Fractions Decimals and Percents Keep up the great

Fractions, Decimals and Percents Keep up the great work!

Fraction The number of ______ of a _____. Example: ¾ = (three parts out of 4)

Decimal A number expressed using units of _______.

Percent Parts per ______, or written in terms of ______.

Equivalent Forms

Conversions Fraction Decimal Percent ½ 0. 50 50%

Decimal to Percent Move the decimal two places to the right. (Multiply by 100) 0. 45 = 0. 1 = = 45% = 10% 0. 05 = = 5%

Let’s Practice Change 0. 128 into a percent. A) 128% C) 1. 28% B ) 12. 8% D) 0. 128%

One More Change 0. 8 into a percent. A) 800% C) 80% B ) 0. 8% D) 8%

Percent to Decimal Move the decimal two places to the left. (Divide by 100) 32% = = 0. 32 7% = = 0. 07 20% = = 0. 2

Let’s Practice Change 60% into a decimal. A) 60 C) 0. 06 B ) 6. 0 D) 0. 6

Another Change 15. 5% into a decimal. A) 0. 155 C) 15. 5 B ) 1. 55 D) 155

Fraction to Decimal Divide the numerator by the denominator • ¾ = 3 divided by 4 = 0. 75 • REMEMBER: Knock over the fraction and divide!

Another Example Change the following fractions to decimals. 1/5 = 0. 2 2/3 = 0. 666

Let’s Practice Change 3/5 into a decimal. A) 3. 5 C) 35. 0 B ) 6. 0 D) 0. 6

One More Change 1/8 into a decimal. A) 125 C) 0. 18 B ) 1. 8 D) 0. 125

Fraction to Percent Divide the numerator by the denominator and change the decimal to a percent. ¾ = 3 divided by 4 = 0. 75 x 100 = 75%

Another Example Change the following fractions to percents. 4/9 = 44. 4% 3/8 = 37. 5%

Let’s Practice Change 2/5 into a percent. A) 2. 5% C) 0. 40% B ) 40% D) 25%

One More Change 1/8 into a percent. A) 12. 5% C) 18% B ) 125% D) 1. 8%

Homework

Percent to Fraction Step 1: Write the percent over 100. Step 2: Simplify.

Example Change 35% into a fraction in simplest form.

Let’s Practice Change 42% into a fraction in simplest form. A. 42/50 B. 4/2 C. 1/42 D. 21/50

One More Change 10% into a fraction in simplest form. A. 1/10 B. 1/5 C. 10/1 D. 5/50

Decimal to Fraction Step 1: Write your decimal over the number 1 (as a fraction) Step 2: Count how many numbers are after the decimal Step 3: Add that many zeros after the number 1. Step 4: Multiply the numerator and denominator by your new number (multiple of 10). Step 5: Simplify.

Let’s Try Change 0. 12 into a fraction.

Example Change 0. 625 into a fraction in simplest form.

Another Example Change 5. 6 into a fraction in simplest form.

Let’s Practice Change 0. 54 into a fraction in simplest form. A. 27/50 B. 54/1 C. 1/54 D. 54/100

One More Change 0. 375 into a fraction in simplest form. A. 375/1000 B. 3/8 C. 1/375 D. 2/9