Simplify 21/24

21/24 simplified is 7/8, after dividing the top and bottom by 3.

Result

Answer

\frac{21}{24} = \textcolor{#0b5c56}{\frac{7}{8}}

21/24 simplifies to 7/8.

  • Greatest common factor: 3
  • Decimal: \displaystyle 0.875
  • Percent: 87.5%
21/247/8

Same amount, fewer parts

Step-by-step solution

The problem

\frac{21}{24}

  1. Find the greatest common factor. List the factors of each:
    Factors of 21: 1, 3, 7, 21
    Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
    The greatest common factor (GCF) is 3.

    \text{GCF}(21, 24) = 3

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

    = \frac{21 \div 3}{24 \div 3} = \textcolor{#0b5c56}{\frac{7}{8}}

All the working together

\begin{aligned} &\frac{21}{24} \\[8pt] &= \frac{21 \div 3}{24 \div 3} && \textcolor{#5b6660}{\textsf{divide by 3}} \\[8pt] &= \textcolor{#0b5c56}{\frac{7}{8}}\end{aligned}

21/24 in other forms

Simplest form7/8
Greatest common factor3
Decimal0.875
Percent87.5%
Equal fractions14/16, 28/32, 35/40, 42/48

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 21/24 in simplest form?

21/24 simplifies to 7/8. Divide the top and bottom by 3, their greatest common factor: 21 ÷ 3 = 7 and 24 ÷ 3 = 8.

What is the greatest common factor of 21 and 24?

The GCF of 21 and 24 is 3 – the biggest number that divides both with nothing left over.

Is 21/24 equal to 7/8?

Yes. Both are 0.875 (87.5%). 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.