What is 7 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 7 3/4 to a decimal.

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

Often, convert 7 8/11 to a decimal or 7 7/9 to a decimal, depending on the task.

What is 7 3/4?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 7 3/4: 7 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 7 by the denominator 4, then add the numerator 3: (7 × 4 + 3). To find the value of the fraction, divide the numerator 31 by the denominator 4.

Conversion formula (equation):

$7 \frac{3}{4} = \frac{7 × 4 + 3}{4} = \frac{31}{4} = 7.75$

Solution:

$7 \frac{3}{4}$ = 7.75

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 7 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 7 by the denominator 4, and add the numerator 3.
Step 2: Set up the division. Divide the numerator 31 by the denominator 4. It will look like this: 31 ÷ 4.
Step 3: Perform the division. Use a calculator to divide 31 by 4, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 31 is divided by 4, you get 7.75.

What is 7 3/4 as a decimal?