# rational

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```					Put your calculator away and
solve the following:
1. 2 3/4 + 1 3/8 =
2. 2 1/10 – 1 4/5 =
3. 1 3/5 • 1/4 =
4. 6 2/5 ÷ 2 2/3 =
Mr. Turner distributed some supplies
in his office. He distributed 120
pencils, 300 paper clips, and 16 pens.
What is the greatest number of people
there can be in the office if each
person received the same number of
items?
The baseball league bought new
equipment for the teams. The managers
bought 288 baseballs, 40 bats, and 24
equipment bags. How many teams are
there if all the new equipment is
distributed equally among the teams?
Tell whether each number is prime or
composite. If the number is
composite, list its factors.
1. 74        2. 73
3. 83        4. 23
5. 51        6. 91
7. 109       8. 211
Write the prime factorization of each
number.
Example: 180 = 2 x 2 x 3 x 3 x 5

1. 70        2. 92         3. 120
4. 118       5. 500        6. 1,122
Using Venn diagrams to find GCF and
LCM:
Find the GCF and LCM of 24 and 40.
24          40
GCF = 2 • 2 • 2
3   •    2• 2 • 2   •   5   LCM = 3 • 2 • 2 • 2 • 5
Use a Venn diagram to find the GCF
and LCM of the following:
1) 20 and 42
2) 56 and 63
3) 48 and 72
Gleamy-Tooth
toothpaste comes in 2
sizes: 9 oz for \$0.89
and 12 oz for \$1.19.
a) What is the LCM of 9 and 12?
b) If you bought that much toothpaste in 9-oz
tubes, how much would it cost?
c) If you bought that much toothpaste in 12-oz
tubes, how much would it cost?
d) Which tube gives you more Gleamy-Tooth for
the money?
A machine at a local factory has 3
gears. One gear must be replaced
every 3 months, another every 5
months, and the third every 6 months.
All of the gears were just replaced.
How long will it be before all 3 gears
will need to be replaced at the same
time again?
There were 11 days of rain one
month in Boston. Of the
remaining days, two-fifths were
sunny, one-fourth were cloudy,
and it snowed on the other 7 days.
How many days were in the
month?
A rational number is a number you
can write as a ratio of two integers
in the form a/b, where b = 0. Write
each rational number as a ratio in
the form a/b.
1. -5       2. 0.63
3. -3.9     4. 4 5/6
Graph each set of rational numbers on a
number line.
1. -3, 2/3, 2.75, -1/2, 1.875, -3/4

-3   -2    -1    0    1     2      3

2. 2/5, 1.4, -2, 2¼, -1½

-3   -2    -1    0     1    2      3
Write each fraction or mixed number
as a decimal.

1. 7/20        2. -4 7/8
3. -2/3        4. -3 7/10
Write each decimal as a fraction or
mixed number in simplest form.

1. 0.006          2. -4.8
3. 0.97           4. 3.082
5. -0.28          6. 7.3
Compare. Use >, <, or =.

1. -4/9   -5/8     2. 1/3     6/18

3. 5/7    0.63     4. -0.76    -3/4
Chris’s aunt is giving him a birthday party.
She wants to give the same number of
balloons, puzzles, and baseball cards to
Chris and each guest. Balloons come
in packages of 10, puzzles in packs of
8, and baseball cards in packs of 5.
There are 7 guests.
1. How many packages of each item
should Chris’s aunt buy so that no
items are left over?
2. How many of each item will each child
1. Ms. Daniels drove at a steady speed of
80 kph for 4½ hours. How far did she
drive in this time?
2. The Watsons spend 1/5 of their income
for food, 1/4 for housing, 1/6 for
clothing, 1/10 for medical expenses,
and 1/5 for miscellaneous things.
They save the rest. What part of their
income do they save?
1. With tips, Bonnie made \$30 from her paper
route last week. She spent a total of 6 2/3
hours on her route last week. On the
average, how much an hour did she make
from it?
2. A TV set was on sale for ¼ off. The usual
price was \$320. What was the sale price?
3. Joe makes \$3 an hour doing odd jobs. How
much will he make doing odd jobs if he
works 3 ½ hours? 35 minutes? 7 hours 50
minutes?
Ramona’s brother is 2/3 as old as she is.
She is 1/2 as old as her father. Her
mother is 5/6 as old as her (Ramona’s)
father. In ten years, Ramona’s father will
be 52. How old is Ramona’s father?
Ramona’s mother? Ramona? Ramona’s
brother?
Eight people shared equally in 5½
pies. How many pies did each
person get?

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