Introduction to Fractions: math practice, Grade 3 – download the PDF

1 Name the shaded fraction ★★★

A chocolate bar is cut into equal pieces. Some pieces are colored.

Write the fraction of the bar that is colored. Then name its numerator and its denominator.

2 Unit fractions in words ★★★

Write each amount as a fraction.

1. One piece of a sandwich that is cut into 2 equal pieces.
2. One part when a ribbon is cut into 6 equal parts.
3. Three pieces, each of size \(\dfrac{1}{4}\).

3 Shade the fractions ★★★

A strip is cut into 8 equal parts. You color \(\dfrac{3}{8}\) of it.

1. How many parts do you color?
2. How many parts stay white? What fraction of the strip is white?

4 Read a number line ★★★

The number line from 0 to 1 is cut into 4 equal lengths.

Write the fraction for point A and the fraction for point B.

5 Which piece is bigger? ★★★

Two friends cut sheets of paper of the same size. Ines cuts hers into 3 equal parts and Theo cuts his into 6 equal parts. Each keeps one part.

1. Who has the bigger piece?
2. Compare \(\dfrac{1}{2}\) and \(\dfrac{1}{8}\) with > or <.

6 Whole numbers as fractions ★★★

Write the number 1 as a fraction with denominator 4, then with denominator 8, then with denominator 6. Then write \(\dfrac{5}{1}\) as a whole number.

7 True or false? ★★★

Say whether each sentence is true or false, and explain.

1. \(\dfrac{3}{3}\) is equal to one whole.
2. A square is cut into 4 pieces of different sizes. Each piece is \(\dfrac{1}{4}\) of the square.
3. \(\dfrac{1}{5}\) is greater than \(\dfrac{1}{4}\).

8 Same denominator ★★★

Compare with >, < or =.

1. \(\dfrac{4}{6}\) and \(\dfrac{2}{6}\)
2. \(\dfrac{5}{8}\) and \(\dfrac{7}{8}\)

Then put these fractions in order from least to greatest: \(\dfrac{3}{6},\ \dfrac{5}{6},\ \dfrac{1}{6},\ \dfrac{4}{6}\).

9 Same numerator ★★★

Compare with >, < or =, and say which rule you use.

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

Order from least to greatest: \(\dfrac{2}{3},\ \dfrac{2}{6},\ \dfrac{2}{4}\).

10 Equal or not? ★★★

Look at the bars. They have the same length.

1. Are \(\dfrac{2}{3}\) and \(\dfrac{4}{6}\) equal? Explain with the picture.
2. Fill in the blanks: \(\dfrac{1}{2} = \dfrac{\ ?\ }{6}\) and \(\dfrac{3}{4} = \dfrac{\ ?\ }{8}\).

11 Fractions beyond 1 ★★★

A number line from 0 to 2 has each unit cut into thirds.

1. Name the fractions at P and at Q.
2. Which point is closer to 2?

12 Crayons in a box ★★★

A box holds 12 crayons in 4 equal groups. Red crayons are \(\dfrac{1}{4}\) of the box.

1. How many crayons are red?
2. What fraction of the crayons are not red, and how many are they?

13 Slices of banana bread ★★★

Nora cuts a loaf of banana bread into 8 equal slices. She eats 3 slices and her brother eats 2 slices.

1. What fraction of the loaf did Nora eat? Her brother?
2. What fraction did they eat together?
3. What fraction of the loaf is left?

14 Wholes written as fractions ★★★

1. Write 2 as a fraction with denominator 6.
2. Write 3 as a fraction with denominator 4.
3. How many halves are in 4? Write your answer as a fraction.

15 Compare to one whole ★★★

Compare with > or <. Use whole numbers as fractions to explain.

1. \(\dfrac{4}{4}\) and \(\dfrac{5}{6}\)
2. \(\dfrac{6}{3}\) and \(\dfrac{7}{4}\)

16 Find the mistake ★★★

Leo says: “\(\dfrac{1}{8}\) is greater than \(\dfrac{1}{3}\) because 8 is greater than 3.”

1. Explain Leo’s mistake.
2. Draw or describe a picture that shows the correct comparison.

17 Marbles in a bag ★★★

A bag holds 24 marbles. Of them, \(\dfrac{3}{8}\) are blue, \(\dfrac{1}{6}\) are green, and \(\dfrac{2}{3}\) of them are glass.

1. How many marbles are blue?
2. How many marbles are green? How many marbles are not green?
3. How many marbles are glass?

18 Trail race ★★★

Sam and Ana run on trails of the same length. Sam runs \(\dfrac{3}{4}\) of his trail and Ana runs \(\dfrac{5}{8}\) of hers.

Who ran farther? Use equivalent fractions to explain.

19 Find the equal fractions ★★★

The bars below have the same length.

1. Which fraction is equal to \(\dfrac{1}{2}\)?
2. Which fraction is equal to \(\dfrac{2}{3}\)?
3. Is \(\dfrac{3}{6}\) greater than or less than \(\dfrac{4}{6}\)? Is \(\dfrac{1}{2}\) greater than or less than \(\dfrac{2}{3}\)?

20 Ribbon in inches ★★★

A ribbon is 12 inches long (about 30 centimeters). Maya cuts it into 4 equal pieces.

1. What fraction of the ribbon is one piece? How many inches long is it?
2. She uses 3 pieces for a gift. What fraction of the ribbon is that? How many inches?

21 Paper strip in centimeters ★★★

A paper strip is 24 centimeters long (a little under 10 inches). It is cut into 8 equal pieces.

1. How long is one piece?
2. Five pieces are painted blue. What fraction of the strip is blue, and how many centimeters is that?
3. The rest is red. What fraction is red?