Simplifying Fractions Practice

Practise reducing fractions to lowest terms — dividing top and bottom by their common factor. Type your answer as a fraction.

Grades 4–5 · 4.NF⚡ Fraction sense
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How to simplify a fraction

A fraction is in lowest terms when the top and bottom share no common factor other than 1. Simplifying means dividing both by their greatest common factor until that’s true — the value never changes, it just looks tidier.

  1. Find a number that divides both the numerator and denominator.
  2. Divide both by it.
  3. Repeat until the only common factor left is 1.

Type your simplified answer with the fraction-bar key.

Worked examples

Divide by the common factorSimplify 6/8 — both divide by 2: 6÷2 = 3, 8÷2 = 4. Answer: 3/4.
Bigger factorSimplify 9/12 — both divide by 3: 9÷3 = 3, 12÷3 = 4. Answer: 3/4.
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Tips & common mistakes

Using the greatest common factor gets there in one step; using a smaller factor just means simplifying more than once, which is fine too. This is where the divisibility rules pay off — they help you spot shared factors fast.

  • Stopping too early — 4/8 reduced by 2 is 2/4, which still simplifies to 1/2.
  • Dividing only the top or only the bottom.
  • Subtracting instead of dividing.

Frequently asked questions

What does simplifying a fraction mean?

Rewriting it in lowest terms by dividing the top and bottom by their common factor, without changing its value. 6/8 simplifies to 3/4.

What is lowest terms?

A fraction is in lowest terms when the numerator and denominator share no common factor other than 1.

What is the GCF?

The greatest common factor — the biggest number that divides both top and bottom. Dividing by it simplifies the fraction in a single step.

How do I type my answer?

Type the numerator, tap the fraction-bar key, then the denominator, e.g. 3 / 4.

How do divisibility rules help?

They let you quickly see whether 2, 3, 5 and others divide both numbers, so you can spot the common factor fast.

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