Simplify 21/35

21/35 simplified is 3/5, after dividing the top and bottom by 7.

Result

Answer

\frac{21}{35} = \textcolor{#0b5c56}{\frac{3}{5}}

21/35 simplifies to 3/5.

  • Greatest common factor: 7
  • Decimal: \displaystyle 0.6
  • Percent: 60%
21/353/5

Same amount, fewer parts

Step-by-step solution

The problem

\frac{21}{35}

  1. Find the greatest common factor. List the factors of each:
    Factors of 21: 1, 3, 7, 21
    Factors of 35: 1, 5, 7, 35
    The greatest common factor (GCF) is 7.

    \text{GCF}(21, 35) = 7

  2. Divide the top and bottom by 7. Dividing both by the same number keeps the value the same.

    = \frac{21 \div 7}{35 \div 7} = \textcolor{#0b5c56}{\frac{3}{5}}

All the working together

\begin{aligned} &\frac{21}{35} \\[8pt] &= \frac{21 \div 7}{35 \div 7} && \textcolor{#5b6660}{\textsf{divide by 7}} \\[8pt] &= \textcolor{#0b5c56}{\frac{3}{5}}\end{aligned}

21/35 in other forms

Simplest form3/5
Greatest common factor7
Decimal0.6
Percent60%
Equal fractions6/10, 9/15, 12/20, 15/25

Fractions over 35 simplified

FractionSimplest formDecimal
1/35already simplest0.0285714…
2/35already simplest0.0571428…
3/35already simplest0.0857142…
4/35already simplest0.1142857…
5/351/70.142857…
6/35already simplest0.1714285…
7/351/50.2
8/35already simplest0.2285714…
9/35already simplest0.2571428…
10/352/70.285714…
11/35already simplest0.3142857…
12/35already simplest0.3428571…
13/35already simplest0.3714285…
14/352/50.4
15/353/70.428571…
16/35already simplest0.4571428…
17/35already simplest0.4857142…
18/35already simplest0.5142857…
19/35already simplest0.5428571…
20/354/70.571428…
21/353/50.6
22/35already simplest0.6285714…
23/35already simplest0.6571428…
24/35already simplest0.6857142…
25/355/70.714285…
26/35already simplest0.7428571…
27/35already simplest0.7714285…
28/354/50.8
29/35already simplest0.8285714…
30/356/70.857142…
31/35already simplest0.8857142…
32/35already simplest0.9142857…
33/35already simplest0.9428571…
34/35already simplest0.9714285…

Frequently asked questions

What is 21/35 in simplest form?

21/35 simplifies to 3/5. Divide the top and bottom by 7, their greatest common factor: 21 ÷ 7 = 3 and 35 ÷ 7 = 5.

What is the greatest common factor of 21 and 35?

The GCF of 21 and 35 is 7 – the biggest number that divides both with nothing left over.

Is 21/35 equal to 3/5?

Yes. Both are 0.6 (60%). 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.