What is 8 1/4 as a decimal? Tutorial in mathshowcase.info

In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 8 1/4 to a decimal.

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

Often, convert 8 1/5 to a decimal or 25/3 to a decimal, depending on the task.

What is 8 1/4?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 8 1/4: 8 is the whole number, 1 is the numerator, and 4 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 8 by the denominator 4, then add the numerator 1: (8 × 4 + 1). To find the value of the fraction, divide the numerator 33 by the denominator 4.

Conversion formula (equation):

$8 \frac{1}{4} = \frac{8 × 4 + 1}{4} = \frac{33}{4} = 8.25$

Solution:

$8 \frac{1}{4}$ = 8.25

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 8 1/4 to a decimal, follow these steps:

Step 1: Convert to an improper fraction. Start by converting the mixed fraction to an improper fraction. Multiply the integer part 8 by the denominator 4, and add the numerator 1.
Step 2: Set up the division. Divide the numerator 33 by the denominator 4. It will look like this: 33 ÷ 4.
Step 3: Perform the division. Use a calculator to divide 33 by 4, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 33 is divided by 4, you get 8.25.

What is 8 1/4 as a decimal?