Operations with Fractions
Fraction arithmetic reaches its full scope in Grade 8. Dividing fractions — multiplying by the reciprocal — is the last operation students master, and it has practical meaning: how many 3/4-cup servings fit in 5 cups? Fluency with all four operations on fractions is essential for rational expressions in Grade 9 and beyond.
What students explore
Fraction arithmetic reaches its full scope in Grade 8. Dividing fractions — multiplying by the reciprocal — is the last operation students master, and it has practical meaning: how many 3/4-cup servings fit in 5 cups? Fluency with all four operations on fractions is essential for rational expressions in Grade 9 and beyond.
Key ideas
Add, subtract, multiply, and divide fractions and mixed numbers. Apply fraction operations to multi-step problems. Convert between improper fractions and mixed numbers. Solve word problems involving fractions in real contexts.
Putting it together
Apply these ideas through worked examples, guided practice, and real-world problems.