How do you simplify 12/16?

Find GCF(12,16) = 4. Divide both by 4: 12÷4 = 3, 16÷4 = 4. Simplified: 3/4.

Is 7/13 in simplest form?

Yes. 7 is prime and 13 is prime, and they share no common factors, so 7/13 is already in lowest terms.

How do you simplify a fraction quickly?

Divide both numbers by any common factor you can spot, then keep dividing until no common factor remains. Or use the GCF for a single step.

Simplifying Fractions — Reduce to Lowest Terms Step by Step

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1. What Does "Simplify" Mean?

A fraction is in its simplest form (or lowest terms) when the numerator and denominator share no common factor other than 1. 3/4 is in simplest form. 6/8 is not — both 6 and 8 share the factor 2.

2. Method 1: Divide by the GCF

The most efficient method is to find the GCF (Greatest Common Factor) of numerator and denominator, then divide both by it.

Example: Simplify 24/36

Find GCF(24, 36): Factors of 24 = {1, 2, 3, 4, 6, 8, 12, 24}. Factors of 36 = {1, 2, 3, 4, 6, 9, 12, 18, 36}. GCF = 12.
Divide both: 24÷12 = 2, 36÷12 = 3.
Result: 24/36 = 2/3

3. Method 2: Prime Factorization

For larger numbers, use prime factorization to find the GCF.

Simplify 84/126: 84 = 2² × 3 × 7. 126 = 2 × 3² × 7. GCF = 2 × 3 × 7 = 42. 84÷42 = 2, 126÷42 = 3. Answer: 2/3.

4. Simplifying Mixed Numbers

For mixed numbers like 2¾, only the fraction part is simplified. The whole number stays the same. For 4 12/18: simplify 12/18 → 2/3. Result: 4 2/3.