
4/8 = ½
Simplify 4/8.
½
Multiply: 2/3 × 3/4
6/12 = ½
Convert 9/4 into a mixed number.
What is 2¼?
Use a number line to represent 1½.
Mark 0, 1, and 2. Place a dot halfway between 1 and 2.
2/3 – 1/6 = ?
1/2
Find the LCD of 3/5 and 2/10.
10
What is 1½ × 2/5?
Answer: 3/2 × 2/5 = 6/10 = 3/5
Convert 1⅔ into an improper fraction.
Answer: What is 5/3?
Draw a model for 5/8 using a circle or a rectangle.
Circle/rectangle with 5/8 shaded.
1½ + 2/3?
2 1/6
Simplify 18/24.
3/4
Divide: 2/3 ÷ 1/6
2/3 × 6/1 = 12/3 = 4
A recipe uses 4½ cups of flour. Write this as an improper fraction.
What is 9/2?
Draw a model that shows 2/3 + 1/6.
Model showing thirds and sixths with 5/6 shaded total.
3/4 – 2/5 = ? (Hint: Find a common denominator)
15/20 – 8/20 = 7/20
Find the LCD of 2/3, 5/6, and 1/4.
12
Solve and simplify: 7/8 ÷ 1/2
7/8 × 2/1 = 14/8 = 1¾