Converting Fractions into Decimals into Percents & Vice Versa Objective: SWBAT convert fractions into decimals into percents and vice versa.

Vocabulary Fraction parts of a whole Fraction Bar means division Numerator top number in a fraction – shows how many parts we have Denominator bottom number in a fraction – show how many equal parts we have Decimal a number containing a decimal point Percent means parts per 100 (symbol - %)

How do you convert a Fraction into a Decimal? Example: 𝟓 𝟔 6 5 6 5.000 .833 - 48 20 - 18 2 Numerator Denominator Step 1 - Divide the Denominator into the Numerator Step 2 – Add a decimal after the Numerator and add a few zeros after the decimal. Step 3 – Divide to at least 2 to 3 decimal places

Practice: Convert each Fraction into a Decimal. .75 4 3.000 - 28 20 -20 .45 20 9.000 - 80 100 - 100 1. 𝟑 𝟒 2. 2 𝟗 𝟐𝟎 = .75 = 2.45 Ignore the whole number until the final answer.

Place Value Review: 1 2 3 4 5 6 7 Tens Ones Thousands Tenths Hundreds Hundredths Thousandths

How do you convert a Decimal into a Fraction in its simplest form? Step 1 – Identify the place value of your last number. Step 2 – Write your answer in fraction form. Step 3 – Reduce your fraction in simplest form by finding a common factor. 0.25 𝟐𝟓 𝟏𝟎𝟎 Hundredths ÷ 𝟐𝟓 𝟐𝟓 = 𝟏 𝟒

Practice: Convert each Decimal into a Fraction. 1. 0.8 2. 0.55 3. 0.124 𝟖 𝟏𝟎 𝟓𝟓 𝟏𝟎𝟎 𝟏𝟐𝟒 𝟏𝟎𝟎𝟎 ÷ 𝟐 𝟐 = ÷ 𝟓 𝟓 = ÷ 𝟒 𝟒 = 𝟒 𝟓 𝟏𝟏 𝟐𝟎 𝟑𝟏 𝟐𝟓𝟎

How do you convert a Decimal into a Percentage? ***Move the decimal 2 places to the right and then add a percentage sign (%). 0.12 0.3 0.782 0.05 5. 1.15 = 12% = 30% = 78.2% = 5% = 115%

How do you convert a Percent into a Decimal? ***Move the decimal point 2 places to the left and remove the percentage sign. 56% 83.9% 4% 60% 5. 112% = 0.56 = 0.839 = 0.04 = 0.6 = 1.12