Virtual Math Girl: Module 3 (Student) Working with Equivalent Fractions, Decimals & Percentages Answer Key Activity 1: Fraction Equivalents First Fraction Expression 4/16 Largest Whole Number 4 Alternate Fraction Expression 1/3 6/12 6 3/5 10/100 10 3/9 3 1/8 15/25 5 1/2 2/16 2 2/3 12/18 6 1/10 1/4 2/8 is blue and green 4 layers Virtual Math Girl: Module 3 – Answer Key © 2010 WBGU-­‐PBS. Permission is granted for non-­‐profit educational use. 1 Activity 2: Reviewing Fraction Equivalents What fraction of the cake is represented by the striped top layers? Can you express this as a fraction equivalent? What is that fraction equivalent? 1 / 8 ––– ––– Fraction / ––– ––– Equivalent What fraction of the cake is represented by the three striped layers? Can you express this as a fraction equivalent? What is that fraction equivalent? 3 / 8 ––– ––– Fraction / ––– ––– Equivalent What fraction of the cake is represented by the six striped layers? Can you express this as a fraction equivalent? What is that fraction equivalent? 6 / 8 ––– ––– Fraction 3 / 4 ––– ––– Equivalent Activity 3: Applying Fraction Equivalents Ingredient Amount needed for 4 dozen cookies box of cake mix 2 boxes vegetable oil 1 cup eggs 4 eggs butterscotch chips 1 1/3 cups chopped nuts 1 cup Virtual Math Girl: Module 3 – Answer Key © 2010 WBGU-­‐PBS. Permission is granted for non-­‐profit educational use. 2 Activity 4: Decimal Equivalents (page 1) What fraction of the cake is represented by the striped layer? The striped layer represent the yellow layers in Josh’s cake. Can you express this as a fraction equivalent? What is that decimal equivalent? 1 / 8 ––– ––– Fraction .125 –––––– Decimal Equivalent What fraction of the cake is represented by the striped layers? The striped layers represent the yellow layers in Josh’s cake. Can you express this as a fraction equivalent? What is that decimal equivalent? 4 / 8 ––– ––– Fraction .5 –––––– Decimal Equivalent What fraction of the cake is represented by the striped layers? The striped layers represent the yellow layers in Josh’s cake. Can you express this as a fraction equivalent? What is that decimal equivalent? 6 / 8 ––– ––– Fraction .75 –––––– Decimal Equivalent Virtual Math Girl: Module 3 – Answer Key © 2010 WBGU-­‐PBS. Permission is granted for non-­‐profit educational use. 3 Activity 4: More Decimal Equivalents (Extended Activity) Ingredient Decimal equivalents for each ingredient 1/5 cup vegetable oil .2 2/3 cup butterscotch chips .67 1/3 cup chopped nuts .33 Fraction Decimal equivalent for each fraction 3/9 (hint – reduce first) .33 3/4 .75 12/18 .67 4/6 .67 7/14 .5 1/3 .33 Activity 5: Percentages Converted to Decimal Equivalents then to Percentages (Extended Activity) Fraction Decimal Percentage 2/3 .67 66.7% 2/8 .25 25% 3/9 .33 33.3% 25/100 .25 25% 5/5 1.0 100% 4/8 .5 50% Virtual Math Girl: Module 3 – Answer Key © 2010 WBGU-­‐PBS. Permission is granted for non-­‐profit educational use. 4 Activity 6: Percentages Converted into Decimals, then to Fractions (Extended Activity) Percentage Decimal Fraction 30% .30 30/100 or 3/10 66% .66 66/100 or 33/50 5% .05 5/100 or 1/20 50% .50 50/100 or 1/2 33% .33 33/100 40% .40 40/100 or 2/5 Virtual Math Girl: Module 3 – Answer Key © 2010 WBGU-­‐PBS. Permission is granted for non-­‐profit educational use. 5