# What is 1/6 as a percent?

Converting fractions to percents is an essential skill. In the world of math, we often switch between fractions and percentages. Understanding 1/6 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 0.165 to a percent or 0.167 to a percent, depending on the task.

## Determining the scaling factor:

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

## Solution:

**1/6 = 16.666666666667%**

## 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 1/6 and how to convert it into its percentage equivalent.

### Method 1 – Fraction Scaling:

**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**$\frac{1}{6}$**, we're essentially talking about**1**'portions' out of an available**6**.**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.**Transformation Process:**To convert**$\frac{1}{6}$**into a percentage, we must scale 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**$\frac{100}{6}\mathrm{=\; 16.666666666667}$**. Following this logic, scale both the numerator and denominator by**16.666666666667:****$\frac{\mathrm{1\; \times \; 16.666666666667}}{\mathrm{6\; \times \; 16.666666666667}}\mathrm{=}\frac{16.666666666667}{100}$**.**Final Step:**Once scaled, the fraction denotes**16.666666666667**out of**100**, which is effectively**16.667%**.

### Method 2 – Using Decimals:

**Fraction to Decimal Transformation:**Begin by expressing**$\frac{1}{6}$**as a decimal. This step requires simple division: divide the numerator**(1)**by the denominator**(6)**, resulting in**0.16666666666667**.**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,**0.16666666666667**multiplied by**100**equals**16.667%**.**Wrapping Up:**Through the decimal pathway as well,**$\frac{1}{6}$**is synonymous with**16.667%**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.