Learn on PengiEureka Math, Grade 5Chapter 10: Measurement Word Problems with Whole Number and Decimal Multiplication

Lesson 2: Use fraction and decimal multiplication to express equivalent measurements.

In this Grade 5 Eureka Math lesson from Chapter 10, students learn to convert between units of measurement by multiplying by unit fractions and decimals, such as expressing 14 days as weeks using the relationship 1 day = 1/7 week. The lesson covers both customary and metric conversions, including feet to yards, quarts to gallons, centimeters to meters, and meters to kilometers. Students practice rewriting measurements in equivalent forms using fraction multiplication and decimal notation.

Section 1

Expressing a Unit as a Fraction or Decimal of a Larger Unit

Property

If it takes $N$ smaller units to make 1 larger unit, then one smaller unit is equal to $\frac{1}{N}$ of the larger unit.

1 \text{ smaller unit} = \frac{1}{N} \text{ larger unit}

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Expressing a Unit as a Fraction or Decimal of a Larger Unit

Property

If it takes $N$ smaller units to make 1 larger unit, then one smaller unit is equal to $\frac{1}{N}$ of the larger unit.

1 \text{ smaller unit} = \frac{1}{N} \text{ larger unit}