1 / 9

Fraction, Decimal, & Percent Equivalencies

Fraction, Decimal, & Percent Equivalencies. Coach Lesson 4 Also see textbook pages 108 – 110, & 202 – 205. Jeff Rhodus 6th Grade Elsanor Elementary. Getting the Idea! Fractions , decimals , and percents can all be used to show parts of a whole. The word percent means “of 100.”

evania
Download Presentation

Fraction, Decimal, & Percent Equivalencies

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Fraction, Decimal, & PercentEquivalencies • Coach Lesson 4 • Also see textbook pages 108 – 110, & 202 – 205. • Jeff Rhodus • 6th Grade • Elsanor Elementary

  2. Getting the Idea! Fractions, decimals, and percents can all be used to show parts of a whole. The word percent means “of 100.” That is why percents can be written as fractions with denominators of 100. The symbol for percent is %.

  3. This chart shows some common fraction-decimal-percent equivalencies. Fraction Percent Fraction Decimal Percent Decimal 1 1 1% 0.01 0.25 25% 100 4 1 1 50% 0.5 0.1 10% 10 2 1 3 0.125 12.5% 0.75 75% 8 4 1 1 1 1.0 100% or 0.2 20% 5 1 To convert a fraction or mixed number to a decimal, find an equivalent fraction or improper fraction that has a denominator of 10 or 100, then write the decimal.

  4. Example 1: Convert the fraction 3/5 to a decimal. Strategy: Find the equivalent fraction with a denominator of 10. Step 1: Multiply the numerator and denominator by 2 to find the equivalent fraction with a denominator of 10. Step 2: Write the decimal. Solution: The decimal equivalent of 3/5 is 0.6 3 3 x 5 6 = = 5 5 x 2 10 6 = 0.6 10

  5. Example 2: Convert the decimal 1.44 to a mixed number. Strategy: Write the decimal as an improper with a denominator of 100, then simplify. Step 1: Since the decimal goes to the hundredths place, remove the decimal point and write the digits as the numerator and 100 as the denominator. Step 2: Change the improper fraction to a mixed number. Then simply the fraction part by dividing the numerator and denominator by 4. Solution: The mixed number equivalent of 1.44 is 1 144 1.44 = 100 144 44 44 : 4 11 144 11 1 1 = = = 100 100 100 : 4 25 100 25 11 25

  6. Example 3: Write 23/100 as a percent. Strategy: Look at the denominator of the fraction. It is 100. Since the denominator of 23/100 is 100, the percent is the same as the numerator. Solution: 23/100 = 23%

  7. Example 4: Convert the fraction 9/20 to a percent. Strategy: Find an equivalent fraction with a denominator of 100, then write the percent. Step 1: Multiply the numerator and denominator by 5 to find the equivalent fraction with a denominator of 100. Step 2: Change the fraction to a percent. Since the denominator is 100, the percent is the same as the numerator. Solution: 9/20 = 45% To convert a percent to a fraction, first convert the percent to a decimal. Then convert the decimal to a fraction. Remember that percents over 100% will be written as mixed numbers since they are greater than a whole. 9 9 x 5 45 = = 20 20 x 5 100 45 45% = 100

  8. Example 5: Convert 140% to a mixed number. Strategy: Write the percent as an improper fraction with a denominator of 100, then simplify. Step 1: Remove the percent symbol and write the digits as the numerator and 100 as the denominator. Step 2: Change the improper fraction to a mixed number. Then simply the fraction part by dividing the numerator and denominator by 20. Solution: 140% = 1 140 140 = 100 140 40 40 : 20 2 2 140 1 = 1 = = 100 100 100 : 20 5 100 5 2 5 To convert a decimal to a percent, move the decimal point two places to the right and insert a percent symbol(%) after the number. Insert zeros as placeholders when necessary.

  9. Example 6: Convert the decimal 0.7 to a percent. Strategy: Move the decimal point two places to the right. Step 1: Think of place value. 0.7 = 0.70 Move the decimal point in 0.70 two places to the right. 0.70. Step 2: Insert a percent symbol at the end of the number. 70% Solution: 0.7 = 70%

More Related