What is 8 39/40 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 39/40 to a decimal.

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

Often, convert 8 15/16 to a decimal or 9/1 to a decimal, depending on the task.

What is 8 39/40?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 8 39/40: 8 is the whole number, 39 is the numerator, and 40 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 8 by the denominator 40, then add the numerator 39: (8 × 40 + 39). To find the value of the fraction, divide the numerator 359 by the denominator 40.

Conversion formula (equation):

$8 \frac{39}{40} = \frac{8 × 40 + 39}{40} = \frac{359}{40} = 8.975$

Solution:

$8 \frac{39}{40}$ = 8.975

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 39/40 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 40, and add the numerator 39.
Step 2: Set up the division. Divide the numerator 359 by the denominator 40. It will look like this: 359 ÷ 40.
Step 3: Perform the division. Use a calculator to divide 359 by 40, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 359 is divided by 40, you get 8.975.

What is 8 39/40 as a decimal?