Simplify 3/12

3/12 simplified is 1/4, after dividing the top and bottom by 3.

Result

Answer

\frac{3}{12} = \textcolor{#0b5c56}{\frac{1}{4}}

3/12 simplifies to 1/4.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.25
  • Percent: 25%
3/121/4

Same amount, fewer parts

Step-by-step solution

The problem

\frac{3}{12}

  1. Find the greatest common factor. List the factors of each:
    Factors of 3: 1, 3
    Factors of 12: 1, 2, 3, 4, 6, 12
    The greatest common factor (GCF) is 3.

    \text{GCF}(3, 12) = 3

  2. Divide the top and bottom by 3. Dividing both by the same number keeps the value the same.

    = \frac{3 \div 3}{12 \div 3} = \textcolor{#0b5c56}{\frac{1}{4}}

All the working together

\begin{aligned} &\frac{3}{12} \\[8pt] &= \frac{3 \div 3}{12 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{4}}\end{aligned}

3/12 in other forms

Simplest form1/4
Greatest common factor3
Decimal0.25
Percent25%
Equal fractions2/8, 4/16, 5/20, 6/24

Fractions over 12 simplified

FractionSimplest formDecimal
1/12already simplest0.08333…
2/121/60.1666…
3/121/40.25
4/121/30.333…
5/12already simplest0.41666…
6/121/20.5
7/12already simplest0.58333…
8/122/30.666…
9/123/40.75
10/125/60.8333…
11/12already simplest0.91666…

Frequently asked questions

What is 3/12 in simplest form?

3/12 simplifies to 1/4. Divide the top and bottom by 3, their greatest common factor: 3 ÷ 3 = 1 and 12 ÷ 3 = 4.

What is the greatest common factor of 3 and 12?

The GCF of 3 and 12 is 3 – the biggest number that divides both with nothing left over.

Is 3/12 equal to 1/4?

Yes. Both are 0.25 (25%). Simplifying changes how the fraction is written, not its value.

More fractions to simplify

Any other fraction or mixed number: use the Simplify Fractions Calculator.