mathshowcase.infoWhat is 6 1/6 as a decimal?
In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 6 1/6 to a decimal.
You can try other fractional values to get more familiar with the conversion guide.
Often, convert 6 3/20 to a decimal or 6 1/5 to a decimal, depending on the task.
What is 6 1/6?
A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 6 1/6: 6 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 6 by the denominator 6, then add the numerator 1: (6 × 6 + 1). To find the value of the fraction, divide the numerator 37 by the denominator 6.
Conversion formula (equation):
Solution:
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 6 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 6 by the denominator 6, and add the numerator 1.
- Step 2: Set up the division. Divide the numerator 37 by the denominator 6. It will look like this: 37 ÷ 6.
- Step 3: Perform the division. Use a calculator to divide 37 by 6, or do it manually.
- Step 4: Identify the decimal. The result will be a decimal. When 37 is divided by 6, you get 6.1666666666667.
Rounding and Interpretation:
The decimal 6.1666666666667 is recurring. We often round it to make it simpler, like 6.167. This rounded value is the decimal equivalent of the fraction 6 1/6.