NUMBAT OER - Open Educational Resources

4.3 Common fractions expressed as decimals

Several common fractions have exact and simple decimal equivalents, whilst others are either complicated or do not have exact decimal solutions. For instance:

1
3

has the decimal equivalent 0.3333333333...... This is denoted '0.3 recurring', and is written as 0.3.

1
25
1
20
1
18
1
16
1
15
2
12
1
9
1
8
1
7
1
6
0.040 0.050 0.05 0.0625 0.06 0.083 0.1 0.125 0.143 0.16
1
3
2
3
1
4
1
2
3
4
3
8
5
8
7
8
3
16
5
16
0.3 0.6 0.250 2.500 0.750 0.375 0.625 0.875 0.1875 0.3125
1
10
1
5
3
10
2
5
5
10
3
5
7
10
4
10
9
10
 
0.100 0.200 0.300 0.400 0.500 0.600 0.700 0.800 0.900  

All decimal values are shown to three decimal places (i.e. 0.NNN) except where there is an exact solution with four decimal places. The line above the decimal indicates a recurrent solution, and the single italicized value is an approximation rounded to three decimal places.