Simplify 30/35

30/35 simplified is 6/7, after dividing the top and bottom by 5.

Result

Answer

\frac{30}{35} = \textcolor{#0b5c56}{\frac{6}{7}}

30/35 simplifies to 6/7.

  • Greatest common factor: 5
  • Decimal: \displaystyle 0.\overline{857142} (the 857142 repeats forever, about 0.8571)
  • Percent: 85.71%
30/356/7

Same amount, fewer parts

Step-by-step solution

The problem

\frac{30}{35}

  1. Find the greatest common factor. List the factors of each:
    Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
    Factors of 35: 1, 5, 7, 35
    The greatest common factor (GCF) is 5.

    \text{GCF}(30, 35) = 5

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

    = \frac{30 \div 5}{35 \div 5} = \textcolor{#0b5c56}{\frac{6}{7}}

All the working together

\begin{aligned} &\frac{30}{35} \\[8pt] &= \frac{30 \div 5}{35 \div 5} && \textcolor{#5b6660}{\textsf{divide by 5}} \\[8pt] &= \textcolor{#0b5c56}{\frac{6}{7}}\end{aligned}

30/35 in other forms

Simplest form6/7
Greatest common factor5
Decimal0.857142… (the 857142 repeats forever)
Percent≈ 85.71%
Equal fractions12/14, 18/21, 24/28, 36/42

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 30/35 in simplest form?

30/35 simplifies to 6/7. Divide the top and bottom by 5, their greatest common factor: 30 ÷ 5 = 6 and 35 ÷ 5 = 7.

What is the greatest common factor of 30 and 35?

The GCF of 30 and 35 is 5 – the biggest number that divides both with nothing left over.

Is 30/35 equal to 6/7?

Yes. Both are 0.857142… (≈ 85.71%). 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.