What is 3 7/8 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 3 7/8 to a decimal.

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

Often, convert 77/20 to a decimal or 3 8/9 to a decimal, depending on the task.

Understanding the Fraction: 3 7/8

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 3 7/8: 3 is an integer, 7 is the numerator, and 8 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 3 by the denominator 8, and add the numerator 7: (3 × 8 + 7). To get the value of the fraction, the numerator of 31 is divided by the denominator of 8.

Conversion formula (equation):

378=3 × 8 + 78=318=3.875

Solution:

378 = 3.875

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 3 7/8, 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 3 by the denominator 8, and plus the numerator 7.
  2. Step 2: Set up the division. Divide the numerator of 31 by the denominator of 8. This will look like the following: 31÷8.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 31 by 8. If doing it manually, apply division.
  4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 31 is divided by 8, the decimal obtained is 3.875.