Download Lesson 9-1a

9-1
6th grade math
Relating
Fractions,
Decimals,
and Percents
Objective
• To convert a percent to a fraction or decimal
and convert a fraction or a decimal to a
percent.
• Why? To know how to relate numbers and
integers in different ways that will help you to
solve problems easier.
California State Standards
NS 1.2 (Gr 5): Interpret percents as part of a
hundred: find decimal and percent equivalents
for common fractions and explain why they
represent the same value.
Vocabulary
• Percent
– A special ratio that compares a number with 100
• Percent = “each hundred”
• %=100
– 100% = all work is used (1/1 or 100/100 or 5/5, etc.)
How to Change Fractions to Decimals
to Percents
(and any other way)
1)To convert a fraction to a decimal ... Divide
2) To convert a decimal to a percent … move
the decimal 2 spaces to the right. Think of
it as moving the decimal point into the %
spot.
3) To convert a percent to a fraction …
convert % back to a fraction and use place
value. Reduce.
4) To convert a decimal to a fraction … use
place value and reduce.
5) To convert a fraction to a percent …
convert to a decimal then to a percentmoving the decimal two places to the right
and place the % symbol.
6) To convert a percent to a decimal … move
the % 2 spaces to the left and replace the
% symbol with a decimal point (.)
1) ¾ = .75
2) .75 = 75%
3) 75% = 75/100 = ¾
4) .75 = 75/100 = ¾
5) ¾ = .75 = 75%
Try It!
Fraction
Complete each table.
Fraction
Decimal
Percent
Decimal
Percent
15/100 = 3/20 .15
15%
3 15/100 =
3 3/20
31.5%
3.15
15%
1
2
3.15
Fraction
3 8/5
4
Decimal
Fraction
Decimal
Percent
8/5
1.60
160%
2 7/10
2 .7
2.7%
percent
2.7%
Objective Review
• To convert a percent to a
fraction or decimal and
convert a fraction or a
decimal to a percent.
• Why? You now know how to
relate numbers and integers in
different ways that will help you to
solve problems easier.
• Both a fraction and decimal can be
written as a percent, and a
percent can be written as a
decimal or as a fraction.
Independent Practice
• Complete problems 613
• Copy original problem
first.
• Show all work!
• If time, complete Mixed
Review: 14-18
• If still more time, work
on Accelerated Math.