Simplify 21/36

21/36 simplified is 7/12, after dividing the top and bottom by 3.

Result

Answer

\frac{21}{36} = \textcolor{#0b5c56}{\frac{7}{12}}

21/36 simplifies to 7/12.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.58\overline{3} (the 3 repeats forever, about 0.5833)
  • Percent: 58.33%
21/367/12

Same amount, fewer parts

Step-by-step solution

The problem

\frac{21}{36}

  1. Find the greatest common factor. List the factors of each:
    Factors of 21: 1, 3, 7, 21
    Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
    The greatest common factor (GCF) is 3.

    \text{GCF}(21, 36) = 3

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

    = \frac{21 \div 3}{36 \div 3} = \textcolor{#0b5c56}{\frac{7}{12}}

All the working together

\begin{aligned} &\frac{21}{36} \\[8pt] &= \frac{21 \div 3}{36 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{7}{12}}\end{aligned}

21/36 in other forms

Simplest form7/12
Greatest common factor3
Decimal0.58333… (the 3 repeats forever)
Percent≈ 58.33%
Equal fractions14/24, 28/48, 35/60, 42/72

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 21/36 in simplest form?

21/36 simplifies to 7/12. Divide the top and bottom by 3, their greatest common factor: 21 ÷ 3 = 7 and 36 ÷ 3 = 12.

What is the greatest common factor of 21 and 36?

The GCF of 21 and 36 is 3 – the biggest number that divides both with nothing left over.

Is 21/36 equal to 7/12?

Yes. Both are 0.58333… (≈ 58.33%). 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.