Add and subtract fractions with different denominators by changing them into equivalent fractions with like denominators to find the sum or difference. Word problems involving fraction addition and subtraction can be solved using visual models, equations and mental estimation. Incorrect results can be identified through comparison with benchmark fractions.

Interpret fractions as a division of its numerator and denominator. Solve word problems involving division of whole numbers resulting in fractions or mixed numbers using models and equations. This principle also applies when dividing whole quantities among several recipients.

Fractions can be interpreted in terms of partitions of a whole; for instance (a/b) × q is interpreted as 'a' parts of a division of 'q' into 'b' equal parts. This can be applied in context scenarios.

The area of rectangles with fractional side lengths can be found using the multiplication of side lengths, which can also be used to verify the result.

The size of a product can be compared to one of the factors without performing actual multiplication. By extension, multiplying a number by a fraction larger than 1 results in a larger product, and vice-versa.

Multiplying fractions can be used in solving real-world problems using models or equations. Division of