What is 4/5 as a percent?

Converting fractions into a percentage may be useful in life. Let's walk through the process of converting decimal to a percentage.

You can select other values to familiarize yourself with the conversion guide.

Often, convert 19/24 to a percent or 17/21 to a percent, depending on the task.

Determining the scaling factor:

45=1005= 100 ÷ 5 = 20

Applying a scaling factor to convert fractions to percentages:

4 × 205 × 20=80100 = 0.8 × 100 = 80%

Solution:

4/5 = 80%

What is a fraction?

A fraction represents parts of a whole. Comprised of a numerator atop a denominator, it shows divisions of a total. For instance, 3/4 signifies three out of four equal segments.

What is a percent?

Percentages depict parts of a hundred. Symbolized by “%”, they convey proportions. 50% means half, while values can exceed, like 200%, indicating double the original.

For fractions:

In this guide, we’ll be focusing on the fraction 4/5 and how to convert it into its percentage equivalent.

Method 1 – Fraction Scaling:

  1. Understanding Fractions: At the heart of every fraction, there's a division taking place. The numerator denotes the 'portions' we're focused on. The denominator reveals the total possible 'portions'. So, when we say 45, we're essentially talking about 4 'portions' out of an available 5.
  2. Explanation of Percentage: The term “Percent” has Latin roots, where “cent” means a hundred. So, a percentage essentially portrays a fraction where the denominator is always 100. For illustration, when we state 50%, it translates to 50 out of 100 or 50100 in fraction terms.
  3. Transformation Process: To convert 45 into a percentage, we must multiply the fraction to have 100 as its denominator. Begin by determining the factor by which 5 can be multiplied to get 100. This factor is 1005 = 20. Following this logic, multiply both the numerator and denominator by 20:4 × 205 × 20 = 80100.
  4. Final Step: Once multiplied, the fraction denotes 80 out of 100, which is equivalent 80%.

Method 2 – Using Decimals:

  1. Fraction to Decimal Transformation: Begin by expressing 45 as a decimal. This step requires simple division: divide the numerator (4) by the denominator (5), resulting in 0.8.
  2. Decimal to Percentage Conversion: Now, transform this decimal into a percentage. So, 0.8 multiplied by 100 equals 80%.
  3. Wrapping Up: Through the decimal conversion method as well, 45 is equivalent of 80% when expressed as a percentage.

Both methods, while distinct in approach, provide the same result. You can choose to use either the direct fraction scaling method or the decimal conversion method.