FRACTIONS, DECIMALS & PERCENTS OH MY!

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The table shows the heights of the ten tallest buildings in Dallas. • What fraction of the buildings are between 600 and 900 feet tall? • Write this fraction using words. • Write this fraction as a decimal. 1. 9 out of 10, which is 9/10 2. Nine-tenths 3. 0.9

Fractions to Decimals To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. For example, to change into a decimal, you would divide the 3 by the 4. 0. 7 5 -2 8 2 0 -2 0 0 This is called a TERMINATING DECIMAL. (it comes to an end, as in terminate a game!)

Fractions to Decimals To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. 0. 3 5 Example 1: -6 0 1 0 0 -1 0 0 0 This is called a TERMINATING DECIMAL. (it comes to an end, as in terminate a game!)

Fractions to Decimals To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. We already know that ¾ = 0.75 Example 2: Memorizing some conversions like these will make things a lot EASIER! ¼ = 0.25 ½ = 0.50 ¾ = 0.75 (one quarter) (half of a dollar) (three quarters)

Fractions to Decimals To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. 0. 3 7 5 Example 3: -2 4 6 0 - 5 6 4 0 - 4 0 0

Fractions to Decimals To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. 0. 3 3 3…….. Example 4: - 9 1 0 - 9 1 0 - 9 1 This is called a REPEATING DECIMAL. (a pattern in the digits repeats forever!)

You can use BAR NOTATION to indicate that a number repeats forever. A bar is written over the digit(s) that repeat. Example 5: Write 7/9 as a decimal. 0. 7 7 7… -6 3 7 0 - 6 3 7 0 - 6 3 7

Decimals to Fractions To change a decimal into a fraction, you place the decimal number over the correct pace value position as a fraction ( #/10 #/100 #/1000) For example, to change 0.25 into a fraction, you would place 25 over a denominator of 100 since it is read “twenty-five hundredths”. 25/100 = 1/4

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Classwork Title: Glencoe Pg. 247 # 21-35 Advanced: Glencoe Pg. 247 # 27-36, 38-42

How to change percentages into fractions and decimals A percentage is a special fraction. The %says, “per hundred.” For example,47%, is simply another way of writing thefraction47/100

Fractions to Percents A ratio is a comparison of 2 quantities by division. Fractions are ratios! can be written as 34:100 in ratio form. When a ratio compares a number to 100, it can be written as a percent.

Fractions to Percents Ex 1: Annie answered 90 out of 100 questions correctly. Since the fraction already has a denominator of 100, you automatically have the percentage!

Fractions to Percents Ex 2: On average, 50.5 out of 100 students own a pet. Since the fraction already has a denominator of 100, you automatically have the percentage!

Fractions to Percents Ex 3: Write as a percent. Find an equivalent fraction that has a denominator of 100 x5 x5

Try These x5 x5 x20 x20 x4 x4

You can almost see the 100 in the percentage sign % The zeros The 1

So to write a percentage as a fraction, you simply put it over 100 like this: 24% = 24/100 12/50 6/25 24% = 24/100 Yes, but remember to write the fraction in its simplest form

Classwork Glencoe Pg. 252 # 13-29, 34-36 Advanced: Glencoe Pg. 252 # 10-33 even, 37-40, 42, 43

Percents to Decimals So, to change a percentage into a decimal, you always divide by 100 For example, 35% as a fraction is 35/100 so to change this into a decimal, you divide 35 by 100 35% 0.35 ÷ 100

Decimals to Percents To change decimal into a percentage Decimal Percentage To change a decimal into a percentage, you X by 100 X 100 0.23 23%

You Should Know Decimal to a percentage X 100 A a percentage is a special fraction. 23% = 23/100 Percentage to a decimal ÷ 100

FRACTIONS, DECIMALS & PERCENTS OH MY!