Simplify 30/33

30/33 simplified is 10/11, after dividing the top and bottom by 3.

Result

Answer

\frac{30}{33} = \textcolor{#0b5c56}{\frac{10}{11}}

30/33 simplifies to 10/11.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.\overline{90} (the 90 repeats forever, about 0.9091)
  • Percent: 90.91%
30/3310/11

Same amount, fewer parts

Step-by-step solution

The problem

\frac{30}{33}

  1. Find the greatest common factor. List the factors of each:
    Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
    Factors of 33: 1, 3, 11, 33
    The greatest common factor (GCF) is 3.

    \text{GCF}(30, 33) = 3

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

    = \frac{30 \div 3}{33 \div 3} = \textcolor{#0b5c56}{\frac{10}{11}}

All the working together

\begin{aligned} &\frac{30}{33} \\[8pt] &= \frac{30 \div 3}{33 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{10}{11}}\end{aligned}

30/33 in other forms

Simplest form10/11
Greatest common factor3
Decimal0.9090… (the 90 repeats forever)
Percent≈ 90.91%
Equal fractions20/22, 40/44, 50/55, 60/66

Fractions over 33 simplified

FractionSimplest formDecimal
1/33already simplest0.0303…
2/33already simplest0.0606…
3/331/110.0909…
4/33already simplest0.1212…
5/33already simplest0.1515…
6/332/110.1818…
7/33already simplest0.2121…
8/33already simplest0.2424…
9/333/110.2727…
10/33already simplest0.3030…
11/331/30.333…
12/334/110.3636…
13/33already simplest0.3939…
14/33already simplest0.4242…
15/335/110.4545…
16/33already simplest0.4848…
17/33already simplest0.5151…
18/336/110.5454…
19/33already simplest0.5757…
20/33already simplest0.6060…
21/337/110.6363…
22/332/30.666…
23/33already simplest0.6969…
24/338/110.7272…
25/33already simplest0.7575…
26/33already simplest0.7878…
27/339/110.8181…
28/33already simplest0.8484…
29/33already simplest0.8787…
30/3310/110.9090…
31/33already simplest0.9393…
32/33already simplest0.9696…

Frequently asked questions

What is 30/33 in simplest form?

30/33 simplifies to 10/11. Divide the top and bottom by 3, their greatest common factor: 30 ÷ 3 = 10 and 33 ÷ 3 = 11.

What is the greatest common factor of 30 and 33?

The GCF of 30 and 33 is 3 – the biggest number that divides both with nothing left over.

Is 30/33 equal to 10/11?

Yes. Both are 0.9090… (≈ 90.91%). 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.