5 Easy Ways to Convert Mixed Numbers

Understanding Mixed Numbers

Mixed numbers are a combination of a whole number and a fraction. They are used to represent quantities that are not whole numbers. For example, 2 ¹⁄₃ is a mixed number that represents 2 whole units and ¹⁄₃ of another unit. Mixed numbers are commonly used in cooking, measurement, and other everyday applications.

Why Convert Mixed Numbers?

Converting mixed numbers to other forms can be useful in various situations. For example, converting a mixed number to an improper fraction can make it easier to perform arithmetic operations. Similarly, converting a mixed number to a decimal can make it easier to compare or order numbers.

5 Easy Ways to Convert Mixed Numbers

Here are 5 easy ways to convert mixed numbers to other forms:

1. Converting Mixed Numbers to Improper Fractions

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Then, write the result as an improper fraction.

For example, to convert 2 ¹⁄₃ to an improper fraction:

• Multiply 2 by 3: 2 × 3 = 6
• Add 1: 6 + 1 = 7
• Write the result as an improper fraction: ⁷⁄₃

🔍 Note: This method works for all mixed numbers.

2. Converting Mixed Numbers to Decimals

To convert a mixed number to a decimal, divide the numerator by the denominator and add the whole number.

For example, to convert 2 ¹⁄₃ to a decimal:

• Divide 1 by 3: 1 ÷ 3 = 0.33
• Add 2: 2 + 0.33 = 2.33

3. Converting Mixed Numbers to Percents

To convert a mixed number to a percent, convert it to a decimal first, then multiply by 100.

For example, to convert 2 ¹⁄₃ to a percent:

• Convert to decimal: 2.33 (from previous example)
• Multiply by 100: 2.33 × 100 = 233%

4. Converting Mixed Numbers to Ratios

To convert a mixed number to a ratio, convert it to an improper fraction first, then write it as a ratio.

For example, to convert 2 ¹⁄₃ to a ratio:

• Convert to improper fraction: ⁷⁄₃ (from previous example)
• Write as a ratio: 7:3

5. Converting Mixed Numbers to Word Form

To convert a mixed number to word form, write the whole number and fraction separately, then combine them.

For example, to convert 2 ¹⁄₃ to word form:

• Write the whole number: Two
• Write the fraction: One third
• Combine them: Two and one third

In conclusion, converting mixed numbers to other forms can be easy and useful in various situations. By using these 5 easy methods, you can convert mixed numbers to improper fractions, decimals, percents, ratios, and word form.