# What is 4 7/20 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 4 7/20 to a decimal.

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

Often, convert 4 1/3 to a decimal or 4 4/11 to a decimal, depending on the task.

## Understanding the Fraction: 4 7/20

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 4 7/20: 4 is an integer, 7 is the numerator, and 20 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 4 by the denominator 20, and add the numerator 7: (4 × 20 + 7). To get the value of the fraction, the numerator of 87 is divided by the denominator of 20.

## Conversion formula (equation):

$4\frac{7}{20}=\frac{4 × 20 + 7}{20}=\frac{87}{20}=4.35$

## Solution:

$4\frac{7}{20}$ = 4.35

## 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 4 7/20, 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 4 by the denominator 20, and plus the numerator 7.
2. Step 2: Set up the division. Divide the numerator of 87 by the denominator of 20. This will look like the following: 87÷20.
3. Step 3: Divide. Perform the division. If using a calculator, simply divide 87 by 20. If doing it manually, apply division.
4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 87 is divided by 20, the decimal obtained is 4.35.