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

1 Name the fraction ★★★

The bar below is cut into equal parts.

1. Into how many equal parts is the bar cut? What is the unit fraction for one part?
2. What fraction of the bar is shaded?
3. What fraction of the bar is not shaded?

2 Pizza slices ★★★

A pizza is cut into 6 equal slices. Maya eats 1 slice at lunch and 2 more slices at dinner.

1. What unit fraction names one slice?
2. What fraction of the pizza did Maya eat in all?
3. What fraction is left? Write it in two ways.

3 Fill in the missing number ★★★

Find the missing number to make the fractions equivalent.

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

4 Name the points ★★★

Points A, B and C are marked on a number line from 0 to 1.

1. Write a fraction for each of the points A, B and C.
2. Point B has a simpler name. What is it?

5 True or false? ★★★

Say whether each statement is true or false and explain why.

1. \(\dfrac{2}{4}=\dfrac{1}{2}\)
2. \(\dfrac{3}{6}=\dfrac{1}{3}\)
3. \(\dfrac{4}{10}=\dfrac{2}{5}\)
4. \(\dfrac{2}{3}=\dfrac{3}{4}\)

6 Same denominator or same numerator ★★★

Write \(\lt\), \(\gt\) or \(=\) in each blank.

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

7 Above or below one half ★★★

Sort these fractions into three groups: less than \(\dfrac{1}{2}\), equal to \(\dfrac{1}{2}\), greater than \(\dfrac{1}{2}\).

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

8 Two equivalent fractions ★★★

Write two fractions equivalent to each fraction.

1. \(\dfrac{3}{4}\) (use denominators 8 and 12)
2. \(\dfrac{2}{5}\) (use denominators 10 and 100)

9 Simplify ★★★

Write each fraction in simplest form.

1. \(\dfrac{6}{8}\)
2. \(\dfrac{10}{12}\)
3. \(\dfrac{8}{12}\)
4. \(\dfrac{25}{100}\)

10 Oatmeal scoops ★★★

A recipe for oatmeal cookies needs \(\dfrac{2}{3}\) cup of oats. Lena only has a small scoop that holds \(\dfrac{1}{6}\) cup. How many level scoops of oats does she need? How many scoops would she need for \(\dfrac{1}{3}\) cup?

11 Fractions with unlike denominators ★★★

Compare with \(\lt\), \(\gt\) or \(=\). Show your common denominator.

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

12 Two number lines ★★★

The number lines show points A, B, C and D.

1. Write a fraction for each of A, B, C and D.
2. Which two points sit at the same place? Write the equivalent fractions.
3. Is D to the left or the right of B? Complete: \(\dfrac{5}{8}\ \_\_\ \dfrac{3}{4}\).

13 Who ran farther? ★★★

During gym class Leo ran \(\dfrac{3}{4}\) of a mile and Sara ran \(\dfrac{5}{8}\) of a mile. Who ran farther, and by how much?

14 Least to greatest ★★★

Order these fractions from least to greatest: \(\dfrac{1}{2}\), \(\dfrac{1}{3}\), \(\dfrac{1}{6}\), \(\dfrac{5}{6}\).

15 Find the unknown number ★★★

Find the missing number.

1. \(\dfrac{4}{5}=\dfrac{?}{100}\)
2. \(\dfrac{9}{12}=\dfrac{?}{4}\)
3. \(\dfrac{3}{8}=\dfrac{9}{?}\)
4. \(\dfrac{21}{?}=\dfrac{7}{10}\)

16 Find the mistake ★★★

Ben says: "\(\dfrac{2}{3}=\dfrac{4}{5}\) because I added 2 to the top and 2 to the bottom." Is Ben right? Explain. Then write a correct fraction equivalent to \(\dfrac{2}{3}\) with a denominator of 6, and say which of \(\dfrac{2}{3}\) and \(\dfrac{4}{5}\) is greater.

17 Which equal one half? ★★★

Circle every fraction equal to \(\dfrac{1}{2}\) and explain how you know: \(\dfrac{5}{10}\), \(\dfrac{6}{12}\), \(\dfrac{4}{9}\), \(\dfrac{50}{100}\), \(\dfrac{3}{5}\). For each other fraction, say if it is less than or greater than \(\dfrac{1}{2}\).

18 Ribbons for a craft ★★★

Ivy has three ribbons: a red one of \(\dfrac{5}{6}\) yard, a blue one of \(\dfrac{3}{4}\) yard and a green one of \(\dfrac{7}{12}\) yard. (One yard is 3 feet, or about 0.91 meter.)

1. Order the ribbons from shortest to longest.
2. Which ribbons are longer than \(\dfrac{2}{3}\) yard?

19 Same numerator ★★★

Explain why \(\dfrac{3}{5}\gt\dfrac{3}{8}\) even though 8 is greater than 5. Then order \(\dfrac{7}{10}\), \(\dfrac{7}{8}\) and \(\dfrac{7}{12}\) from least to greatest.

20 Phone batteries ★★★

Phone A is \(\dfrac{4}{10}\) charged, phone B is \(\dfrac{3}{5}\) charged and phone C is \(\dfrac{1}{2}\) charged. Which phone has the most charge? Order the phones from least to most charge.

21 Vegetable garden ★★★

In Omar's garden, \(\dfrac{4}{10}\) of the space grows tomatoes, \(\dfrac{1}{2}\) grows peppers and \(\dfrac{1}{10}\) grows beans.

1. Which crop covers the most space?
2. Compare tomatoes and peppers with a symbol.
3. What fraction of the garden is not peppers? Simplify it.
4. Check that the three crops fill the whole garden.

22 Fractions in between ★★★

1. List every fraction with denominator 8 that is greater than \(\dfrac{1}{2}\) and less than 1.
2. List every fraction with denominator 12 that is greater than \(\dfrac{1}{3}\) and less than \(\dfrac{2}{3}\).