# What is 1 1/7 as a decimal?

Converting fractions to decimals is an essential skill. It bridges the gap between two numeric representations. In this guide, we will detail the process of converting the fraction 1 1/7 to a decimal.

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

Often, convert 17/15 to a decimal or 23/20 to a decimal, depending on the task.

## Understanding the Fraction: 1 1/7

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 1 1/7: 1 is an integer, 1 is the numerator, and 7 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 1 by the denominator 7, and add the numerator 1: (1 × 7 + 1). To get the value of the fraction, the numerator of 8 is divided by the denominator of 7.

## Conversion formula (equation):

$1\frac{1}{7}=\frac{1 × 7 + 1}{7}=\frac{8}{7}=1.143$

## Solution:

$1\frac{1}{7}$ = 1.143

## What is a fraction?

A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.

## What is a decimal?

A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.

### Conversion Steps:

To get the decimal of 1 1/7, follow these steps:

1. Step 1: Representing an improper fraction. Let's start by converting a mixed fraction to an improper fraction. To achieve this, we multiply the integer 1 by the denominator 7, and plus the numerator 1.
2. Step 2: Set up the division. Divide the numerator of 8 by the denominator of 7. This will look like the following: 8÷7.
3. Step 3: Divide. Perform the division. If using a calculator, simply divide 8 by 7. If doing it manually, apply division.
4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 8 is divided by 7, the decimal obtained is 1.1428571428571.

### Rounding and Interpretation:

The decimal 1.1428571428571 is recurring. Often, we round it to a desired number of decimal places for simplicity, such as 1.143. This rounded value is the decimal equivalent of the fraction 1 1/7.