To convert a fraction to a percentage, we need to multiply the fraction by 100. In this case, we want to convert 3/5 to a percentage, so we need to multiply it by 100:
3/5 x 100 = 60%
Therefore, 3/5 as a percentage is 60%.
To understand this conversion better, it is helpful to know what a fraction and a percentage are. A fraction is a part of a whole, represented by two numbers separated by a line: the numerator (the top number) and the denominator (the bottom number). The numerator represents the number of parts we have, while the denominator represents the total number of parts in the whole.
A percentage, on the other hand, represents a portion of 100. For example, if we say that 60% of a group of students passed a test, we mean that 60 out of every 100 students passed the test.
To convert a fraction to a percentage, we need to find out how many parts out of 100 the fraction represents. In the case of 3/5, we can think of it as 3 out of 5 parts. To find out what percentage of 100 this represents, we can set up a proportion:
3/5 = x/100
To solve for x, we can cross-multiply:
5x = 300 x = 60
Therefore, 3/5 as a percentage is 60%.
It is important to note that fractions can be simplified before converting them to percentages. In this case, 3/5 is already in its simplest form, but if it were, for example, 6/10, we could simplify it by dividing both the numerator and the denominator by their greatest common factor, which is 2 in this case:
6/10 = 3/5
Then, we could convert 3/5 to a percentage as we did before:
3/5 x 100 = 60%
In conclusion, to convert 3/5 to a percentage, we need to multiply it by 100. This gives us 3/5 x 100 = 60%. Therefore, 3/5 as a percentage is 60%.
