Standards with the same topic and subject but for other grades
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
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, e.g., by using visual fraction models or equations to represent the problem.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
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.
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence 𝑎/𝑏 = (𝑛 × 𝑎)/(𝑛 × 𝑏) to the effect of multiplying 𝑎/𝑏 by 1.
Interpret division of a whole number by a unit fraction, and compute such quotients.
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.