Unit 2 Comprehensive Practice Worksheet

Helpful Tips & Tricks

Simplifying Fractions: Find the largest number that divides evenly into both the top and bottom. If you're not sure, start with small numbers! If both are even, divide by 2. If they end in 0 or 5, try dividing by 5. Keep dividing until you can't go any further.
Comparing Fractions (Butterfly Method): Multiply diagonally upwards. The fraction on the side with the bigger product is the bigger fraction.
Mixed to Improper: Multiply the whole number by the denominator, then add the numerator. Keep the same denominator.
Improper to Mixed: Divide the numerator by the denominator. The result is the whole number, the remainder is the new numerator.
Adding & Subtracting: The denominator (bottom number) stays the same. Just add or subtract the numerators (top numbers)!

Section 1: Simplifying & Equivalent Fractions

Simplify each fraction to its lowest terms.

$\frac{8}{10} = $

$\frac{4}{6} = $

$\frac{6}{8} = $

$\frac{10}{12} = $

$\frac{9}{12} = $

$\frac{12}{16} = $

$\frac{14}{16} = $

$\frac{15}{20} = $

$\frac{12}{18} = $

$\frac{18}{24} = $

$\frac{20}{25} = $

$\frac{21}{28} = $

$\frac{24}{30} = $

$\frac{25}{50} = $

$\frac{30}{36} = $

$\frac{16}{32} = $

Find the missing number to make the fractions equivalent.

$\frac{1}{2} = \frac{?}{8}$

$\frac{2}{3} = \frac{?}{9}$

$\frac{3}{4} = \frac{9}{?}$

$\frac{1}{5} = \frac{?}{20}$

$\frac{5}{6} = \frac{10}{?}$

$\frac{3}{5} = \frac{?}{15}$

$\frac{4}{7} = \frac{8}{?}$

$\frac{2}{5} = \frac{?}{25}$

Section 2: Comparing Fractions

Compare the fractions using <, >, or =.

$\frac{2}{5} \bigcirc \frac{4}{5}$

$\frac{1}{2} \bigcirc \frac{5}{10}$

$\frac{7}{8} \bigcirc \frac{5}{8}$

$\frac{3}{4} \bigcirc \frac{9}{12}$

$\frac{5}{6} \bigcirc \frac{1}{6}$

$\frac{8}{10} \bigcirc \frac{4}{5}$

Section 3: Improper Fractions & Mixed Numbers

Convert the mixed numbers to improper fractions.

$1\frac{1}{2} = $

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

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

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

Convert the improper fractions to mixed numbers.

$\frac{5}{2} = $

$\frac{7}{4} = $

$\frac{10}{3} = $

$\frac{11}{5} = $

Section 4: Adding & Subtracting Fractions

Solve the equations. Remember to simplify your answer if possible.

$\frac{1}{5} + \frac{2}{5} = $

$\frac{4}{6} - \frac{1}{6} = $

$\frac{3}{8} + \frac{3}{8} = $

$\frac{9}{10} - \frac{3}{10} = $

$\frac{5}{12} + \frac{1}{12} = $

$\frac{7}{9} - \frac{4}{9} = $