Summary of Finding Fractions of Quantities

Basic Concepts of Fractions

  • Understanding fractions is fundamental before dealing with percentages.

  • Finding a fraction of a whole involves division and multiplication.

Exercises on Finding Fractions

  • Exercise 1: Aaliyah's 30 apples:

    • Two-fifths of 30: Set up product and evaluate in two ways.

  • Exercise 2: Evie's 32 candies:

    • Five-eighths are red: Set up product for red candies.

    • Determine green candies as three-quarters of non-red.

  • Exercise 3: 7th graders wearing shorts:

    • 80 students total: Seven-tenths wore shorts.

    • Three-sevenths of those in shorts wore tank tops.

  • Exercise 4: Ms. Lopez's survey:

    • 18 out of 30 liked chocolate ice cream.

    • Find the ratio of students liking chocolate (simplify).

  • Exercise 5: Classroom eye colors:

    • Fractions in simplest form for brown, blue, and green eyes.

Practice Problems

  • Fluency: Shade two-thirds in tape diagram and find unshaded fraction.

  • Using Math:

    • Five-sixths of 48 kids at tennis camp: Fill tape diagram, evaluate.

    • Five-twelfths of 276 conference attendees brought laptops: Find number.

  • Amelia's candy collection: 54 pieces total, five-ninths chocolate; two-thirds of non-chocolate are gum.

  • Soccer game survey: 21 out of 56 rooting for away team. Identify fraction.

  • Lunch situation: 84 kids, three-sevenths bought lunch; nine got pizza: Find that fraction.