What is 4 1/5 as a decimal?

In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 4 1/5 to a decimal.

You can try other fractional values to get more familiar with the conversion guide.

Often, convert 4 3/16 to a decimal or 4 27/125 to a decimal, depending on the task.

What is 4 1/5?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 4 1/5: 4 is the whole number, 1 is the numerator, and 5 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 4 by the denominator 5, then add the numerator 1: (4 × 5 + 1). To find the value of the fraction, divide the numerator 21 by the denominator 5.

Conversion formula (equation):

415=4 × 5 + 15=215=4.2

Solution:

415 = 4.2

What is a fraction?

A fraction consists of two parts: the numerator on top and the denominator below. It shows parts of a whole and is used to compare values.

What is a decimal?

A decimal is a number system that includes a decimal point. This point separates the whole number from the fractional part. It is an easy way to express values less than one.

Conversion Steps:

To convert 4 1/5 to a decimal, follow these steps:

  1. Step 1: Convert to an improper fraction. Start by converting the mixed fraction to an improper fraction. Multiply the integer part 4 by the denominator 5, and add the numerator 1.
  2. Step 2: Set up the division. Divide the numerator 21 by the denominator 5. It will look like this: 21 ÷ 5.
  3. Step 3: Perform the division. Use a calculator to divide 21 by 5, or do it manually.
  4. Step 4: Identify the decimal. The result will be a decimal. When 21 is divided by 5, you get 4.2.