What is 33 1/3 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 33 1/3 to a decimal.

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

Often, convert 27 1/8 to a decimal or 37 1/2 to a decimal, depending on the task.

What is 33 1/3?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 33 1/3: 33 is the whole number, 1 is the numerator, and 3 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 33 by the denominator 3, then add the numerator 1: (33 × 3 + 1). To find the value of the fraction, divide the numerator 100 by the denominator 3.

Conversion formula (equation):

$33 \frac{1}{3} = \frac{33 × 3 + 1}{3} = \frac{100}{3} = 33.333$

Solution:

$33 \frac{1}{3}$ = 33.333

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 33 1/3 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 33 by the denominator 3, and add the numerator 1.
Step 2: Set up the division. Divide the numerator 100 by the denominator 3. It will look like this: 100 ÷ 3.
Step 3: Perform the division. Use a calculator to divide 100 by 3, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 100 is divided by 3, you get 33.333333333333.

Rounding and Interpretation:

The decimal 33.333333333333 is recurring. We often round it to make it simpler, like 33.333. This rounded value is the decimal equivalent of the fraction 33 1/3.

What is 33 1/3 as a decimal?