1. Solving Complex Fractions and Unit Rates

2. Step 1: Identify the Numerator and denominator
Numerator is 2 1 7
Denominator is

3. Step 2: Translate the Complex Fraction into an equation (sentence)
𝑡𝑟𝑎𝑛𝑠𝑙𝑎𝑡𝑒𝑠 𝑡𝑜
÷ 3 5 8

4. Step 3: Change all parts (whole numbers or mixed fractions) into improper fractions
÷ 3 5 8
2 × 7 = = ÷ 3 × 8 = =29 8

5. Remember to keep the denominator the same!
Step 3: Change all parts (whole numbers or mixed fractions) into fractions (cont’d)
2 × 7 = = ÷ 3 × 8 = =29 8
Remember to keep the denominator the same!
15 7 ÷ 29 8

6. Keeps, changes, and flips to
Step 4: Keep, Change, flip
15 7 ÷ 29 8
Keeps, changes, and flips to
15 7 × 8 29

7. Equation translates to
Step 5: solve equation
Solve the Equation by multiplying straight across
𝟏𝟓 𝟕 × 𝟖 𝟐𝟗
Equation translates to
𝟏𝟓×𝟖 𝟕×𝟐𝟗 = 𝟏𝟐𝟎 𝟐𝟎𝟑

8. Step 6: simplify
Simplify if needed