2.16 as a mixed number

less than a minute read 24-02-2025

The decimal 2.16 represents a number between 2 and 3. To express this as a mixed number (a whole number and a fraction), we need to understand the place value of each digit. Let's break down the process:

Understanding Decimals and Fractions

Decimals and fractions both represent parts of a whole. The decimal 2.16 means 2 wholes and 16 hundredths. Remember, the place values to the right of the decimal point are tenths, hundredths, thousandths, and so on.

Step 1: Separate the Whole Number

The whole number part of 2.16 is simply 2. We'll keep this separate for now.

Step 2: Convert the Decimal Part to a Fraction

The decimal part is 0.16. This represents 16 hundredths, which can be written as the fraction 16/100.

Step 3: Simplify the Fraction

The fraction 16/100 can be simplified by finding the greatest common divisor (GCD) of 16 and 100. The GCD of 16 and 100 is 4. Divide both the numerator (16) and the denominator (100) by 4:

16 ÷ 4 = 4 100 ÷ 4 = 25

This simplifies the fraction to 4/25.

Step 4: Combine the Whole Number and the Fraction

Now, we combine the whole number from Step 1 (2) with the simplified fraction from Step 3 (4/25) to create the mixed number:

2 4/25

Therefore, 2.16 as a mixed number is 2 4/25.

Why is this important?

Understanding how to convert decimals to mixed numbers is a fundamental skill in mathematics. It’s crucial for various applications, including:

Problem Solving: Many word problems require working with fractions and decimals interchangeably.
Measurement: Converting between units often involves converting between decimals and fractions.
Further Mathematical Concepts: A solid grasp of this concept forms a foundation for more advanced mathematical topics.

Practice Problems

Try converting these decimals to mixed numbers:

3.25
1.75
5.08

Remember the steps: separate the whole number, convert the decimal to a fraction, simplify the fraction, and then combine them. With practice, you'll become proficient in this essential skill.