5.5 Fractions and Decimals:
Part 1
Tuesday, November 19, 2013
Math Response
• In your Math Notebook,
label the top with the
lesson, 5.5 and date
• For each number, show
me how you can write
the number as a fraction
or mixed number and
then as a decimal.
• Copy the exact format
on the right and include
your answers:
1) Number: three point nine
Fraction/Mixed Number: ______
Decimal: ______
2) Number: forty-five hundredths
Fraction/Mixed Number: ______
Decimal: ______
3) Number: nineteen-thousandths
Fraction/Mixed Number: ______
Decimal: ______
Writing Fractions and Decimals
• Write each number as a fraction or a mixed number
three-fourths
four-fifths
seven and six-twentieths
five and one-half
• How can you convert these numbers so they can be
written as decimals?
**You can use mental math, the multiplication rule/ division
rule to change each fraction to an equivalent fraction
having a denominator of 10 or 100. Then write the new
fraction as a decimal.
Converting Examples
3 * 25 = 75 = 0.75
4 * 25 = 100
OR
7 6/20
Rounding Decimals
• Decimals can be rounded to a particular place in
one of three ways:
1) Round down
2) Round up
3) Round to the nearest selected place
Let’s practice
• Watch the following video to review how to order
fractions to decimals. Make sure you are watching
the Step-by-Step and also the Try This!
http://studyjams.scholastic.com/studyjams/jams/math
/fractions/order-fractions-decimals.htm
5.6 Fractions and Decimals:
Part 2
Wednesday, November 20, 2013
Math Response
• In your Math Notebook, label the top with the lesson,
5.6 and date
• Using your SRB, turn to the probability meter on pg. 402
• Look at the probability meter to answer the following
question:
How would you show someone what 1/8 dollar is
worth? Explain using complete sentences.
Writing Fractions as Decimals
Using the Fraction Stick Chart on SRB pg. 399
• Example: What decimal is about equal to 2/3 ?
Step 1: Use the thirds row and locate the fraction 2/3.
Count the 1/3 bars from left to right: 2/3 is the right edge of
the second bar.
Step 2: Place one edge of a ruler/ straightedge at 2/3;
that is along the right edge of the second 1/3 piece and is
perpendicular to the Decimal Number Line.
Step 3: Find where the straightedge crosses the number
line. It crosses at about 0.67, so 2/3 is about 0.67
5.7 Fractions and Decimals:
Part 3
Thursday, November 21, 2013
Math Response
In your Math Notebook, label the top with the lesson,
5.7 and date
• In your SRB, turn to pgs. 89-90. Read about “Renaming fractions,
decimals, and percents”
• Copy and complete the following problems in the chart found
in “Check Your Understanding”
Copy and complete the empty spaces for the last 3 rows where
you will find: 0.35, 10 %, and 5/8.
Fraction
Decimal
Percent
0.35
10%
5/8
Using a calculator to convert
fractions to decimals
½
2/4
3/6
50/100
100/200
3/10
For each fraction, use a calculator to divide the numerator by the
denominator. Does the calculator display agree with the decimal
name you know?
Turn to SRB pg. 142. You will use your calculator to divide the
numerators by the denominators and write the decimal names
next to the fractions.
Some things to keep in mind:
• For mixed numbers, only divide the fraction part. The whole
number remains the same.
• Compare decimals on the Probability Meter after converting
fractions using a calculator.
• When you come across a repeating decimal, simply draw a bar
over the number(s) that repeat. Example: 0.33333333
Let’s practice!
Watch the following video on decimal-fractionsequivalents.
http://studyjams.scholastic.com/studyjams/jams/math
/fractions/decimals-fractions-equivalents.htm
5.8 Using a Calculator to
Convert Fractions to Decimals
Friday, November 22, 2013
Math Response
In your Math Notebook, label the top with the lesson,
5.8 and date
Using your calculator, find a way to rename 4/7 as a
percent without using the percent key.
*Explain your answer with enough detail and in a
complete sentence.
Strategies for the Math
Response
• A fraction can be renamed as an equivalent
percent by first renaming the fraction as a decimal,
and then multiplying the result by 100.
• Example: Rename 4/7 as a percent.
1) Divide 4 by 7. The calculator displays 0.5714285714
2) Multiply the result by 100. This is the percent
equivalent of 4/7.
100 * 0.5714285714 = 57.14285714
3) The whole number portion of the display represents
whole percents.
Round to the nearest whole percent: 57%
Reviewing the meaning of
Percent
• The word percent comes from the Latin per centum:
per means for; and centum means one hundred.
• Just as a fraction represents a fraction of something;
a percent represents a percent of something. That
something is the whole (the ONE or unit).
To understand a percent, you must know what
represents the ONE: 50% of $1.00 is not the same
as 50% of $1 million.
A variety of ways to express what the
percent means…
Example: Allison scored 80% on a test.
 If the test had 100 questions, Allison answered 80 or
80/100 questions correctly.
 Allison answered 80 out of every 100 questions correctly,
or for every 100 questions, Allison answered 80 correctly.
 How many questions did Allison answer correctly if there
were….
50 questions on the test?
10 questions?
200 questions?
Exploring the Purpose of
Percents
• Percents are useful for making comparisons
between quantities when the whole is not the
same.
For example: 8 correct on a test seems better than 4
correct on a test, but it depends on how many
questions were on each test8 out of 20 questions, or 40 % is worse than 4 out of 5
questions or, 80%
*Using percents is an efficient way to make
comparisons when the whole or ONE differs
Converting fractions to
percents
• Example: Tonya earned $167 setting up new
computers for her neighbors. She spent $43 on
software. Juan earned $219 teaching piano to
children. He spent$51 on sheet music. Who spent
the larger portion of their earnings?
1) Rename the fractions as decimals and compare.
2) Then rename the decimals as percents and
compare.
• In addition to multiplying by 100, decimals can be
changed to percents in two other ways.
1) Round to the nearest hundredth. The decimal for
Tonya, 0.2574850299 becomes 0.26, or 26% and
the decimal for Juan, 0.2328767123 becomes 0.23
or 23%
2) Tonya spent $43/$167 or about 26% of her earnings
and Juan spent $51/$219 or about 23%. Tonya
spent a larger portion of her earnings than Juan
did of his.
Let’s practice!
After reviewing, let’s look and see how fractions,
decimals, and percents are equivalent!
http://studyjams.scholastic.com/studyjams/jams/math
/decimals-percents/decimal-fraction-percentequivs.htm