mathshowcase.infoWhat is 12 14/15 as a decimal?
In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 12 14/15 to a decimal.
You can try other fractional values to get more familiar with the conversion guide.
Often, convert 12 7/8 to a decimal or 13 1/8 to a decimal, depending on the task.
What is 12 14/15?
A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 12 14/15: 12 is the whole number, 14 is the numerator, and 15 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 12 by the denominator 15, then add the numerator 14: (12 × 15 + 14). To find the value of the fraction, divide the numerator 194 by the denominator 15.
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 12 14/15 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 15, and add the numerator 14.
- Step 2: Set up the division. Divide the numerator 194 by the denominator 15. It will look like this: 194 ÷ 15.
- Step 3: Perform the division. Use a calculator to divide 194 by 15, or do it manually.
- Step 4: Identify the decimal. The result will be a decimal. When 194 is divided by 15, you get 12.933333333333.
Rounding and Interpretation:
The decimal 12.933333333333 is recurring. We often round it to make it simpler, like 12.933. This rounded value is the decimal equivalent of the fraction 12 14/15.