Lesson 14 How Do You Compare Fractions?

    • Let’s represent and compare fractions.

Warm-up Number Talk: Which Whole Numbers?

Find the whole number that each fraction is equivalent to.

Activity 1 Equivalent or Not?

Are these fractions equivalent? Show your thinking using diagrams, symbols, or other representations.

  1. and

  2. and

  3. and

Activity 2 Same Fractions, Different Result?

Han says is less than . His work is shown.

Number lines.

Lin says is greater than . Her work is shown.

Two number lines. Top, 0 to 1 by sixths. Only 0 and 1 labeled. Point plotted at 4 sixths. Bottom, 0 to 1 by sixths, 0 and 1 labeled, point plotted at 5 sixths.

Why might Han and Lin make different comparison statements for the same fractions?

Practice Problem

Problem 1

  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.