Simplify 10/30

10/30 simplified is 1/3, after dividing the top and bottom by 10.

Result

Answer

\frac{10}{30} = \textcolor{#0b5c56}{\frac{1}{3}}

10/30 simplifies to 1/3.

  • Greatest common factor: 10
  • Decimal: \displaystyle 0.\overline{3} (the 3 repeats forever, about 0.3333)
  • Percent: 33.33%
10/301/3

Same amount, fewer parts

Step-by-step solution

The problem

\frac{10}{30}

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

    \text{GCF}(10, 30) = 10

  2. Divide the top and bottom by 10. Dividing both by the same number keeps the value the same.

    = \frac{10 \div 10}{30 \div 10} = \textcolor{#0b5c56}{\frac{1}{3}}

All the working together

\begin{aligned} &\frac{10}{30} \\[8pt] &= \frac{10 \div 10}{30 \div 10} && \textcolor{#5b6660}{\textsf{divide by 10}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{3}}\end{aligned}

10/30 in other forms

Simplest form1/3
Greatest common factor10
Decimal0.333… (the 3 repeats forever)
Percent≈ 33.33%
Equal fractions2/6, 3/9, 4/12, 5/15

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 10/30 in simplest form?

10/30 simplifies to 1/3. Divide the top and bottom by 10, their greatest common factor: 10 ÷ 10 = 1 and 30 ÷ 10 = 3.

What is the greatest common factor of 10 and 30?

The GCF of 10 and 30 is 10 – the biggest number that divides both with nothing left over.

Is 10/30 equal to 1/3?

Yes. Both are 0.333… (≈ 33.33%). 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.