Simplify 10/40

10/40 simplified is 1/4, after dividing the top and bottom by 10.

Result

Answer

\frac{10}{40} = \textcolor{#0b5c56}{\frac{1}{4}}

10/40 simplifies to 1/4.

  • Greatest common factor: 10
  • Decimal: \displaystyle 0.25
  • Percent: 25%
10/401/4

Same amount, fewer parts

Step-by-step solution

The problem

\frac{10}{40}

  1. Find the greatest common factor. List the factors of each:
    Factors of 10: 1, 2, 5, 10
    Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
    The greatest common factor (GCF) is 10.

    \text{GCF}(10, 40) = 10

  2. Divide the top and bottom by 10. Dividing both by the same number keeps the value the same.

    = \frac{10 \div 10}{40 \div 10} = \textcolor{#0b5c56}{\frac{1}{4}}

All the working together

\begin{aligned} &\frac{10}{40} \\[8pt] &= \frac{10 \div 10}{40 \div 10} && \textcolor{#5b6660}{\textsf{divide by 10}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{4}}\end{aligned}

10/40 in other forms

Simplest form1/4
Greatest common factor10
Decimal0.25
Percent25%
Equal fractions2/8, 3/12, 4/16, 5/20

Fractions over 40 simplified

FractionSimplest formDecimal
1/40already simplest0.025
2/401/200.05
3/40already simplest0.075
4/401/100.1
5/401/80.125
6/403/200.15
7/40already simplest0.175
8/401/50.2
9/40already simplest0.225
10/401/40.25
11/40already simplest0.275
12/403/100.3
13/40already simplest0.325
14/407/200.35
15/403/80.375
16/402/50.4
17/40already simplest0.425
18/409/200.45
19/40already simplest0.475
20/401/20.5
21/40already simplest0.525
22/4011/200.55
23/40already simplest0.575
24/403/50.6
25/405/80.625
26/4013/200.65
27/40already simplest0.675
28/407/100.7
29/40already simplest0.725
30/403/40.75
31/40already simplest0.775
32/404/50.8
33/40already simplest0.825
34/4017/200.85
35/407/80.875
36/409/100.9
37/40already simplest0.925
38/4019/200.95
39/40already simplest0.975

Frequently asked questions

What is 10/40 in simplest form?

10/40 simplifies to 1/4. Divide the top and bottom by 10, their greatest common factor: 10 ÷ 10 = 1 and 40 ÷ 10 = 4.

What is the greatest common factor of 10 and 40?

The GCF of 10 and 40 is 10 – the biggest number that divides both with nothing left over.

Is 10/40 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.