Number and Operations–Fractions

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- Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

# Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

### Lessons for this standard

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

### Related standards

- This standard is part of: KY.5.NF
- This standard is derived from: CCSS.Math.Content.5.NF.B

#### More specific sub-standards

Apply and extend previous understanding of multiplication to multiply a fraction or whole number by a fraction.

Solve real world problems involving multiplication of fractions and mixed numbers.

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Interpret a fraction as division of the numerator by the denominator (𝑎/𝑏 = 𝑎 ÷ 𝑏). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers by using visual fraction models or equations to represent the problem.

Interpret multiplication as scaling (resizing), by:

#### Similar standards in other grades

Understand a multiple of 𝑎/𝑏 as a multiple of 1/𝑏 and use this understanding to multiply a fraction by a whole number.

Add and subtract mixed numbers with like denominators.

Decomposing a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions.

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

#### Similar standards elsewhere

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.