All concepts combined

Mixed fractions practice asks your child to decide what a fraction describes before choosing a method. A question may concern another name for an amount, a calculation with equal parts, or a number of objects represented by a fraction. The MOE Primary 4 foundations are mixed numbers and improper fractions, fraction as part of a set, and addition and subtraction of fractions within the stated denominator limits.

• Distinguish an instruction to convert a fraction from a request to calculate a quantity or find an unknown whole.
• Keep each fraction connected to its whole, especially when a later action refers to the amount remaining after an earlier one.
• Use equivalent fractions to obtain equal-sized parts for addition, subtraction or a comparison, keeping the renamed values unchanged.
• Choose the direction of the equal-parts calculation: from a known whole to a part, or from a known part back to the whole.
• Read the requested answer form and units carefully, since a fraction, a mixed number and a count of objects describe different things.

For a mixed question that finds a part from a whole and then asks for the remainder, those two quantities must add back to the starting whole. Your child can check this in actual objects or amounts even when the working involved several equivalent fractions.

Every question in this mixed fraction set is Intermediate. The questions connect improper fractions with lengths and mixed-number answers, combine fractional uses to recover an original length, or move between a whole and a share of what remains. Ask your child to mark the stage described by each sentence before deciding which fraction calculation is needed. A result from the first stage must retain its meaning when carried into the next: it may be the whole collection, the amount remaining or just one group's share. If your child loses that connection, a member can review the solution film after making an attempt and explain the first useful result aloud. The free ribbon card shows written working from the original length through the cut to a mixed-number answer, giving a shorter calculation to review first.

What is a useful first question to ask my child during mixed fractions practice? Ask what the fraction is a fraction of. That identifies the whole and often determines the next step. Then ask whether the answer should name a fraction, a complete total or a number in one part. These decisions are more useful than supplying an operation immediately.

Does mixed fractions practice mean only calculations with mixed numbers? Here, mixed practice means a set combining different fraction skills. A mixed number is a specific way of writing whole units together with a fractional part. Your child may meet mixed numbers in the set, but other questions can use proper fractions, collections or unknown totals.

How do I choose a fraction subtopic to revisit? Look at the first line your child could not explain. Difficulty renaming parts points to unlike fractions; uncertainty about the whole points to fractions of sets or remainders. If the known amount is a part but your child treats it as the total, revisit recovering the whole before another combined question.