Converters & Calculators
Fractions Conversion Tables
Introduction to Fraction Conversion
Fractions have fundamental importance in maths because they represent parts of a whole. Converting fractions into decimal numbers is a task required across various applications, from everyday calculations to advanced scientific computations. If one understands how to use a conversion table for fractions, the conversion process is simplified considerably.
The Importance of Fractions in Mathematics
Fractions play a crucial role in maths because they allow the representation of non-integer values. They are indispensable in areas such as algebra, geometry and calculus. Mastery of fractions and their conversion enhances problem-solving skills and overall mathematical competence.
Advantages of Using Conversion Tables
Conversion tables offer several advantages:
- Speed: They enable rapid identification of decimal equivalents without performing additional calculations.
- Accuracy: They reduce the risk of conversion errors.
- Convenience: They provide an easily accessible reference for both students and professionals.
Example of a Conversion Table for Fractions
The following example table converts fractions into decimal numbers to illustrate the conversion process:
Table: Fractions to Decimal Numbers
|
Fraction |
Decimal |
|
1/1 |
1.0000 |
|
1/2 |
0.5000 |
|
1/3 |
0.3333 |
|
1/4 |
0.2500 |
|
1/5 |
0.2000 |
|
1/6 |
0.1667 |
|
1/8 |
0.1250 |
|
1/10 |
0.1000 |
|
1/12 |
0.0833 |
|
1/16 |
0.0625 |
|
1/20 |
0.0500 |
|
1/25 |
0.0400 |
|
1/50 |
0.0200 |
|
1/100 |
0.0100 |
|
3/4 |
0.7500 |
|
2/3 |
0.6667 |
|
3/5 |
0.6000 |
|
5/8 |
0.6250 |
Table: Conversion of Fractions into Percentages
|
Fraction |
Percentage |
|
1/1 |
100% |
|
1/2 |
50% |
|
1/3 |
33.33% |
|
1/4 |
25% |
|
1/5 |
20% |
|
1/6 |
16.67% |
|
1/8 |
12.5% |
|
1/10 |
10% |
|
1/12 |
8.33% |
|
1/16 |
6.25% |
|
1/20 |
5% |
|
1/25 |
4% |
|
1/50 |
2% |
|
1/100 |
1% |
|
3/4 |
75% |
|
2/3 |
66.67% |
|
3/5 |
60% |
|
5/8 |
62.5% |
Below is a conversion table that converts inches into decimal millimetres (mm):
Conversion Table: Inches to Decimal Millimetres
|
Inch |
Decimal Millimetres (mm) |
|
1/16 |
1.5875 |
|
1/8 |
3.1750 |
|
3/16 |
4.7625 |
|
1/4 |
6.3500 |
|
5/16 |
7.9375 |
|
3/8 |
9.5250 |
|
7/16 |
11.1125 |
|
1/2 |
12.7000 |
|
9/16 |
14.2875 |
|
5/8 |
15.8750 |
|
11/16 |
17.4625 |
|
3/4 |
19.0500 |
|
13/16 |
20.6375 |
|
7/8 |
22.2250 |
|
15/16 |
23.8125 |
|
1 |
25.4000 |
Further information is available at Stanford Advanced Materials (SAM).
Frequently Asked Questions
What is the simplest method to convert a fraction into a decimal number?
Divide the numerator by the denominator using long division or a calculator.
Why are fractions important in everyday life?
Fractions are used in cooking, measurement, household planning and many other daily activities that require precise quantification.
Can all fractions be converted into finite decimal numbers?
No, some fractions yield repeating decimals; for example, 1/3 equals 0.333…
How can a table for converting fractions into decimal numbers assist students?
It provides a quick reference and aids in learning and memorising the decimal equivalents of common fractions.
Are there any other tools besides tables for converting fractions into decimal numbers?
Yes, calculators, online converters and mathematical software can perform these conversions efficiently.
Chin Trento
