Simplify 4/24

4/24 simplified is 1/6, after dividing the top and bottom by 4.

Result

Answer

\frac{4}{24} = \textcolor{#0b5c56}{\frac{1}{6}}

4/24 simplifies to 1/6.

  • Greatest common factor: 4
  • Decimal: \displaystyle 0.1\overline{6} (the 6 repeats forever, about 0.1667)
  • Percent: 16.67%
4/241/6

Same amount, fewer parts

Step-by-step solution

The problem

\frac{4}{24}

  1. Find the greatest common factor. List the factors of each:
    Factors of 4: 1, 2, 4
    Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
    The greatest common factor (GCF) is 4.

    \text{GCF}(4, 24) = 4

  2. Divide the top and bottom by 4. Dividing both by the same number keeps the value the same.

    = \frac{4 \div 4}{24 \div 4} = \textcolor{#0b5c56}{\frac{1}{6}}

All the working together

\begin{aligned} &\frac{4}{24} \\[8pt] &= \frac{4 \div 4}{24 \div 4} && \textcolor{#5b6660}{\textsf{divide by 4}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{6}}\end{aligned}

4/24 in other forms

Simplest form1/6
Greatest common factor4
Decimal0.1666… (the 6 repeats forever)
Percent≈ 16.67%
Equal fractions2/12, 3/18, 5/30, 6/36

Fractions over 24 simplified

FractionSimplest formDecimal
1/24already simplest0.041666…
2/241/120.08333…
3/241/80.125
4/241/60.1666…
5/24already simplest0.208333…
6/241/40.25
7/24already simplest0.291666…
8/241/30.333…
9/243/80.375
10/245/120.41666…
11/24already simplest0.458333…
12/241/20.5
13/24already simplest0.541666…
14/247/120.58333…
15/245/80.625
16/242/30.666…
17/24already simplest0.708333…
18/243/40.75
19/24already simplest0.791666…
20/245/60.8333…
21/247/80.875
22/2411/120.91666…
23/24already simplest0.958333…

Frequently asked questions

What is 4/24 in simplest form?

4/24 simplifies to 1/6. Divide the top and bottom by 4, their greatest common factor: 4 ÷ 4 = 1 and 24 ÷ 4 = 6.

What is the greatest common factor of 4 and 24?

The GCF of 4 and 24 is 4 – the biggest number that divides both with nothing left over.

Is 4/24 equal to 1/6?

Yes. Both are 0.1666… (≈ 16.67%). 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.