What is 98 1/10 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 98 1/10 to a decimal.

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

Often, convert 87 24/25 to a decimal or 98 2/3 to a decimal, depending on the task.

What is 98 1/10?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 98 1/10: 98 is the whole number, 1 is the numerator, and 10 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 98 by the denominator 10, then add the numerator 1: (98 × 10 + 1). To find the value of the fraction, divide the numerator 981 by the denominator 10.

Conversion formula (equation):

$98 \frac{1}{10} = \frac{98 × 10 + 1}{10} = \frac{981}{10} = 98.1$

Solution:

$98 \frac{1}{10}$ = 98.1

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 98 1/10 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 98 by the denominator 10, and add the numerator 1.
Step 2: Set up the division. Divide the numerator 981 by the denominator 10. It will look like this: 981 ÷ 10.
Step 3: Perform the division. Use a calculator to divide 981 by 10, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 981 is divided by 10, you get 98.1.

What is 98 1/10 as a decimal?