 # Fractions --> Decimals

## Presentation on theme: "Fractions --> Decimals"— Presentation transcript:

Fractions --> Decimals
2 11 To change a fraction to a decimal number, = .18  Divide to find the decimal equivalent 1 8 1 8 * ‘top dog’ goes in the house… ) 11 2 * ‘decimal, decimal, zero, zero, zero’ 2  noticing a pattern? 11 How do you show repeating decimals? 9 88 2 11 9

Decimals --> Fractions
0.84 To change a decimal to a fraction, 1. Read it “Eighty four hundredths” 84 100 21 25 ÷ 4 = ÷ 4 2. Write it 3. Reduce it 2.005 1. Read it “Two and five thousandths” 5 1000 ÷ 5 1 200 2 = 2 ÷ 5 2. Write it 3. Reduce it

Fractions --> Percents
To change a fraction to a percent, 7 20 • 5 35 35% = = 1. Check the denominator. • 5 100 * Can it be changed to 100? yes 2. Rewrite the fraction with a denominator of 100. 216 300 ÷ 3 72 72% = = ÷ 3 100 3. Write it as a percent. What if the denominator can’t be changed to 100? 3 7 = 3 ÷ 7 0.4285… a. Divide 42.85 % Change to a percent * slide the decimal 2 to the right 42.9% c. Slap a percent sign on it. d. Round to the nearest tenth.

Percents --> Fractions
2 25 8% 8 100 ÷ 4 = To change a percent to a fraction, Re-write the percent as a fraction over 100 11 4 275% 275 100 ÷ 25 = 2. Simplify. 9_ 250 *If there’s a decimal, move it to the end. 3.6% 3.6 100 36_ 1000 ÷ 4 = = … but, what you do to the numerator.. … you also do to the denominator

Decimal <--> Percents
From a to a 0.13 = .13 = 13% …move the decimal 2 spaces to the right. 90% 0.9 = .9 = 0.0027 = 0.27 = 0.27% 13 00 = 1300 = 1300% PERCENT DECIMAL From a to a 0.78 =78 = 78% …move the decimal 2 spaces to the left. 0.05 = 5 = 5% 1.75 = 175 = 175% = 0.0008%

Modeling Fractions, Decimals & Percents.

Modeling Fractions, Decimals & Percents.

Modeling Fractions, Decimals & Percents.