What is 12 1/6 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 12 1/6 to a decimal.

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

Often, convert 12 1/8 to a decimal or 12 1/5 to a decimal, depending on the task.

What is 12 1/6?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 12 1/6: 12 is the whole number, 1 is the numerator, and 6 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 12 by the denominator 6, then add the numerator 1: (12 × 6 + 1). To find the value of the fraction, divide the numerator 73 by the denominator 6.

Conversion formula (equation):

$12 \frac{1}{6} = \frac{12 × 6 + 1}{6} = \frac{73}{6} = 12.167$

Solution:

$12 \frac{1}{6}$ = 12.167

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 12 1/6 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 12 by the denominator 6, and add the numerator 1.
Step 2: Set up the division. Divide the numerator 73 by the denominator 6. It will look like this: 73 ÷ 6.
Step 3: Perform the division. Use a calculator to divide 73 by 6, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 73 is divided by 6, you get 12.166666666667.

Rounding and Interpretation:

The decimal 12.166666666667 is recurring. We often round it to make it simpler, like 12.167. This rounded value is the decimal equivalent of the fraction 12 1/6.

What is 12 1/6 as a decimal?