mathshowcase.infoWhat is 66 2/3 as a decimal?
In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 66 2/3 to a decimal.
You can try other fractional values to get more familiar with the conversion guide.
Often, convert 62 1/2 to a decimal or 75 1/8 to a decimal, depending on the task.
What is 66 2/3?
A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 66 2/3: 66 is the whole number, 2 is the numerator, and 3 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 66 by the denominator 3, then add the numerator 2: (66 × 3 + 2). To find the value of the fraction, divide the numerator 200 by the denominator 3.
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 66 2/3 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 66 by the denominator 3, and add the numerator 2.
- Step 2: Set up the division. Divide the numerator 200 by the denominator 3. It will look like this: 200 ÷ 3.
- Step 3: Perform the division. Use a calculator to divide 200 by 3, or do it manually.
- Step 4: Identify the decimal. The result will be a decimal. When 200 is divided by 3, you get 66.666666666667.
Rounding and Interpretation:
The decimal 66.666666666667 is recurring. We often round it to make it simpler, like 66.667. This rounded value is the decimal equivalent of the fraction 66 2/3.