Learn on PengienVision, Mathematics, Grade 4Chapter 12: Understand and Compare Decimals

Lesson 4: Add Fractions with Denominators of 10 and 100

Property.

Section 1

Numerical Equivalence of Tenths and Hundredths

Property

To create an equivalent fraction for tenths and hundredths, multiply or divide both the numerator and the denominator by 10.

a10=a×1010×10andb100=b÷10100÷10\frac{a}{10} = \frac{a \times 10}{10 \times 10} \quad \text{and} \quad \frac{b}{100} = \frac{b \div 10}{100 \div 10}

Examples

Section 2

Model Adding Tenths and Hundredths

Property

To add fractions with denominators of 10 and 100, you can use a model with 100 equal parts. On this model, one tenth is equivalent to ten hundredths.

110=10100\frac{1}{10} = \frac{10}{100}

Book overview

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Chapter 12: Understand and Compare Decimals

  1. Lesson 1

    Lesson 1: Fractions and Decimals

  2. Lesson 2

    Lesson 2: Fractions and Decimals on the Number Line

  3. Lesson 3

    Lesson 3: Compare Decimals

  4. Lesson 4Current

    Lesson 4: Add Fractions with Denominators of 10 and 100

  5. Lesson 5

    Lesson 5: Solve Word Problems Involving Money

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Numerical Equivalence of Tenths and Hundredths

Property

To create an equivalent fraction for tenths and hundredths, multiply or divide both the numerator and the denominator by 10.

a10=a×1010×10andb100=b÷10100÷10\frac{a}{10} = \frac{a \times 10}{10 \times 10} \quad \text{and} \quad \frac{b}{100} = \frac{b \div 10}{100 \div 10}

Examples

Section 2

Model Adding Tenths and Hundredths

Property

To add fractions with denominators of 10 and 100, you can use a model with 100 equal parts. On this model, one tenth is equivalent to ten hundredths.

110=10100\frac{1}{10} = \frac{10}{100}

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 12: Understand and Compare Decimals

  1. Lesson 1

    Lesson 1: Fractions and Decimals

  2. Lesson 2

    Lesson 2: Fractions and Decimals on the Number Line

  3. Lesson 3

    Lesson 3: Compare Decimals

  4. Lesson 4Current

    Lesson 4: Add Fractions with Denominators of 10 and 100

  5. Lesson 5

    Lesson 5: Solve Word Problems Involving Money