Simplify 27/30

27/30 simplified is 9/10, after dividing the top and bottom by 3.

Result

Answer

\frac{27}{30} = \textcolor{#0b5c56}{\frac{9}{10}}

27/30 simplifies to 9/10.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.9
  • Percent: 90%
27/309/10

Same amount, fewer parts

Step-by-step solution

The problem

\frac{27}{30}

  1. Find the greatest common factor. List the factors of each:
    Factors of 27: 1, 3, 9, 27
    Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
    The greatest common factor (GCF) is 3.

    \text{GCF}(27, 30) = 3

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

    = \frac{27 \div 3}{30 \div 3} = \textcolor{#0b5c56}{\frac{9}{10}}

All the working together

\begin{aligned} &\frac{27}{30} \\[8pt] &= \frac{27 \div 3}{30 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{9}{10}}\end{aligned}

27/30 in other forms

Simplest form9/10
Greatest common factor3
Decimal0.9
Percent90%
Equal fractions18/20, 36/40, 45/50, 54/60

Fractions over 30 simplified

FractionSimplest formDecimal
1/30already simplest0.0333…
2/301/150.0666…
3/301/100.1
4/302/150.1333…
5/301/60.1666…
6/301/50.2
7/30already simplest0.2333…
8/304/150.2666…
9/303/100.3
10/301/30.333…
11/30already simplest0.3666…
12/302/50.4
13/30already simplest0.4333…
14/307/150.4666…
15/301/20.5
16/308/150.5333…
17/30already simplest0.5666…
18/303/50.6
19/30already simplest0.6333…
20/302/30.666…
21/307/100.7
22/3011/150.7333…
23/30already simplest0.7666…
24/304/50.8
25/305/60.8333…
26/3013/150.8666…
27/309/100.9
28/3014/150.9333…
29/30already simplest0.9666…

Frequently asked questions

What is 27/30 in simplest form?

27/30 simplifies to 9/10. Divide the top and bottom by 3, their greatest common factor: 27 ÷ 3 = 9 and 30 ÷ 3 = 10.

What is the greatest common factor of 27 and 30?

The GCF of 27 and 30 is 3 – the biggest number that divides both with nothing left over.

Is 27/30 equal to 9/10?

Yes. Both are 0.9 (90%). 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.