What is 75 1/8 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 75 1/8 to a decimal.

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

Often, convert 66 2/3 to a decimal or 80 9/20 to a decimal, depending on the task.

What is 75 1/8?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 75 1/8: 75 is the whole number, 1 is the numerator, and 8 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 75 by the denominator 8, then add the numerator 1: (75 × 8 + 1). To find the value of the fraction, divide the numerator 601 by the denominator 8.

Conversion formula (equation):

$75 \frac{1}{8} = \frac{75 × 8 + 1}{8} = \frac{601}{8} = 75.125$

Solution:

$75 \frac{1}{8}$ = 75.125

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 75 1/8 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 75 by the denominator 8, and add the numerator 1.
Step 2: Set up the division. Divide the numerator 601 by the denominator 8. It will look like this: 601 ÷ 8.
Step 3: Perform the division. Use a calculator to divide 601 by 8, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 601 is divided by 8, you get 75.125.

What is 75 1/8 as a decimal?