What is 1 5/12 as a decimal?

In mathematics, converting fractions to decimals is a common task. Let's go through the process of converting the fraction 1 5/12 to a decimal.

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

Often, convert 7/5 to a decimal or 1 3/7 to a decimal, depending on the task.

What is 1 5/12?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 1 5/12: 1 is the whole number, 5 is the numerator, and 12 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 1 by the denominator 12, then add the numerator 5: (1 × 12 + 5). To find the value of the fraction, divide the numerator 17 by the denominator 12.

Conversion formula (equation):

1512=1 × 12 + 512=1712=1.417

Solution:

1512 = 1.417

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 1 5/12 to a decimal, follow these steps:

  1. Step 1: Convert to an improper fraction. Start by converting the mixed fraction to an improper fraction. Multiply the integer part 1 by the denominator 12, and add the numerator 5.
  2. Step 2: Set up the division. Divide the numerator 17 by the denominator 12. It will look like this: 17 ÷ 12.
  3. Step 3: Perform the division. Use a calculator to divide 17 by 12, or do it manually.
  4. Step 4: Identify the decimal. The result will be a decimal. When 17 is divided by 12, you get 1.4166666666667.

Rounding and Interpretation:

The decimal 1.4166666666667 is recurring. We often round it to make it simpler, like 1.417. This rounded value is the decimal equivalent of the fraction 1 5/12.