# What is 4 7/100 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 4 7/100 to a decimal.

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

Often, convert 4 1/16 to a decimal or 4 1/10 to a decimal, depending on the task.

## Understanding the Fraction: 4 7/100

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 4 7/100: 4 is an integer, 7 is the numerator, and 100 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 4 by the denominator 100, and add the numerator 7: (4 × 100 + 7). To get the value of the fraction, the numerator of 407 is divided by the denominator of 100.

## Conversion formula (equation):

**$4\frac{7}{100}=\frac{\mathrm{4\; \times \; 100\; +\; 7}}{100}=\frac{407}{100}=4.07$**

## Solution:

**$4\frac{7}{100}$ = 4.07**

## 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 7/100, follow these steps:

**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**100**, and plus the numerator**7**.**Step 2: Set up the division.**Divide the numerator of**407**by the denominator of**100**. This will look like the following:**407÷100**.**Step 3: Divide.**Perform the division. If using a calculator, simply divide**407**by**100**. If doing it manually, apply division.**Step 4: Identify the decimal.**The result of the division will be a decimal value. When**407**is divided by**100**, the decimal obtained is**4.07**.