Fraction Simplifier – GCD Steps & Mixed Numbers

Simplifying rewrites a fraction in lowest terms while preserving its value. For 18/24, the factors show 18 = 6×3 and 24 = 6×4, so dividing both parts by the GCD 6 gives 3/4 — the calculator lists the common factors {1, 2, 3, 6} so you can see why 6 is the stopping point. It then extends the result: the decimal form (3/4 = 0.75), the mixed-number form for improper inputs (22/4 = 5 remainder 2 → 5½), and a run of equivalent fractions (3/4 = 6/8 = 9/12 = 12/16) that prove simplification changed nothing. Mixed conversion runs in reverse too — 5½ multiplies 5×4 + 2 = 22 over 4, then reduces when possible. This makes the tool a one-stop finisher for fraction homework: raw result in, lowest terms, mixed form and decimal out.

1. 1

   Enter your fraction

   Proper like 18/24 or improper like 22/4

2. 2

   Find the GCD

   Common factors are listed; the greatest one divides both parts

3. 3

   Simplify to lowest terms

   18/24 ÷ 6/6 = 3/4, shown with the division

4. 4

   Convert to mixed & decimal

   Improper results split into whole + remainder; decimals confirm equality

• 1

  Lowest terms means GCD(numerator, denominator) = 1

• 2

  Mixed conversion: divide, keep quotient and remainder — 22 ÷ 4 = 5 r 2 → 5½

• 3

  Equivalent fraction chains (3/4 = 9/12) verify simplification kept the value

• Stopping at a common factor like 2 and submitting 9/12 instead of 3/4

• Adding whole parts: 22/4 is 5½ not 5 + 2 = 7

• Flipping to "simplify" 4/18 by inverting — value must be preserved

• Forgetting mixed numbers can still reduce: 5 2/4 simplifies to 5½