Lesson 3 Same Denominator or Numerator

- Let’s compare fractions with the same numerator or the same denominator.

Warm-up Number Talk: Hundreds More

Find the value of each expression mentally.

$136 + 100$
$136 + 300$
$136 + 370$
$136 + 378$

Activity 1 Fractions with the Same Denominator

Problem 1

This diagram shows a set of fraction strips. Label each rectangle with the fraction it represents.

Problem 2

Circle the greater fraction in each of the following pairs. If helpful, use the diagram of fraction strips.

1. $\frac{3}{4}$
2. $\frac{5}{4}$
1. $\frac{3}{5}$
2. $\frac{5}{5}$
1. $\frac{3}{6}$
2. $\frac{5}{6}$
1. $\frac{3}{8}$
2. $\frac{5}{8}$
1. $\frac{3}{10}$
2. $\frac{5}{10}$

Problem 3

What pattern do you notice about the circled fractions? How can you explain the pattern?

Problem 4

Which one is greater: $\frac{7}{3}$ or $\frac{10}{3}$ ? Explain your reasoning.

Activity 2 Fractions with the Same Numerator

Problem 1

Circle the greater fraction in each of the following pairs. If helpful, use the diagram of fraction strips.

1. $\frac{1}{3}$
2. $\frac{1}{5}$
1. $\frac{2}{3}$
2. $\frac{2}{5}$
1. $\frac{3}{3}$
2. $\frac{3}{5}$
1. $\frac{4}{3}$
2. $\frac{4}{5}$
1. $\frac{9}{3}$
2. $\frac{9}{5}$

Problem 2

What pattern do you notice about the circled fractions? How can you explain the pattern?

Problem 3

Which one is greater: $\frac{70}{100}$ or $\frac{70}{20}$ ? Explain your reasoning.

Problem 4

Tyler is comparing $\frac{4}{10}$ and $\frac{4}{6}$ . He says, “Ten is greater than 6, so $\frac{4}{10}$ is greater than $\frac{4}{6}$ .” Explain or show why Tyler’s conclusion is incorrect.

Practice Problem

Problem 1

For each pair of fractions, decide which is greater. Explain or show your reasoning.

$\frac{1}{8}$ or $\frac{1}{10}$
$\frac{4}{10}$ or $\frac{7}{10}$
$\frac{4}{5}$ or $\frac{5}{4}$