# What is 5/6 as a percent?

Converting fractions to a percentage can be very helpful. Let's go through the steps to change a decimal into a percentage.

Often, convert 83/100 to a percent or 0.84 to a percent, depending on the task.

## Determining the scaling factor:

$\frac{5}{6}=\frac{100}{6}= 100 ÷ 6 = 16.666666666667$

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

$\frac{5 × 16.666666666667}{6 × 16.666666666667}=\frac{83.333333333333}{100}= 0.83333333333333 × 100 = 83.333%$

## Solution:

5/6 = 83.333333333333%

## What is a fraction?

A fraction represents parts of a whole. It has a top number (numerator) and a bottom number (denominator). For example, 3/4 means three out of four equal parts.

## What is a percent?

A percent represents parts of a hundred. The symbol “%” shows proportions. 50% means half, and 200% means double the original value.

## For fractions:

In this guide, we’ll be focusing on the fraction 5/6 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 $\frac{5}{6}$, we're essentially talking about 5 'portions' out of an available 6.
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 $\frac{50}{100}$ in fraction terms.
3. Transformation Process: To convert $\frac{5}{6}$ into a percentage, we must multiply the fraction to have 100 as its denominator. Begin by determining the factor by which 6 can be multiplied to get 100. This factor is $\frac{100}{6}= 16.666666666667$. Following this logic, multiply both the numerator and denominator by 16.666666666667:$\frac{5 × 16.666666666667}{6 × 16.666666666667}=\frac{83.333333333333}{100}$.
4. Final Step: Once multiplied, the fraction denotes 83.333333333333 out of 100, which is equivalent 83.333%.

### Method 2 – Using Decimals:

1. Fraction to Decimal Transformation: Begin by expressing $\frac{5}{6}$ as a decimal. This step requires simple division: divide the numerator (5) by the denominator (6), resulting in 0.83333333333333.
2. Decimal to Percentage Conversion: Now, transform this decimal into a percentage. So, 0.83333333333333 multiplied by 100 equals 83.333%.
3. Wrapping Up: Through the decimal conversion method as well, $\frac{5}{6}$ is equivalent of 83.333% 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.