CCSS.Math.Content.5.NF.B.4.a

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

Understand a fraction 𝑎/𝑏 as a multiple of 1/𝑏.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Understand a fraction 𝑎/𝑏 with 𝑎 > 1 as a sum of fractions 1/𝑏.

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

Interpret the product (𝑎/𝑏) × 𝑞 as a parts of a partition of 𝑞 into 𝑏 equal parts; equivalently, as the result of a sequence of operations 𝑎 × 𝑞 ÷ 𝑏.

Interpret the product (𝘢/𝘣) × 𝘲 as a parts of a partition of 𝘲 into 𝘣 equal parts; equivalently, as the result of a sequence of operations 𝘢 × 𝘲 ÷ 𝘣.

Interpret the product (𝘢/𝘣) × 𝘲 as a parts of a partition of 𝘲 into 𝘣 equal parts; equivalently, as the result of a sequence of operations 𝘢 × 𝘲 ÷ 𝘣.

Interpret the product (𝑎/𝑏) × 𝑞 as a parts of a partition of 𝑞 into 𝑏 equal parts; equivalently, as the result of a sequence of operations 𝑎 × 𝑞 ÷ 𝑏.

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. (e.g., Use a visual fraction model to show (2/3) × 4 = 8/3 and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15.)