SEAGReady
NumberP7 level22 questions in the full course
Supporting practice: this topic helps build angle understanding, but it is not selected for official-format mocks.Adding unlike fractions is not named in the fractions outcome or sampled in current official papers, so it must not enter official-format selection.

Add Fractions (Different Denominators)SEAG Practice Questions

Adding fractions with different denominators by first finding a common denominator.

Where your child meets this in real life: Combining different fractional quantities (½ + ¼ cups of flour)

What your child needs to know

SEAGReady breaks add fractions (different denominators) into 3 steps, taught in order so each skill builds on the last.

  1. 1

    One Denominator is a Multiple

    excluded lesson — excluded from official-format mocks

    Add fractions where one denominator is a multiple of the other (e.g., 1/2 + 1/4)

  2. 2

    General Different Denominators

    excluded lesson — excluded from official-format mocks

    Add fractions where neither denominator is a multiple of the other by finding a common denominator (e.g., 2/3 + 1/4)

  3. 3

    Simplifying and Mixed Numbers

    excluded lesson — excluded from official-format mocks

    Add fractions and simplify results or convert improper fractions to mixed numbers (e.g., 2/3 + 3/4 = 1 5/12)

Try these SEAG-style questions

Three free sample questions from our add fractions (different denominators) course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Try the lesson: One Denominator is a Multiple

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Ruby is making orange squash. She uses ½ of a jug of water and then adds another ¼ of a jug.

How much water did she use altogether?

½ + ¼

Spot the relationship between denominators
1

The denominators are 2 and 4

Step 1 of 5

Prefer to read? See every step written out

Ruby is making orange squash. She uses ½ of a jug of water and then adds another ¼ of a jug.

How much water did she use altogether?

  1. 1

    Spot the relationship between denominators

    • The denominators are 2 and 4
    • 4 is a multiple of 2, so use 4 as the common denominator
  2. 2

    Convert to the same denominator

    • Convert ½ to quarters½ = ²⁄₄
    • ¼ stays as ¼
  3. 3

    Add the fractions

    • Add numerators, keep denominator²⁄₄ + ¹⁄₄ = ³⁄₄

Ruby used ¾ of a jug of water altogether.

The key insight: When one denominator divides into the other, you only need to convert one fraction!

Common mix-up: ½ + ¼ = ²⁄₆. Adding numerators AND denominators separately doesn't work - the pieces are different sizes.

Mistakes to watch for

These are the misconceptions we see most often in add fractions (different denominators), including the ones our practice questions are specifically designed to catch.

  • Adding fractions without finding common denominator
  • Finding a common denominator but forgetting to adjust numerators
  • Using a common multiple that's not the LCM (making calculation harder)

Build these skills first

Struggling with add fractions (different denominators)? The real gap is often in one of these earlier topics.

More number practice

22 questions on this topic alone

Master add fractions (different denominators) and everything it unlocks

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.

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