Section D: Practice Problems Fraction Comparisons

Section Summary

Details

In this section, we compared fractions with the same numerator or denominator and used the symbols , , or to record our results. We used diagrams and number lines to represent our thinking.

2 number lines with a points marked at 4/6 and 5/6

fraction bar divided into 8 sections with 5 sections shaded
fraction bar divided into 6 sections with 5 sections shaded

Problem 1 (Lesson 14)

  1. Are and equivalent? Show your thinking using diagrams, symbols, or other representations.

  2. Are and equivalent? Show your thinking using diagrams, symbols, or other representations.

Problem 2 (Lesson 15)

Han says there is no fraction with denominator 8 that’s greater than because is a whole. Do you agree with Han? Explain your reasoning.

Problem 3 (Lesson 16)

Use the symbols or to make each statement true. Explain your reasoning.

Problem 4 (Lesson 17)

  1. Jada threw the ball of the length of the gym. Clare threw the ball of the length of the gym. Clare says she threw the ball farther. Do you agree? Show your thinking.

  2. Tyler kicked the ball the length of the playground. Andre kicked the ball the length of the playground. Andre says he kicked the ball farther. Do you agree? Show your thinking.

Problem 5 (Exploration)

Clare walked of the way around a park. Tyler walked of the way around a different park. Who walked farther? Explain your reasoning.

Problem 6 (Exploration)

Choose a fraction that you can compare with both and by looking at the numerators and denominators.