Fractions Mastery Worksheet

Name:

Date:

$Pizza slices and fraction circles$

🍕 Part 1: Converting Between Mixed Numbers and Improper Fractions

Remember: To convert a mixed number to an improper fraction: multiply the whole number by the denominator, add the numerator, keep the same denominator.

1. MUST: Convert these improper fractions to mixed numbers:

a) 7/4 = _______ b) 11/3 = _______ c) 9/2 = _______

2. MUST: Convert these mixed numbers to improper fractions:

a) 2 1/3 = _______ b) 1 3/4 = _______ c) 3 2/5 = _______

3. COULD: Sarah has 13/4 pizzas for her party. How many whole pizzas does she have, and what fraction is left over?

4. SHOULD: Which is larger: 2 3/8 or 19/8? Show your working and explain your reasoning.

➕ Part 2: Adding and Subtracting Fractions

Remember: When fractions have the same denominator, add or subtract the numerators and keep the denominator the same.

5. MUST: Add or subtract these fractions with the same denominator:

a) 2/7 + 3/7 = _______ b) 5/6 - 1/6 = _______ c) 3/8 + 4/8 = _______

6. COULD: Calculate and convert your answer to a mixed number if needed:

a) 7/5 + 4/5 = _______ b) 8/3 - 2/3 = _______

7. SHOULD: Solve and simplify your answers:

a) 3/10 + 5/10 = _______ b) 7/12 + 8/12 = _______

8. EXTENSION: Use equivalent fractions to solve these problems with related denominators:

a) 1/2 + 1/4 = _______ b) 3/4 - 1/8 = _______

Explain your method for finding equivalent fractions:

🎯 Part 3: Problem Solving Challenge

9. Tom ate 2/8 of a chocolate bar on Monday and 3/8 on Tuesday. What fraction of the chocolate bar has he eaten in total? Express your answer as a mixed number if appropriate.

10. EXTENSION: A recipe calls for 1 1/3 cups of flour, but Maya only has 5/6 cups. How much more flour does she need? Show all working and justify your reasoning using correct mathematical terminology.