Simplify 33/36

33/36 simplified is 11/12, after dividing the top and bottom by 3.

Result

Answer

\frac{33}{36} = \textcolor{#0b5c56}{\frac{11}{12}}

33/36 simplifies to 11/12.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.91\overline{6} (the 6 repeats forever, about 0.9167)
  • Percent: 91.67%
33/3611/12

Same amount, fewer parts

Step-by-step solution

The problem

\frac{33}{36}

  1. Find the greatest common factor. List the factors of each:
    Factors of 33: 1, 3, 11, 33
    Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
    The greatest common factor (GCF) is 3.

    \text{GCF}(33, 36) = 3

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

    = \frac{33 \div 3}{36 \div 3} = \textcolor{#0b5c56}{\frac{11}{12}}

All the working together

\begin{aligned} &\frac{33}{36} \\[8pt] &= \frac{33 \div 3}{36 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{11}{12}}\end{aligned}

33/36 in other forms

Simplest form11/12
Greatest common factor3
Decimal0.91666… (the 6 repeats forever)
Percent≈ 91.67%
Equal fractions22/24, 44/48, 55/60, 66/72

Fractions over 36 simplified

FractionSimplest formDecimal
1/36already simplest0.02777…
2/361/180.0555…
3/361/120.08333…
4/361/90.111…
5/36already simplest0.13888…
6/361/60.1666…
7/36already simplest0.19444…
8/362/90.222…
9/361/40.25
10/365/180.2777…
11/36already simplest0.30555…
12/361/30.333…
13/36already simplest0.36111…
14/367/180.3888…
15/365/120.41666…
16/364/90.444…
17/36already simplest0.47222…
18/361/20.5
19/36already simplest0.52777…
20/365/90.555…
21/367/120.58333…
22/3611/180.6111…
23/36already simplest0.63888…
24/362/30.666…
25/36already simplest0.69444…
26/3613/180.7222…
27/363/40.75
28/367/90.777…
29/36already simplest0.80555…
30/365/60.8333…
31/36already simplest0.86111…
32/368/90.888…
33/3611/120.91666…
34/3617/180.9444…
35/36already simplest0.97222…

Frequently asked questions

What is 33/36 in simplest form?

33/36 simplifies to 11/12. Divide the top and bottom by 3, their greatest common factor: 33 ÷ 3 = 11 and 36 ÷ 3 = 12.

What is the greatest common factor of 33 and 36?

The GCF of 33 and 36 is 3 – the biggest number that divides both with nothing left over.

Is 33/36 equal to 11/12?

Yes. Both are 0.91666… (≈ 91.67%). 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.