Explanation:
Every fraction with a denominator of 100 can be written in decimal notation and vice-versa. Let's break this down and understand why this is true.

Fractions:
A fraction represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up a whole.

Decimal Notation:
Decimal notation is a way of representing numbers using a decimal point and place values. The place values to the right of the decimal point represent fractions or parts of a whole.

Denominator 100:
When the denominator of a fraction is 100, it means that the whole is divided into 100 equal parts. Each part is represented by a place value in decimal notation.

Converting Fraction to Decimal:
To convert a fraction with a denominator of 100 to decimal notation, we divide the numerator by the denominator. For example, if we have the fraction 3/100, we divide 3 by 100:

3 ÷ 100 = 0.03

So, 3/100 in decimal notation is 0.03.

Converting Decimal to Fraction:
To convert a decimal to a fraction with a denominator of 100, we simply write the decimal as the numerator and 100 as the denominator. For example, if we have the decimal 0.45, we write it as a fraction:

0.45 = 45/100

So, 0.45 as a fraction with a denominator of 100 is 45/100.

Conclusion:
Every fraction with a denominator of 100 can be written in decimal notation by dividing the numerator by the denominator. Similarly, every decimal can be written as a fraction with a denominator of 100 by writing the decimal as the numerator and 100 as the denominator. Therefore, the correct answer is option 'A' - fraction.