# What is 7 1/8 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 1/8 to a decimal.

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

Often, convert 7 1/10 to a decimal or 7 1/6 to a decimal, depending on the task.

## Understanding the Fraction: 7 1/8

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 7 1/8: 7 is an integer, 1 is the numerator, and 8 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 7 by the denominator 8, and add the numerator 1: (7 × 8 + 1). To get the value of the fraction, the numerator of 57 is divided by the denominator of 8.

## Conversion formula (equation):

**$7\frac{1}{8}=\frac{\mathrm{7\; \times \; 8\; +\; 1}}{8}=\frac{57}{8}=7.125$**

## Solution:

**$7\frac{1}{8}$ = 7.125**

## 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 1/8, 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**7**by the denominator**8**, and plus the numerator**1**.**Step 2: Set up the division.**Divide the numerator of**57**by the denominator of**8**. This will look like the following:**57÷8**.**Step 3: Divide.**Perform the division. If using a calculator, simply divide**57**by**8**. If doing it manually, apply division.**Step 4: Identify the decimal.**The result of the division will be a decimal value. When**57**is divided by**8**, the decimal obtained is**7.125**.