Customary unit conversions involving fractions and mixed numbers

Learning Objectives Identify and recall common customary unit conversion factors for length, weight, and capacity. Convert mixed numbers to improper fractions and vice versa. Accurately convert larger customary units to smaller units using multiplication, involving fractions and mixed numbers. Accurately convert smaller customary units to larger units using division, involving fractions and mixed numbers. Simplify fractional results of unit conversions to their lowest terms or express them as mixed numbers. Solve real-world problems that require customary unit conversions with fractional and mixed number values. Have you ever tried to follow a recipe 🧑‍🍳 that calls for 1 1/2 cups of flour, but your measuring cups are only marked in ounces, or you need to scale it down? In...

TermDefinitionExample Customary UnitsA system of measurement commonly used in the United States, including units for length (inches, feet, yards, miles), weight (ounces, pounds, tons), and capacity (fluid ounces, cups, pints, quarts, gallons).Length: 12 inches = 1 foot; Weight: 16 ounces = 1 pound; Capacity: 4 quarts = 1 gallon. Conversion FactorA ratio that relates two different units of measurement, used to convert from one unit to another.The conversion factor between feet and inches is 12 inches/1 foot or 1 foot/12 inches. FractionA number representing a part of a whole, expressed as a numerator (top number) over a denominator (bottom number).1/2 (one-half), 3/4 (three-quarters), 5/8 (five-eighths). Mixed NumberA number consisting of a whole number and a proper fraction.2 1/2 (two and...

Converting Larger Units to Smaller Units `\text{Smaller Unit Value} = \text{Larger Unit Value} \times \text{Conversion Factor}` When converting from a larger unit to a smaller unit (e.g., feet to inches), you multiply the given value by the conversion factor. This makes sense because you will have 'more' of the smaller units. Converting Smaller Units to Larger Units `\text{Larger Unit Value} = \text{Smaller Unit Value} \div \text{Conversion Factor}` When converting from a smaller unit to a larger unit (e.g., inches to feet), you divide the given value by the conversion factor. This makes sense because you will have 'fewer' of the larger units. Converting Mixed Numbers to Improper Fractions `\text{Whole Number} \frac{\text{Numerator}}{\text{Denominat...