Bell Work/Cronnelly
Write each fraction as a decimal and percent.
1)
3
4
3
2) 3 8
14
3) 4 200
Write each decimal as a fraction and percent.
1) 1.67
2) 0.00093
3) 0.49
Write each percent as a fraction and decimal.
1) 0.073%
2) 6.25%
3) 375%
4) 83%
Bell Work/Cronnelly
Write each fraction as a decimal and percent.
1)
3
4
.75; 75%
3
14
2) 3 8
3) 4 200
4.125; 412.5%
Write each decimal as a fraction and percent.
1) 1.67 167/100;
167%
2) 0.00093
3) 0.49
93/100,000; .093%
Write each percent as a fraction and decimal.
1) 0.073%
.00073;
73/100,000
2) 6.25%
.0625;
625/10,000
3) 375%
3.75;
375/100;
3 75/100
2.07;
207%
49/100;
49%
4) 83%
.83;
83/100
1.2.3
Homework ANSWERS
• When probabilities and portions are expressed as fractions, they
can sometimes be difficult to compare. For example, is a 2
probability of winning a game greater than a
3
7
3
probability?
•In this lesson, you will develop strategies for rewriting fractions so
you can compare different portions.
The following is from a study done by Michigan State on Youth Sports. 10,000 kids ages
5-14 nation-wide were surveyed.
Odds of Going Pro
Odds
Odds of a High School football player making it to the NFL
1 in 6,000
Odds of a High School baseball player making it to MLB
1 in 4,000
Odds of a High School basketball player making it to the NBA
1 in 10,000
Odds of a High School soccer player receiving a full ride to a Div I
1 in 90
or II School
1-95. FRACTION TO PERCENT
Lila wants to rewrite
10
25
as a percent. She decided to represent
10
25
first in a
picture.
a. How many sets of 25 will she need to make 100?
b. How many sets of shaded squares will she need? How many shaded
squares is that in total?
c. Lila drew the picture below, and then she wrote the equation on the right to
represent her work with the shapes.
**When Lila multiplies the number of shaded squares by 4 and the number of
total squares by 4, does the amount of shading compared to the total squares
change? Explain how you know.
1-96. Multiplying any number by 1 does not change the value of the number. This
is called the Identity Property of Multiplication. When the numerator (top
number) and denominator (bottom number) of a fraction are multiplied by the same
number, some people like to say that the fraction is multiplied by a Giant One. For
example:
a. Why is the fraction
4
4
called a Giant One?
b. Each fraction below is shown next to a Giant One. Multiply the expressions to
rewrite each fraction.
i.
ii.
=
=
c. What if you do not know which numbers to use in a Giant One? Copy and
complete each problem below on your paper.
i.
ii.
1-98. FAMILIES OF FRACTIONS
Using a Giant One, you can rewrite any fraction as a
different fraction that represents the same portion of a
whole. Fractions that are equal but that are written in
different ways are called equivalent fractions.
For each fraction below, make three new fractions that are
equivalent.
a.
𝟕
𝟏𝟐
b.
𝟑
𝟏𝟎
c.
𝟗
𝟐𝟕
1-99. Adele, Karla, and Lisa are reading the same book. Each
has read a different number of pages, as described below.
5
•Adele has read
of the book.
8
12
•Karla has read
of the book.
16
13
•Lisa has read
of the book.
24
Help them decide who has the most left to read.
a. What denominator could they use to compare the portions
they have read?
b. Which girl has the largest part left to read? Justify your
ideas.
c. How many pages could the book have? Be ready to explain
your answer.
1-100. Use the Giant One to rewrite each fraction as a part of
100. Then write the equivalent percent.
a.
b.
c.
d. How do you decide which number to use in the Giant One?
1-101. Which of the events below is most likely to
happen? Justify your answer by rewriting the portion in a
different form. In each case, show your thinking with
pictures or with labeled calculations. (use a portions web!)
a. A
4
5
chance that the teacher will assign homework
today.
b. A 78% chance of a thunderstorm tomorrow.
c. A
7
10
probability of picking a green marble.
Practice/Exit Ticket
4
3
?
15
3
·
7
?=
?
28
5. ·? =
3. · ? =
?
36
6
5
1. · ? =
2.
5
9
4.
5
3
9
2
6.
·? =
?
18
?
38
·? =
?
15