Simplify 7/28

7/28 simplified is 1/4, after dividing the top and bottom by 7.

Result

Answer

\frac{7}{28} = \textcolor{#0b5c56}{\frac{1}{4}}

7/28 simplifies to 1/4.

  • Greatest common factor: 7
  • Decimal: \displaystyle 0.25
  • Percent: 25%
7/281/4

Same amount, fewer parts

Step-by-step solution

The problem

\frac{7}{28}

  1. Find the greatest common factor. List the factors of each:
    Factors of 7: 1, 7
    Factors of 28: 1, 2, 4, 7, 14, 28
    The greatest common factor (GCF) is 7.

    \text{GCF}(7, 28) = 7

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

    = \frac{7 \div 7}{28 \div 7} = \textcolor{#0b5c56}{\frac{1}{4}}

All the working together

\begin{aligned} &\frac{7}{28} \\[8pt] &= \frac{7 \div 7}{28 \div 7} && \textcolor{#5b6660}{\textsf{divide by 7}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{4}}\end{aligned}

7/28 in other forms

Simplest form1/4
Greatest common factor7
Decimal0.25
Percent25%
Equal fractions2/8, 3/12, 4/16, 5/20

Fractions over 28 simplified

FractionSimplest formDecimal
1/28already simplest0.03571428…
2/281/140.0714285…
3/28already simplest0.10714285…
4/281/70.142857…
5/28already simplest0.17857142…
6/283/140.2142857…
7/281/40.25
8/282/70.285714…
9/28already simplest0.32142857…
10/285/140.3571428…
11/28already simplest0.39285714…
12/283/70.428571…
13/28already simplest0.46428571…
14/281/20.5
15/28already simplest0.53571428…
16/284/70.571428…
17/28already simplest0.60714285…
18/289/140.6428571…
19/28already simplest0.67857142…
20/285/70.714285…
21/283/40.75
22/2811/140.7857142…
23/28already simplest0.82142857…
24/286/70.857142…
25/28already simplest0.89285714…
26/2813/140.9285714…
27/28already simplest0.96428571…

Frequently asked questions

What is 7/28 in simplest form?

7/28 simplifies to 1/4. Divide the top and bottom by 7, their greatest common factor: 7 ÷ 7 = 1 and 28 ÷ 7 = 4.

What is the greatest common factor of 7 and 28?

The GCF of 7 and 28 is 7 – the biggest number that divides both with nothing left over.

Is 7/28 equal to 1/4?

Yes. Both are 0.25 (25%). 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.