Equivalent Fractions and Comparing: math test, Grade 4 – download the PDF

1 Name and simplify / 3 pts

The bar is cut into equal parts.

1. What unit fraction names one part?
2. What fraction of the bar is shaded?
3. Write that fraction in simplest form.

2 Equivalent fractions / 4 pts

Find the missing number.

1. \(\dfrac{3}{5}=\dfrac{?}{10}\)
2. \(\dfrac{5}{6}=\dfrac{?}{12}\)
3. \(\dfrac{8}{12}=\dfrac{2}{?}\)
4. \(\dfrac{30}{100}=\dfrac{3}{?}\)

3 Simplest form / 3 pts

Write each fraction in simplest form.

1. \(\dfrac{6}{10}\)
2. \(\dfrac{9}{12}\)
3. \(\dfrac{40}{100}\)

4 Compare / 4 pts

Write \(\lt\), \(\gt\) or \(=\). Show your work.

1. \(\dfrac{5}{6}\ \_\_\ \dfrac{2}{3}\)
2. \(\dfrac{3}{8}\ \_\_\ \dfrac{1}{2}\)
3. \(\dfrac{7}{12}\ \_\_\ \dfrac{3}{4}\)
4. \(\dfrac{4}{10}\ \_\_\ \dfrac{2}{5}\)

5 Number line / 3 pts

Points P, Q and R are on a number line from 0 to 1.

1. Write a fraction for each point.
2. Write the fraction for Q in simplest form.
3. Is R greater than or less than \(\dfrac{3}{4}\)? Justify.

6 Word problem: bookmarks / 3 pts

Hana cuts bookmarks from paper strips. Her blue strip is \(\dfrac{3}{4}\) foot long, her red strip is \(\dfrac{2}{3}\) foot long and her green strip is \(\dfrac{5}{6}\) foot long. (One foot is about 30 centimeters.)

1. Rewrite the three lengths with a common denominator.
2. Order the strips from shortest to longest.
3. Write a sentence to say which strip is the longest.