Lesson 6: Solve Multi-step Fraction Problems

Property

To solve multi-step word problems involving fractions and mixed numbers, follow these steps:

1. Identify: Read the problem carefully to determine what is being asked and identify the necessary operations (addition, subtraction).
2. Set up: Write mathematical expressions that represent the steps in the problem.
3. Calculate: Solve the expressions, finding common denominators and regrouping as needed.
4. Answer: State your final answer clearly, including units.

Examples

Maria started with $4\frac{1}{2}$ cups of flour. She used $\frac{3}{4}$ cups for baking cookies. Then she added $2\frac{1}{3}$ cups of flour to the bowl for another recipe. How much flour is in the bowl now?

• Step 1: Calculate flour left after using some

• Step 2: Add the new flour to the remainder

Property

To solve multi-step word problems involving both mixed numbers and fractions, you can use one of two main strategies:

1. Convert to Improper Fractions: Change all mixed numbers into improper fractions, find a common denominator, then perform the required addition and subtraction.
2. Operate on Parts: Add or subtract the whole numbers and the fractional parts separately. You may need to regroup (borrow from a whole number) when subtracting a larger fraction from a smaller one.

Examples