# What is 8 21/40 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 21/40 to a decimal.

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

Often, convert 8 1/2 to a decimal or 8 6/11 to a decimal, depending on the task.

## Understanding the Fraction: 8 21/40

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 8 21/40: 8 is an integer, 21 is the numerator, and 40 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 8 by the denominator 40, and add the numerator 21: (8 × 40 + 21). To get the value of the fraction, the numerator of 341 is divided by the denominator of 40.

## Conversion formula (equation):

$8\frac{21}{40}=\frac{8 × 40 + 21}{40}=\frac{341}{40}=8.525$

## Solution:

$8\frac{21}{40}$ = 8.525

## 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 21/40, 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 8 by the denominator 40, and plus the numerator 21.
2. Step 2: Set up the division. Divide the numerator of 341 by the denominator of 40. This will look like the following: 341÷40.
3. Step 3: Divide. Perform the division. If using a calculator, simply divide 341 by 40. If doing it manually, apply division.
4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 341 is divided by 40, the decimal obtained is 8.525.