Improper to Mixed Number & Mixed Number to Improper
Adding and Subtracting Fractions
Fraction Models
Multiplying & Dividing Fractions
Write the equation & Solve it!
Math Generalizations
100
Change to a mixed number
12/5
2 2/5
100
4/5 - 7/15 =
12/15 - 7/15 = 5/15 and 5/15 = 1/3
100
Which model represents 4 x 1/4?
4 x 1/4?
100
1/3 x 15 =
15/3 = 5
100
On the weekend Ms. Lind baked 6 sourdough loaves. They were so big she could only fit 1/3 of a loaf in each bag.
- Write the division equation and solve it.
6 -: 1/3 = 18 loaves
100
3 x q is greater than 3, but less than 6. What could is a positive value that q be?
q could be any number that is more than 1 and less than 2 (fraction or decimal)
200
Change to a mixed number.
15/7
2 1/7
200
2/3 + 3/4 =
8/12 + 9/12
17/12 = 1 5/12
200
Which model represents 1/8 x 4=
200
2/3 x 1/3 =
2/9
200
Ryan has 48 baseball cards. He gives 1/4 of his 48 cards to Anna.
Write the multiplication equation and solve it.
1/4 x 48 = 12
200
Bob thinks of a number that is greater than 2 and less than 3. He doubles the number. Is the following statement true or false?
- The number is greater than 4 and less than 7.
FALSE! For it to be true the number would be greater than 4 and less than 6.
300
Change to an improper fraction.
3 1/4
13/4
300
2 4/9 + 1 1/3 =
2 4/9 + 1 3/9 = 3 7/9
300
Which represents 1/3 -: 3
1/3 -: 3 = 1/9
300
1/2 -: 2 =
1/4
300
Ms. Larsen has a price tag on her new book that is 1/4 inch wide and 3/4 inch long. What was the area of her price tag?
- Write the equation and SOLVE IT!
1/4 x 3/4 = 3/16
300
TRUE or FALSE...
Multiplication of fractions can be shown as repeated addition.
TRUE!
400
Write the division problem as a fraction, then solve it.
5 -: 2 =
5/2 = 2 1/2 = 2.5
400
Starting from scratch, Nancy finished 5/12 of a reading assignment Monday afternoon and another 1/3 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?
5/12 + 4/12 = 9/12
9/12 = 3/4
400
6 -: 1/2 or 1/2 -: 6
6 -: 1/2 = 12
400
4 -: 1/2 =
8
400
Write the multiplication equation and solve it.
400
TRUE or FALSE...
The word of always means to multiply.
FALSE.
500
Convert both into an improper fraction and solve.
2 1/3 x 1 1/2 =
7/3 x 3/2 = 21/6 = 3 3/6 = 3 1/2
500
2 - 3/4 + 1/3 =
2 - 9/12 = 1 3/12 + 4/12 = 1 7/12
500
Which reprepsents 7/4 x 4/3
28/12 = 2 4/12 = 2 1/3
500
2 1/4 x 1 1/3 =
9/4 x 4/3 = 36/12 = 3
500
Bob has a 1/2 meter of rope He then cut his rope into 5 pieces. What fraction of a meter will each piece of rope be?
Write the division equation.
BONUS: Solve the equation and find how many centimeters long will each piece be.
1/2 -: 5 = 1/10
1/10 x 100 cm = 10 cm
500
TRUE or FALSE...
When you multiply you always get a product greater than either factor.
FALSE.