Q:

What is 2/5 as a percentage?

A:

Quick Answer

Two-fifths is equivalent to 40 percent. Dividing the numerator, 2, by the denominator, 5, yields a decimal value of 0.40. Decimal values can be converted to percentages by multiplying by 100, which means that 0.40 is equal to 40 percent.

Continue Reading

Full Answer

There are many ways to convert a decimal into a fraction. While the easiest way is to convert the fraction into a decimal first, it usually requires a calculator. An alternative method is to multiply the fraction so that the denominator becomes 100. To do so, multiply the top and bottom by the same amount. In the case of 2 over 5, multiplying by 20 yields a new fraction of 40 over 100. Because a percentage is the part out of a whole, or 100 percent, the numerator of 40 of this new fraction is equal to the fraction as a percentage.

One final way of converting a fraction to a percentage is with simple algebra. Because the percentage is a part of 100, the fraction can be set to equal some number, x, over 100. In this case, 2 over 5 is equal to x over 100. The variable is isolated by multiplying 2 by 100, resulting in 200 over 5, or 40, which is equal to the percentage x.

Learn more about Fractions & Percentages
Sources:

Related Questions

Explore