What is 11 3/4 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 11 3/4 to a decimal.

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

Often, convert 11 2/3 to a decimal or 11 4/5 to a decimal, depending on the task.

What is 11 3/4?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 11 3/4: 11 is the whole number, 3 is the numerator, and 4 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 11 by the denominator 4, then add the numerator 3: (11 × 4 + 3). To find the value of the fraction, divide the numerator 47 by the denominator 4.

Conversion formula (equation):

$11 \frac{3}{4} = \frac{11 × 4 + 3}{4} = \frac{47}{4} = 11.75$

Solution:

$11 \frac{3}{4}$ = 11.75

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 11 3/4 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 11 by the denominator 4, and add the numerator 3.
Step 2: Set up the division. Divide the numerator 47 by the denominator 4. It will look like this: 47 ÷ 4.
Step 3: Perform the division. Use a calculator to divide 47 by 4, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 47 is divided by 4, you get 11.75.

What is 11 3/4 as a decimal?