Compare Fraction Factors and Products...Name 12 12 3 3 4 Fraction and Whole-Number Division You can divide fractions by solving a related multiplication sentence. Divide. 4 4 1_ 3
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Name
greater than
equal to
less than
Complete the statement with equal to, greater than, or less than.
1. 3 _ 7
3 2 _ 5
will be 3 _ 7
.
3. 1 _ 6 3 5 _
5 will be 1 _
6 .
2. 7 _ 8
3 3 will be 7 _ 8
.
4. 5 3 6 _ 7
will be 5.
You can use a model to determine how the size of the product
compares to the size of one factor when multiplying fractions.
The factor is 1: 2 _ 3 3 1
• Draw a model to represent the factor 1. Since the denominator
of the factor 2 _ 3 is 3, divide it into 3 equal sections.
• Shade 2 of the 3 sections to represent the factor 2 _ 3
.
2 _ 3 of the rectangle is shaded. So, 2 _
3 3 1 is 2 _
3 .
The factor is greater than 1: 2 _ 3 3 2
• Draw two rectangles to represent the factor 2. Since the denominator
of the factor 2 _ 3 is 3, divide each rectangle into 3 equal sections.
• Shade 2 of 3 sections in each to represent the factor 2 _ 3
.
In all, 4 sections are shaded, which is greater than the number
of sections in one rectangle. So, 2 _ 3 3 2 is 2 _
3 .
The factor is less than 1: 2 _ 3 3 1 _
6
• Draw a rectangle. Divide it into 6 equal columns.
Shade 1 of the 6 columns to represent the factor 1 _ 6
.
• Since the denominator of the factor 2 _ 3
is 3, divide the rectangle
into 3 equal rows. Shade 2 of the 3 rows of the section already
shaded to represent the factor 2 _ 3 .
The rectangle is divided into 18 sections. 2 of the sections are
shaded twice. 2 sections is less than the 3 sections that represent 1 _ 6
You can write a fraction as a division expression.
4 _ 5 5 4 4 5 15 __
3 5 15 4 3
There are 8 students in a wood-working class and 5 sheets of plywood for them to share equally. What fraction of a sheet of plywood will each student get?
Divide. 5 4 8 Use a drawing.
Step 1 Draw rectangles to represent 5 sheets of plywood. Since there are 8 students, draw lines to divide each
piece of plywood into .
Each student’s share of 1 sheet of plywood is .
Step 2 Count the total number of eighths each student gets.
Since there are 5 sheets of plywood, each student will
Use the coordinate grid to write an ordered pair for the given point.
1. G 2. H
3. J 4. K
Plot and label the points on the coordinate grid.
5. A (1, 6) 6. B (1, 9)
7. C (3, 7) 8. D (5, 5)
9. E (9, 3) 10. F (6, 2)
Ordered Pairs
A coordinate grid is like a sheet of graph paper bordered at the left and at the bottom by two perpendicular number lines. The x-axis is the horizontal number line at the bottom of the grid. The y-axis is the vertical number line on the left side of the grid.
An ordered pair is a pair of numbers that describes the location of a point on the grid. An ordered pair contains two coordinates, x and y. The x-coordinate is the first number in the ordered pair, and the y-coordinate is the second number.
(x, y) (10, 4)
Plot and label (10, 4) on the coordinate grid.
To graph an ordered pair:
• Start at the origin, (0, 0).
• Think: The letter x comes before y in the alphabet.