What is 87 24/25 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 87 24/25 to a decimal.

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

Often, convert 87 1/2 to a decimal or 98 1/10 to a decimal, depending on the task.

What is 87 24/25?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 87 24/25: 87 is the whole number, 24 is the numerator, and 25 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 87 by the denominator 25, then add the numerator 24: (87 × 25 + 24). To find the value of the fraction, divide the numerator 2199 by the denominator 25.

Conversion formula (equation):

$87 \frac{24}{25} = \frac{87 × 25 + 24}{25} = \frac{2199}{25} = 87.96$

Solution:

$87 \frac{24}{25}$ = 87.96

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 87 24/25 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 87 by the denominator 25, and add the numerator 24.
Step 2: Set up the division. Divide the numerator 2199 by the denominator 25. It will look like this: 2199 ÷ 25.
Step 3: Perform the division. Use a calculator to divide 2199 by 25, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 2199 is divided by 25, you get 87.96.

What is 87 24/25 as a decimal?