Unit 2 Fractions: Practice Drill

Name: __________________________

Date: ________________

Section 1: What a Fraction Represents

For each description, write the fraction.

  1. A pizza has 8 slices and you eat 3. What fraction did you eat?
  2. A bag has 10 marbles. 7 are red. What fraction of the marbles are red?
  3. There are 5 birds on a wire. 2 fly away. What fraction of the birds flew away?
  4. You have 12 pencils and 5 are sharpened. What fraction is sharpened?
  5. A recipe needs 4 cups of flour. You only have 1 cup. What fraction of the flour do you have?
  6. There are 20 students in a class. 11 are girls. What fraction of the class are boys?

Section 2: Equivalent Fractions & Simplifying

Simplify each fraction to its lowest terms.

$\frac{4}{6} = $
$\frac{8}{10} = $
$\frac{9}{12} = $
$\frac{10}{20} = $
$\frac{12}{18} = $
$\frac{15}{25} = $
$\frac{6}{9} = $
$\frac{14}{16} = $
$\frac{20}{30} = $
$\frac{5}{15} = $
$\frac{16}{24} = $
$\frac{18}{27} = $

Find the missing number to make the fractions equivalent.

$\frac{1}{2} = \frac{?}{8}$
$\frac{2}{3} = \frac{?}{12}$
$\frac{3}{4} = \frac{9}{?}$
$\frac{1}{5} = \frac{?}{20}$
$\frac{5}{6} = \frac{10}{?}$
$\frac{3}{7} = \frac{?}{21}$
$\frac{4}{5} = \frac{16}{?}$
$\frac{2}{9} = \frac{?}{27}$

Section 3: Comparing Fractions

Compare the fractions using <, >, or =.

$\frac{1}{4} \bigcirc \frac{3}{4}$
$\frac{2}{5} \bigcirc \frac{1}{5}$
$\frac{1}{2} \bigcirc \frac{3}{6}$
$\frac{5}{8} \bigcirc \frac{7}{8}$
$\frac{3}{3} \bigcirc \frac{5}{5}$
$\frac{6}{10} \bigcirc \frac{4}{10}$
$\frac{7}{10} \bigcirc \frac{9}{10}$
$\frac{2}{8} \bigcirc \frac{1}{4}$
$\frac{5}{6} \bigcirc \frac{1}{6}$
$\frac{4}{7} \bigcirc \frac{6}{7}$
$\frac{9}{12} \bigcirc \frac{3}{4}$
$\frac{2}{3} \bigcirc \frac{1}{3}$

Section 4: Improper Fractions & Mixed Numbers

Convert the mixed numbers to improper fractions.

$1\frac{1}{2} = $
$2\frac{3}{4} = $
$3\frac{2}{5} = $
$4\frac{1}{3} = $
$2\frac{2}{5} = $
$5\frac{1}{4} = $

Convert the improper fractions to mixed numbers.

$\frac{5}{3} = $
$\frac{9}{4} = $
$\frac{10}{7} = $
$\frac{11}{2} = $
$\frac{8}{3} = $
$\frac{16}{5} = $

Section 5: Adding & Subtracting Fractions

Find the sum or difference. Simplify your answer if possible.

$\frac{1}{5} + \frac{3}{5} = $
$\frac{4}{8} + \frac{2}{8} = $
$\frac{6}{10} - \frac{3}{10} = $
$\frac{7}{9} - \frac{4}{9} = $
$\frac{2}{7} + \frac{5}{7} = $
$\frac{11}{12} - \frac{3}{12} = $
$\frac{3}{6} + \frac{1}{6} = $
$1\frac{1}{4} + 2\frac{2}{4} = $
$\frac{2}{9} + \frac{5}{9} = $
$\frac{8}{11} - \frac{3}{11} = $
$\frac{1}{8} + \frac{5}{8} = $
$\frac{9}{10} - \frac{2}{10} = $
$\frac{3}{15} + \frac{7}{15} = $
$\frac{10}{14} - \frac{3}{14} = $
$3\frac{1}{5} + 1\frac{2}{5} = $
$4\frac{5}{6} - 2\frac{4}{6} = $