Simplify 4/12

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

Result

Answer

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

4/12 simplifies to 1/3.

  • Greatest common factor: 4
  • Decimal: \displaystyle 0.\overline{3} (the 3 repeats forever, about 0.3333)
  • Percent: 33.33%
4/121/3

Same amount, fewer parts

Step-by-step solution

The problem

\frac{4}{12}

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

    \text{GCF}(4, 12) = 4

  2. Divide the top and bottom by 4. Dividing both by the same number keeps the value the same.

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

All the working together

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

4/12 in other forms

Simplest form1/3
Greatest common factor4
Decimal0.333… (the 3 repeats forever)
Percent≈ 33.33%
Equal fractions2/6, 3/9, 5/15, 6/18

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 4/12 in simplest form?

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

What is the greatest common factor of 4 and 12?

The GCF of 4 and 12 is 4 – the biggest number that divides both with nothing left over.

Is 4/12 equal to 1/3?

Yes. Both are 0.333… (≈ 33.33%). 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.