Lesson 16 Compare Fractions with the Same Numerator

    • Let’s compare two fractions with the same numerator.

Warm-up True or False: Unit Fractions

Decide whether each statement is true or false. Be prepared to explain your reasoning.

Activity 1 Five Parts of Something

Problem 1

Priya says that is greater than .

Tyler says that is greater than .

Who do you agree with? Show your thinking using diagrams or number lines.

Problem 2

Students in pairs discussing math.

For each pair of fractions, which fraction do you think is greater?

  1. or

  2. or

  3. or

Problem 3

Locate and label each fraction on a number line:

  1. Number line. Evenly spaced tick marks labeled 0 to 3.  First tick mark, 0. Last tick mark, 3.

  2. Number line. Evenly spaced tick marks labeled 0 to 3.  First tick mark, 0. Last tick mark, 3.

  3. Number line. Evenly spaced tick marks labeled 0 to 3.  First tick mark, 0. Last tick mark, 3.

  4. Number line. Evenly spaced tick marks labeled 0 to 3.  First tick mark, 0. Last tick mark, 3.

  5. Number line. Evenly spaced tick marks labeled 0 to 3.  First tick mark, 0. Last tick mark, 3.

Problem 4

What do you notice about the points? Make 1–2 observations.

Activity 2 Fractions with the Same Numerator

Problem 1

For each pair of fractions, circle the fraction that is greater. Explain or show your reasoning.

Problem 2

Use the symbols > or < to make each statement true. Be prepared to explain your reasoning.

Problem 3

Write in the missing denominator of the fraction to make each statement true. Be prepared to explain your reasoning.

Practice Problem

Problem 1

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