NS.09:
Fractions, Decimals,
Percents, and Ratios
Objective: I can convert between
decimals, fractions, percents, and
ratios.
.01 = 1/100 = 1% = 1:100

Mathematical Practices:

MP.2: I can use reasoning habits to help
me think about numbers in many ways.

MP.8: I can solve problems by looking for
rules and repeated patterns.

Notes: Key Vocabulary:

Positive Rational Numbers: Numbers
that are greater than zero and can be
expressed as a ratio. 6:10

Fraction: part of a whole group. It has a
numerator and denominator. ¾

Decimal: a number containing a decimal
point, written as base ten. 0.345

Percent: a special ratio that compares a
number to 100 using the symbol %

Ratio: A comparison of two numbers or
measures using division. 2 to 4, 2:4, or
2/4

Convert: to change
Notes: Essential Questions: (Skip 4
lines between questions.)
1.
What are different ways to express the
same value? How do you convert
between each value?
2.
What is a conversion? Why do you need
to convert between values?
 Note:
Fractions, decimals, ratios and
percents are different ways to represent
the same value.
 Each conversion requires a specific
procedure.

Conversion Foldable:
1. Get a sheet of white paper and fold in
half horizontally. (like a hamburger)
 2. Fold in half again from the folded
position.
 3. From this position, fold into thirds so
you have a small square.


To convert (change) a fraction to a
decimal, divide the numerator by the
denominator.
0.75
3 = 4 3.00
4
Fraction
Decimal
Change these fractions to decimals:

5
8
2
3
Practice time

To convert a decimal to a fraction, use the
place value of the last digit to determine
the denominator and put the numbers to
the right of the decimal point in the
numerator. Reduce to lowest terms.

0.75 =
75
100
= 3
4
The 5 is in the hundredths place. Then,
reduce to lowest terms.
Decimal
Fraction

Convert the decimals into a fraction:

0.92

2.15

0.37
Let’s try a couple.


To convert a decimal to a percent, move
the decimal point two places to the right
and add the % sign.
0.75 =
75%
Decimal
Percent

Change decimals to percent:

0.67

0.125

1.73
Try these


To convert a percent to a decimal, move
the decimal point two places to the left
and remove the % sign.
75.% = 0.75
Percent
Decimal

Change the percents to decimals:

44%

59.2%

315%
You can do it!!!

What are the three ways to write a ratio?

Apply what you have learned to convert a
decimal and a percent to a ratio.
Not too tough, right?

Convert these numbers into a ratio:

0.4

76%

0.37
Don’t forget to reduce.