# What Percentage Is 2/5?

40 percent is equal to two fifths. The decimal value obtained by dividing the numerator, 2, by the denominator, 5, is 0.40. By multiplying decimal values by 100, one can convert them to percentages, therefore 0.40 is equivalent to 40%.

A decimal can be changed into a fraction in a variety of ways. The simplest method is to first convert the fraction to a decimal, however this normally necessitates the use of a calculator.

A different approach is to multiply the fraction by 100 to make the denominator 100. To do this, add the same number to the top and bottom. A new fraction of 40 over 100 is produced when multiplying 2 over 5 by 20.

The numerator of this new fraction, 40, is identical to the fraction as a percentage because a percentage is a component out of a whole, or 100 percent.

Simple algebra is the last method for turning a fraction to a percentage. The fraction can be made to equal a value, x, greater than 100 because the percentage is a portion of 100. 2 over 5 in this situation equates to x over 100. By multiplying 2 by 100, which yields 200 over 5, or 40, which is equal to the percentage x, the variable is isolated.

Misha Khatri
Misha Khatri is an emeritus professor in the University of Notre Dame's Department of Chemistry and Biochemistry. He graduated from Northern Illinois University with a BSc in Chemistry and Mathematics and a PhD in Physical Analytical Chemistry from the University of Utah.