# What is 8/45 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 8/45 to a decimal.

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

Often, convert 3/17 to a decimal or 18/100 to a decimal, depending on the task.

## Understanding the Fraction: 8/45

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 8/45: 8 is the numerator, and 45 is the denominator. It signifies that 8 is divided by 45 to get the fraction's value.

## Solution:

$\frac{8}{45}$ = 0.178

## 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 8/45, follow these steps:

1. Step 1: Set up the division. Divide the numerator of 8 by the denominator of 45. This will look like the following: 8÷45.
2. Step 2: Divide. Perform the division. If using a calculator, simply divide 8 by 45. If doing it manually, apply division.
3. Step 3: Identify the decimal. The result of the division will be a decimal value. When 8 is divided by 45, the decimal obtained is 0.17777777777778.

### Rounding and Interpretation:

The decimal 0.17777777777778 is recurring. Often, we round it to a desired number of decimal places for simplicity, such as 0.178. This rounded value is the decimal equivalent of the fraction 8/45.