Simplify 5/35

5/35 simplified is 1/7, after dividing the top and bottom by 5.

Result

Answer

\frac{5}{35} = \textcolor{#0b5c56}{\frac{1}{7}}

5/35 simplifies to 1/7.

  • Greatest common factor: 5
  • Decimal: \displaystyle 0.\overline{142857} (the 142857 repeats forever, about 0.1429)
  • Percent: 14.29%
5/351/7

Same amount, fewer parts

Step-by-step solution

The problem

\frac{5}{35}

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

    \text{GCF}(5, 35) = 5

  2. Divide the top and bottom by 5. Dividing both by the same number keeps the value the same.

    = \frac{5 \div 5}{35 \div 5} = \textcolor{#0b5c56}{\frac{1}{7}}

All the working together

\begin{aligned} &\frac{5}{35} \\[8pt] &= \frac{5 \div 5}{35 \div 5} && \textcolor{#5b6660}{\textsf{divide by 5}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{7}}\end{aligned}

5/35 in other forms

Simplest form1/7
Greatest common factor5
Decimal0.142857… (the 142857 repeats forever)
Percent≈ 14.29%
Equal fractions2/14, 3/21, 4/28, 6/42

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 5/35 in simplest form?

5/35 simplifies to 1/7. Divide the top and bottom by 5, their greatest common factor: 5 ÷ 5 = 1 and 35 ÷ 5 = 7.

What is the greatest common factor of 5 and 35?

The GCF of 5 and 35 is 5 – the biggest number that divides both with nothing left over.

Is 5/35 equal to 1/7?

Yes. Both are 0.142857… (≈ 14.29%). 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.