Final answer:
The fraction equivalent of 1 1/2% is 3/200, obtained by first converting the percentage to 1.5/100 and then simplifying to its lowest terms. Fraction is a number of part of a whole thing. It represents how many parts of a certain size is divided into a whole thing. A fraction consists of a numerator and a denominator: 1/2, where the number which is written above the line is called numerator
Step-by-step explanation:
To convert 1 1/2% to a fraction, we first write the percentage as a mixed number. Recall that percentages are fractions with a denominator of 100. Therefore, 1 1/2% is equal to 1.5/100 as a decimal. Simplifying this fraction, we divide both the numerator and denominator by 10, which gives us 15/1000. This can be simplified further by dividing both the numerator and the denominator by 5, resulting in the fraction 3/200.
To confirm our intuition, fractions like 1/2 are easy to visualize, while more complex percentages might need some calculation. This case is similar to understanding that one half of a whole is 1/2, leading us to see that 1 1/2% of a whole is a much smaller fraction—a mixed number that, when simplified, is 3/200.
In a simple word, the percentage actually means “out of a hundred”. The word is derived from Latin word – ‘per centum’, which means thoroughly a hundred. It is number that is being used to express a fraction of 100. It is denoted by a sign “%” called percentage. In this sense, 64% can be written in a fraction as 64/100.. Another example, in a school 80% of students are female, which means out of 100 students 80 are female.
Percent to fraction conversion is very simple using the formula provided in this page. As we already know, percent means “out of a hundred”. We need to first convert a percent into a decimal and then convert the decimal to fraction.