Simplify 3/39

3/39 simplified is 1/13, after dividing the top and bottom by 3.

Result

Answer

\frac{3}{39} = \textcolor{#0b5c56}{\frac{1}{13}}

3/39 simplifies to 1/13.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.\overline{076923} (the 076923 repeats forever, about 0.0769)
  • Percent: 7.69%
3/391/13

Same amount, fewer parts

Step-by-step solution

The problem

\frac{3}{39}

  1. Find the greatest common factor. List the factors of each:
    Factors of 3: 1, 3
    Factors of 39: 1, 3, 13, 39
    The greatest common factor (GCF) is 3.

    \text{GCF}(3, 39) = 3

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

    = \frac{3 \div 3}{39 \div 3} = \textcolor{#0b5c56}{\frac{1}{13}}

All the working together

\begin{aligned} &\frac{3}{39} \\[8pt] &= \frac{3 \div 3}{39 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{13}}\end{aligned}

3/39 in other forms

Simplest form1/13
Greatest common factor3
Decimal0.076923… (the 076923 repeats forever)
Percent≈ 7.69%
Equal fractions2/26, 4/52, 5/65, 6/78

Fractions over 39 simplified

FractionSimplest formDecimal
1/39already simplest0.025641…
2/39already simplest0.051282…
3/391/130.076923…
4/39already simplest0.102564…
5/39already simplest0.128205…
6/392/130.153846…
7/39already simplest0.179487…
8/39already simplest0.205128…
9/393/130.230769…
10/39already simplest0.256410…
11/39already simplest0.282051…
12/394/130.307692…
13/391/30.333…
14/39already simplest0.358974…
15/395/130.384615…
16/39already simplest0.410256…
17/39already simplest0.435897…
18/396/130.461538…
19/39already simplest0.487179…
20/39already simplest0.512820…
21/397/130.538461…
22/39already simplest0.564102…
23/39already simplest0.589743…
24/398/130.615384…
25/39already simplest0.641025…
26/392/30.666…
27/399/130.692307…
28/39already simplest0.717948…
29/39already simplest0.743589…
30/3910/130.769230…
31/39already simplest0.794871…
32/39already simplest0.820512…
33/3911/130.846153…
34/39already simplest0.871794…
35/39already simplest0.897435…
36/3912/130.923076…
37/39already simplest0.948717…
38/39already simplest0.974358…

Frequently asked questions

What is 3/39 in simplest form?

3/39 simplifies to 1/13. Divide the top and bottom by 3, their greatest common factor: 3 ÷ 3 = 1 and 39 ÷ 3 = 13.

What is the greatest common factor of 3 and 39?

The GCF of 3 and 39 is 3 – the biggest number that divides both with nothing left over.

Is 3/39 equal to 1/13?

Yes. Both are 0.076923… (≈ 7.69%). 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.