# What is 7 83/100 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 7 83/100 to a decimal.

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

Often, convert 7 4/5 to a decimal or 7 5/6 to a decimal, depending on the task.

## Understanding the Fraction: 7 83/100

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 7 83/100: 7 is an integer, 83 is the numerator, and 100 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 7 by the denominator 100, and add the numerator 83: (7 × 100 + 83). To get the value of the fraction, the numerator of 783 is divided by the denominator of 100.

## Conversion formula (equation):

$7\frac{83}{100}=\frac{7 × 100 + 83}{100}=\frac{783}{100}=7.83$

## Solution:

$7\frac{83}{100}$ = 7.83

## 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 7 83/100, 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 7 by the denominator 100, and plus the numerator 83.
2. Step 2: Set up the division. Divide the numerator of 783 by the denominator of 100. This will look like the following: 783÷100.
3. Step 3: Divide. Perform the division. If using a calculator, simply divide 783 by 100. If doing it manually, apply division.
4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 783 is divided by 100, the decimal obtained is 7.83.