Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

1. • Factors come in pairs and divide a bigger number evenly without a remainder

• Examples:• Factors of 12:

1, 122, 63, 4

• Factors of 30:1, 302, 153, 105, 6

• We can use factor trees, always check 1 through 9 until you get repeats

1. Review: What are Factors? 30

15 2

5 3 6

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

2. • A fraction is a proportion that expresses a part over a whole• The top number is the numerator• The bottom number is the

denominator

• To convert fractions to equivalent decimals and percents, we first need to reduce fractions to their lowest terms

• To reduce fractions, divide the numerator and denominator by common factors until you cannot divide evenly

2. How do I Reduce Fractions to Lowest Terms?

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

2. • I DO2. How do I Reduce Fractions to Lowest Terms?

24

12 ÷ 12 =

÷ 12 = 2

140

15 ÷ 5 =

÷ 5 = 8

3

• WE DO

15

92

÷ 3 =

÷ 3 = 5

32

28

21 ÷ 7 =

÷ 7 = 4

3

• YOU DO

30

18 ÷ 6 =

÷ 6 = 5

332

20 ÷ 4 =

÷ 4 = 8

5

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

3. • Reduce a fraction to its lowest terms

• Check your list of common fractions• Memorize the common fractions and

their decimal/percent equivalents

3. How do I Convert Fractions to Decimals

• WE DO

15

92

÷ 3 =

÷ 3 = 5

32

• YOU DO

56

49 ÷ 7 =

÷ 7 = 8

7

= 2.60

= 0.875

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

4. • YOUR BRAIN IS A FRACTION BUTTON!

• Check your list of common fractions• Memorize the common fractions and

their decimal/percent equivalents

• Or, express as a fraction over a multiple of 10:• 8 tenths = 0.8 =

• 65 hundredths = 0.65 =

• 143 hundredths = 1.43 =

• Then, simplify the fraction to its lowest terms

4. How do I Convert Decimals to Fractions

10

8

100

65

100

143

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

4. 4. How do I Convert Decimals to Fractions

• WE DO

• YOU DO

• I DO

0.4 =5

2

10

4

100

40

0.85 =25

21

100

85

0.75 = 4

3

100

75

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

5. • Percent means “out of 100”• 50% means 50 hundredths• 50% means 50 out of 100

• To convert decimal to percent• Move the decimal two places to the right

• To convert percent to decimal• Move the decimal two places to the left

5. How do I Convert Percents to Decimals and Decimals to Percents

Decimals to Percent

WE DO YOU DO

0.40 = 0.35 =

0.875 = 1.42 =

0.005 = 0.625 =

Percent to Decimal

WE DO YOU DO

55% = 32.5% =

37.5% = 80% =

132% = 250% =

40%

87.5%

0.5%

35%

142%

62.5%

0.55

0.375

1.32

0.325

0.80

2.50

Fraction/Decimal/Percent EquivalenceName

Sep 20-21, 2011

6. • Convert all fractions and percents to decimals

• Put in order in decreasing order of place value• Hundreds, then tens, then ones• Tenths, then hundredths, then thousandths• Cross out numbers as you put them in order

6. Ordering Numbers on a Number Line

2

1

8

3

4

3

5

3

8

5

0.75 0.375 0.50 0.60 0.625

0.375 0.50 0.60 0.625 0.75