What is 10 2/5 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 10 2/5 to a decimal.

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

Often, convert 10 3/8 to a decimal or 10 1/2 to a decimal, depending on the task.

Understanding the Fraction: 10 2/5

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 10 2/5: 10 is an integer, 2 is the numerator, and 5 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 10 by the denominator 5, and add the numerator 2: (10 × 5 + 2). To get the value of the fraction, the numerator of 52 is divided by the denominator of 5.

Conversion formula (equation):

1025=10 × 5 + 25=525=10.4

Solution:

1025 = 10.4

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 10 2/5, 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 10 by the denominator 5, and plus the numerator 2.
  2. Step 2: Set up the division. Divide the numerator of 52 by the denominator of 5. This will look like the following: 52÷5.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 52 by 5. If doing it manually, apply division.
  4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 52 is divided by 5, the decimal obtained is 10.4.