What is the Difference Between Fraction and Decimal?

The main difference between fractions and decimals lies in their representation and the values they can represent. Here are the key differences:

• Representation: Fractions are written in the form of $$\frac{p}{q}$$, where $$p$$ and $$q$$ are whole numbers and $$q$$ is not equal to 0. Decimals, on the other hand, are written with a decimal point separating the whole number part from the fractional part, for example, 2.89.
• Values: Fractions represent a ratio between two numbers and usually depict finite values. For instance, 1/3 represents 1 out of 3 parts. Decimals can represent both finite and infinite values. For example, if you convert the fraction 1/3 to a decimal, you get 0.33333333, which goes on infinitely.
• Conversion: Fractions and decimals can be interchanged, meaning that any decimal can be converted into a fraction, and vice versa.

Both fractions and decimals are used to represent non-integer numbers, and each representation has its own advantages and common uses in various fields of mathematics and science. Fractions are often used when dealing with portions and divisions, such as time or shapes, while decimals are used when more precision is needed, such as in money or measurements.

Comparative Table: Fraction vs Decimal

Here is a table that highlights the differences between fractions and decimals:

Both fractions and decimals represent numbers, but they differ in their representation and conversion processes.