Section C: Practice Problems Equivalent Fractions

Section Summary

Details

In this section, we learned that different fractions can be equivalent. We know fractions are equivalent if they are the same size or located at the same location on the number line.

$\frac{1}{3} = \frac{2}{6}$

Number line. Scale 0 to 1 by eighths and fourths. Evenly spaced tick marks. First tick mark, 0. Last tick mark, 1. Point plotted at 3 fourths.

$\frac{6}{8} = \frac{3}{4}$

We also learned that some fractions are whole numbers, and that we can write whole numbers as fractions.

$4 = \frac{12}{3}$

Problem 1 (Lesson 10)

Select all correct statements.

Diagram. Rectangle partitioned into 2 equal parts, each labeled one half.

Diagram. Rectangle partitioned into 3 equal parts, each labeled one third.

Diagram. Rectangle partitioned into 4 equal parts, each part labeled one fourth.

Diagram. Rectangle partitioned into 6 equal parts, each labeled one sixth.

$\frac{1}{2}$ is equivalent to $\frac{3}{6}$
$\frac{1}{2}$ is equivalent to $\frac{1}{3}$
$\frac{2}{2}$ is equivalent to $\frac{4}{4}$
$\frac{2}{2}$ is equivalent to $\frac{6}{6}$
$\frac{2}{3}$ is equivalent to $\frac{4}{6}$
$\frac{2}{3}$ is equivalent to $\frac{3}{4}$

Problem 2 (Lesson 11)

Write as many fractions as you can that represent the shaded part of each diagram.

Problem 3 (Lesson 12)

Tyler draws this picture and says that $\frac{3}{4}$ is equivalent to $\frac{2}{3}$ . Explain why Tyler is not correct.
Find a fraction equivalent to $\frac{2}{3}$ .
Find a fraction equivalent to $\frac{3}{4}$ .

Problem 4 (Lesson 13)

Write 10 as a fraction in 2 different ways.
Is $\frac{88}{8}$ equivalent to a whole number?

Problem 5 (Exploration)

Decide if each fraction is a whole number. Explain or show your reasoning.

$\frac{100}{2}$
$\frac{100}{3}$
$\frac{100}{4}$
$\frac{100}{6}$
$\frac{100}{8}$

Problem 6 (Exploration)

If you continue to fold fraction strips, how many parts can you fold them into? Can you fold them into 100 equal parts?