4.NPV.8: Explain why a fraction 𝑎/𝑏 is equivalent to a fraction (𝑛∙𝑎)/(𝑛∙𝑏), using visual fraction models, generating equivalent fractions using the principle 𝑎/𝑏 = (𝑛∙𝑎)/(𝑛∙𝑏). Fractions include denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Explain why a fraction 𝑎/𝑏 is equivalent to a fraction (𝑛∙𝑎)/(𝑛∙𝑏), using visual fraction models, generating equivalent fractions using the principle 𝑎/𝑏 = (𝑛∙𝑎)/(𝑛∙𝑏). Fractions include denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Example Problems

Add:

6\frac{4}{9} + \frac{3}{5}

Add:

3\frac{5}{6} + \frac{1}{3}

Add:

4\frac{3}{7} + \frac{5}{6}

Khan Academy Resources

Visualizing equivalent fractions review Equivalent fractions Equivalent fractions (fraction models)Equivalent fractions (number lines)Equivalent fractions on number lines Equivalent fractions Comparing fractions of different wholes 1 More on equivalent fractions Equivalent fractions with models

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