SEAGReady
NumberP6 level22 questions in the full course

Convert Fractions and DecimalsSEAG Practice Questions

Converting between fractions and decimals, including common equivalents (½ = 0.5, ¼ = 0.25).

Where your child meets this in real life: Converting between formats when calculating or comparing (e.g., test scores)

What your child needs to know

SEAGReady breaks convert fractions and decimals into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Common Equivalents

    Recognise and convert common fraction-decimal pairs (halves, quarters, fifths, tenths) using memorisation or simple division

  2. 2

    Fraction to Decimal

    Convert fractions to decimals of up to two decimal places by treating the fraction bar as a division operator

  3. 3

    Decimal to Fraction

    Convert terminating decimals to simplified fractions by identifying place value, creating an equivalent fraction, and simplifying if necessary

Try these SEAG-style questions

Three free sample questions from our convert fractions and decimals course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Aoife needs half a litre of milk. The strips show the same amount as 1/2 and 5/10. What decimal amount should she pour?

Two equal-length fraction strips show one half and the equivalent five tenths, without stating the decimal notation.
Answer choices for question 1
Question 2Confidence builder

Hannah scored 3 out of 4 in a quick-fire maths quiz. To find her score as a decimal, she needs to divide the numerator by the denominator. What is 3/4 as a decimal?

Answer choices for question 2
Question 3Confidence builder

Freya ran 0.25 of the way around the school running track. What fraction of the track is this?

Answer choices for question 3

Try the lesson: Common Equivalents

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

Amelia is baking scones and the recipe calls for half a cup of sugar. Her measuring cup only shows decimal markings.

What decimal should she measure to get exactly half a cup?

½ = ?

Recall the common pair
1

Half means 1 out of 2 equal parts

Step 1 of 3

Prefer to read? See every step written out

Amelia is baking scones and the recipe calls for half a cup of sugar. Her measuring cup only shows decimal markings.

What decimal should she measure to get exactly half a cup?

  1. 1

    Recall the common pair

    • Half means 1 out of 2 equal parts
    • This is one of the key pairs to memorise
  2. 2

    State the decimal equivalent

    • One half equals 0.5½ = 0.5

Amelia should measure 0.5 on her cup to get half.

The key insight: Memorise the key pairs: ½ = 0.5, ¼ = 0.25, ¾ = 0.75, ⅕ = 0.2!

Common mix-up: ½ = 0.2. The denominator 2 is not the decimal. Half means 5 tenths, which is 0.5.

Mistakes to watch for

These are the misconceptions we see most often in convert fractions and decimals, including the ones our practice questions are specifically designed to catch.

  • Writing ¼ as 0.4 instead of 0.25
  • Not recognising that division gives the decimal equivalent
  • Difficulty with fractions that don't terminate nicely (⅓)
22 questions on this topic alone

Master convert fractions and decimals 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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