What is 9 29/40 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 9 29/40 to a decimal.

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

Often, convert 9 2/3 to a decimal or 9 3/4 to a decimal, depending on the task.

What is 9 29/40?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 9 29/40: 9 is the whole number, 29 is the numerator, and 40 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 9 by the denominator 40, then add the numerator 29: (9 × 40 + 29). To find the value of the fraction, divide the numerator 389 by the denominator 40.

Conversion formula (equation):

$9 \frac{29}{40} = \frac{9 × 40 + 29}{40} = \frac{389}{40} = 9.725$

Solution:

$9 \frac{29}{40}$ = 9.725

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 9 29/40 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 9 by the denominator 40, and add the numerator 29.
Step 2: Set up the division. Divide the numerator 389 by the denominator 40. It will look like this: 389 ÷ 40.
Step 3: Perform the division. Use a calculator to divide 389 by 40, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 389 is divided by 40, you get 9.725.

What is 9 29/40 as a decimal?