Converting between mixed numbers (e.g., 2¾) and improper fractions (e.g., 11/4), understanding when each form is appropriate.
Where your child meets this in real life: Expressing measurements like 1½ metres, recipe quantities, or time durations
SEAGReady breaks mixed numbers and improper fractions into 3 steps, taught in order so each skill builds on the last.
supporting lesson — excluded from official-format mocks
Identify improper fractions (where numerator ≥ denominator) and understand that they represent values ≥ 1 whole
supporting lesson — excluded from official-format mocks
Convert improper fractions to mixed numbers using division with remainders
supporting lesson — excluded from official-format mocks
Convert mixed numbers to improper fractions using: (whole × denominator) + numerator = new numerator
Three free sample questions from our mixed numbers and improper fractions course. Every question comes with a full explanation, and hints that guide without giving the answer away.
Lily is sorting fraction cards. She picks up the card showing 9/5. Is this an improper fraction?
Which mixed number is represented by the shaded bars?
Which improper fraction is represented by the shaded bars?
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Jessica is sorting fraction cards for a maths game. She needs to find which fractions are 'improper' (equal to or greater than 1 whole).
Is 7/4 an improper fraction? How many wholes and parts does it represent?
7/4 = ?
Look at the top number (7) and bottom number (4)
Step 1 of 4
Jessica is sorting fraction cards for a maths game. She needs to find which fractions are 'improper' (equal to or greater than 1 whole).
Is 7/4 an improper fraction? How many wholes and parts does it represent?
7/4 is an improper fraction. It equals 1 whole and 3/4.
The key insight: When the top number is bigger than the bottom, you have MORE than 1 whole!
Common mix-up: 7/4 is a proper fraction because 4 is smaller than 7. It's the other way round! When the numerator (top) is bigger, the fraction is improper.
These are the misconceptions we see most often in mixed numbers and improper fractions, including the ones our practice questions are specifically designed to catch.
Struggling with mixed numbers and improper fractions? The real gap is often in one of these earlier topics.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.
Free to start · no card needed