What is 3 7/20 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 3 7/20 to a decimal.

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

Often, convert 3 15/44 to a decimal or 27/8 to a decimal, depending on the task.

What is 3 7/20?

A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number). In the fraction 3 7/20: 3 is the whole number, 7 is the numerator, and 20 is the denominator. First, convert the mixed fraction to an improper fraction. Multiply the whole number 3 by the denominator 20, then add the numerator 7: (3 × 20 + 7). To find the value of the fraction, divide the numerator 67 by the denominator 20.

Conversion formula (equation):

$3 \frac{7}{20} = \frac{3 × 20 + 7}{20} = \frac{67}{20} = 3.35$

Solution:

$3 \frac{7}{20}$ = 3.35

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 3 7/20 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 3 by the denominator 20, and add the numerator 7.
Step 2: Set up the division. Divide the numerator 67 by the denominator 20. It will look like this: 67 ÷ 20.
Step 3: Perform the division. Use a calculator to divide 67 by 20, or do it manually.
Step 4: Identify the decimal. The result will be a decimal. When 67 is divided by 20, you get 3.35.

What is 3 7/20 as a decimal?