#NumberAndAlgebra >[!info]- [Representing quantity fractions B | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-3/fa1618803c) MA3-RQF-01 compares and orders fractions with denominators of 2, 3, 4, 5, 6, 8 and 10 MA3-RQF-02 determines $\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{5}$  and $\frac{1}{10}$ of measures and quantities >[!abstract]- Prior Knowledge >- [[Representing Quantity Fractions A]] ## Recognise that a fraction can represent a division - Identify how the relationship between the number being divided and the divisor is represented in a fraction ## Compare common fractions with related denominators - Order common fractions with related denominators using diagrams and number lines - Subdivide the area of a rectangle by both length and width to represent the multiplicative relationship between common fractions - Compare and represent fractions with denominators of 2, 4 and 8; 3 and 6; 5 and 10 of a whole shape (area model) and a collection of objects (discrete model) - Create equivalent fractions for half in quarters, eighths, sixths and tenths by re-dividing the whole, using diagrams and number lines - Record equivalent fractions using diagrams, words and fraction notation ## Build up to the whole from a given fractional part - Generate the whole quantity from non-unit fractional parts such as quarters, eighths, thirds, sixths, fifths and tenths (Reversible reasoning) ## Use equivalence to add and subtract fractional quantities - Solve word problems involving adding or subtracting fractional quantities with related denominators - Represent fractional quantities with the same or related denominators to add and subtract fractions (Reasons about relations) ## Find fractional quantities of whole numbers (halves, quarters, fifths and tenths) - Calculate quarters and fifths of whole numbers that are multiples of the denominator, using a tape diagram - Solve word problems involving a fraction of a quantity - Find $\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{5}$ and $\frac{1}{10}$ of collections, expressing remainders as decimals