# What is 13/20 as a percent?

Converting fractions to percents is an essential skill. In the world of math, we often switch between fractions and percentages. Understanding 13/20 as a percentage helps us understand these two realms. Let's dive deep into this conversion and the process.

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

Often, convert 11/17 to a percent or 23/35 to a percent, depending on the task.

## Determining the scaling factor:

$\frac{13}{20}=\frac{100}{20}= 100 ÷ 20 = 5$

## Applying a scaling factor to convert fractions to percentages:

$\frac{13 × 5}{20 × 5}=\frac{65}{100}= 0.65 × 100 = 65%$

13/20 = 65%

## 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:

The world of mathematics can often seem vast and complex. However, by understanding and mastering each concept, step by step, the complexity diminishes. One such concept is the conversion of fractions to percentages. In this guide, we’ll be focusing on the fraction 13/20 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 $\frac{13}{20}$, we're essentially talking about 13 'portions' out of an available 20.
2. The Essence 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 $\frac{50}{100}$ in fraction terms.
3. Transformation Process: To convert $\frac{13}{20}$ into a percentage, we must scale the fraction to have 100 as its denominator. Begin by determining the factor by which 20 can be multiplied to get 100. This factor is $\frac{100}{20}= 5$. Following this logic, scale both the numerator and denominator by 5:$\frac{13 × 5}{20 × 5}=\frac{65}{100}$.
4. Final Step: Once scaled, the fraction denotes 65 out of 100, which is effectively 65%.

### Method 2 – Using Decimals:

1. Fraction to Decimal Transformation: Begin by expressing $\frac{13}{20}$ as a decimal. This step requires simple division: divide the numerator (13) by the denominator (20), resulting in 0.65.
2. Decimal to Percentage Conversion: Now, transform this decimal into a percentage. Since a percentage is essentially a number out of 100, multiplying the decimal by 100 gives the result. So, 0.65 multiplied by 100 equals 65%.
3. Wrapping Up: Through the decimal pathway as well, $\frac{13}{20}$ is synonymous with 65% when expressed as a percentage.

Both methods, while distinct in approach, provide the same result. Your preference might stem from the specific scenario at hand or the tools available. You can choose to use either the direct fraction scaling method or the decimal conversion method. If you know both, you'll be ready for any math problem.