Unit 5, Section C

Equivalent Fractions

Grade 3

Practice

Select all correct statements.

\(\frac{1}{2}\) 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 \(\frac{3}{4}\).

Each diagram represents 1.

Write as many fractions as you can that are represented by the shaded part of each diagram.

Tyler draws these number lines 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 \(\frac{3}{4}\).

Write 10 as a fraction in 2 different ways.
Is \(\frac{88}{8}\) equivalent to a whole number? Explain or show your reasoning.

Exploration

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

\(\frac{100}{2}\)
\(\frac{100}{3}\)
\(\frac{100}{4}\)
\(\frac{100}{6}\)
\(\frac{100}{8}\)

Exploration

If you continue to fold a fraction strip, how many parts can you fold it into? Can you fold the strip into 100 equal parts? Explain your reasoning.