Scenario: Baking & Measurements - Learn to scale recipes and solve complex measurement problems!
A recipe calls for 3/4 cup of sugar. You want to make 1½ times the original amount. How much sugar do you need?
Calculation: 3/4 × 1½ = 3/4 × 3/2 = 9/8 = 1⅛ cups
You need 1⅛ cups of sugar for the scaled recipe.
Step 1: Convert mixed number to improper fraction
1½ = 1 + ½ = 2/2 + 1/2 = 3/2
Step 2: Multiply fractions
3/4 × 3/2 = (3×3)/(4×2) = 9/8
Step 3: Convert to mixed number
9/8 = 8/8 + 1/8 = 1 + 1/8 = 1⅛
Calculate: 2.5 + (-3.8) × 2
Solution: 2.5 + (-3.8) × 2 = 2.5 - 7.6 = -5.1
Remember: Multiplication before addition (order of operations)
Step 1: Perform multiplication first
(-3.8) × 2 = -7.6
Step 2: Add the result to 2.5
2.5 + (-7.6) = 2.5 - 7.6 = -5.1
A diver is at -20.5 meters depth. They rise 15.8 meters, then descend 7.3 meters. What is their final depth?
Calculation: -20.5 + 15.8 - 7.3 = -12.0 meters
The diver ends up 12 meters below sea level.
Step 1: Start at -20.5 meters
Step 2: Rise 15.8 meters: -20.5 + 15.8 = -4.7 meters
Step 3: Descend 7.3 meters: -4.7 - 7.3 = -12.0 meters
A recipe needs 2/3 cup of flour. You want to make 2¼ times the recipe. How much flour do you need?
Your solution:
Calculate: 1.5 - 2.3 × 0.5 + 1.2
Your solution:
A construction worker needs to cut a 12.75-foot board into 3 equal pieces. Each piece will be 0.5 inches shorter than the calculated length due to saw blade width. What is the final length of each piece?
Your calculation: