Test questions for multi-step fraction operations in Grade 6 math

📚 Quick Study Guide

• ➕ Adding and Subtracting Fractions: 🍎 Make sure the fractions have a common denominator before adding or subtracting. If not, find the least common multiple (LCM) of the denominators.
• ✖️ Multiplying Fractions: 🍫 Multiply the numerators and the denominators straight across. Simplify if needed.
• ➗ Dividing Fractions: 🍕 Flip the second fraction (the divisor) and multiply. This is the same as multiplying by the reciprocal.
• 🧮 Order of Operations (PEMDAS/BODMAS): Remember to follow the correct order: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
• 💡 Simplifying Fractions: Always simplify your final answer to its lowest terms. Find the greatest common factor (GCF) of the numerator and denominator and divide both by it.

Practice Quiz

1. What is $\frac{1}{2} + \frac{1}{4} \times \frac{2}{3}$?
1. $\frac{1}{3}$
2. $\frac{2}{5}$
3. $\frac{5}{12}$
4. $\frac{2}{3}$
2. Calculate: $(\frac{3}{4} - \frac{1}{2}) \div \frac{1}{8}$
1. 2
2. 4
3. 6
4. 8
3. Solve: $\frac{2}{5} \times (\frac{1}{3} + \frac{1}{2})$
1. $\frac{1}{15}$
2. $\frac{1}{6}$
3. $\frac{1}{3}$
4. $\frac{1}{5}$
4. Evaluate: $\frac{5}{6} - \frac{1}{3} \div \frac{2}{5}$
1. $\frac{-5}{6}$
2. $\frac{1}{12}$
3. $\frac{1}{6}$
4. $\frac{5}{12}$
5. What is $\frac{7}{8} \div (\frac{1}{4} + \frac{1}{2})$?
1. $\frac{7}{6}$
2. $\frac{14}{3}$
3. $\frac{21}{8}$
4. $\frac{7}{2}$
6. Find the value of: $(\frac{2}{3} + \frac{1}{6}) \times \frac{3}{4}$
1. $\frac{1}{2}$
2. $\frac{5}{8}$
3. $\frac{5}{12}$
4. $\frac{7}{24}$
7. Calculate: $\frac{4}{5} \div \frac{2}{3} - \frac{1}{5}$
1. $\frac{1}{2}$
2. $\frac{7}{10}$
3. $\frac{11}{10}$
4. $\frac{2}{5}$