What is 12 3/8 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 12 3/8 to a decimal.

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

Often, convert 12 1/3 to a decimal or 12 2/5 to a decimal, depending on the task.

What is 12 3/8?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 12 3/8: 12 is the whole number, 3 is the numerator, and 8 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 12 by the denominator 8, then add the numerator 3: (12 × 8 + 3). To find the value of the fraction, divide the numerator 99 by the denominator 8.

Conversion formula (equation):

$12 \frac{3}{8} = \frac{12 × 8 + 3}{8} = \frac{99}{8} = 12.375$

Solution:

$12 \frac{3}{8}$ = 12.375

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 12 3/8 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 12 by the denominator 8, and add the numerator 3.
Step 2: Set up the division. Divide the numerator 99 by the denominator 8. It will look like this: 99 ÷ 8.
Step 3: Perform the division. Use a calculator to divide 99 by 8, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 99 is divided by 8, you get 12.375.

What is 12 3/8 as a decimal?