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}

Lesson overview

Expand to review the lesson summary and core properties.

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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}