Activity 1: CONVERT ME!Convert The Following Fractions To Percent And Decimal Forms.1. { \frac 2}{5}$}$ - Percent Form - Decimal Form: 2. ${$2 \frac{1 {4}$}$ - Percent Form: - Decimal Form: 3.

Understanding the Basics of Fractions, Percent, and Decimal

Fractions, percent, and decimal are three different ways to represent a part of a whole. In this activity, we will learn how to convert fractions to percent and decimal forms. This is an essential skill in mathematics, as it helps us to compare and work with different types of numbers.

Converting Fractions to Percent Form

To convert a fraction to percent form, we need to divide the numerator by the denominator and multiply by 100. The formula for converting a fraction to percent is:

Percent = (Numerator ÷ Denominator) × 100

Let's apply this formula to the given fractions.

1. Converting $\frac{2}{5}$ to Percent and Decimal Forms

• Percent Form: To convert $\frac{2}{5}$ to percent form, we divide 2 by 5 and multiply by 100.
  • $\frac{2}{5}$ = 0.4
  • 0.4 × 100 = 40%
• Decimal Form: The decimal form of $\frac{2}{5}$ is 0.4.

2. Converting $2 \frac{1}{4}$ to Percent and Decimal Forms

First, we need to convert the mixed number $2 \frac{1}{4}$ to an improper fraction.

• $2 \frac{1}{4}$ = $\frac{9}{4}$
• Percent Form: To convert $\frac{9}{4}$ to percent form, we divide 9 by 4 and multiply by 100.
  • $\frac{9}{4}$ = 2.25
  • 2.25 × 100 = 225%
• Decimal Form: The decimal form of $\frac{9}{4}$ is 2.25.

Tips and Tricks for Converting Fractions to Percent and Decimal Forms

• When converting a fraction to percent form, make sure to divide the numerator by the denominator and multiply by 100.
• When converting a fraction to decimal form, simply divide the numerator by the denominator.
• To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator.

Practice Problems

1. Convert $\frac{3}{8}$ to percent and decimal forms.
2. Convert $1 \frac{1}{2}$ to percent and decimal forms.
3. Convert $\frac{5}{6}$ to percent and decimal forms.

Answer Key

1. Percent Form: 37.5% Decimal Form: 0.375
2. Percent Form: 150% Decimal Form: 1.5
3. Percent Form: 83.33% Decimal Form: 0.8333

Conclusion

Frequently Asked Questions

In this article, we will answer some frequently asked questions about converting fractions to percent and decimal forms.

Q: What is the formula for converting a fraction to percent form?

A: The formula for converting a fraction to percent form is:

Percent = (Numerator ÷ Denominator) × 100

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, to convert $2 \frac{1}{4}$ to an improper fraction, we multiply 2 by 4 and add 1:

$2 \frac{1}{4}$ = $\frac{2 \times 4 + 1}{4}$ = $\frac{9}{4}$

Q: What is the difference between percent and decimal form?

A: Percent form is a way of expressing a part of a whole as a percentage, while decimal form is a way of expressing a part of a whole as a decimal number. For example, 25% is equal to 0.25 in decimal form.

Q: Can I convert a fraction to percent form if the denominator is not 100?

A: Yes, you can convert a fraction to percent form even if the denominator is not 100. Simply divide the numerator by the denominator and multiply by 100. For example, to convert $\frac{3}{8}$ to percent form, we divide 3 by 8 and multiply by 100:

$\frac{3}{8}$ = 0.375 0.375 × 100 = 37.5%

Q: How do I convert a fraction to decimal form?

A: To convert a fraction to decimal form, simply divide the numerator by the denominator. For example, to convert $\frac{2}{5}$ to decimal form, we divide 2 by 5:

$\frac{2}{5}$ = 0.4

Q: Can I convert a decimal to a fraction?

A: Yes, you can convert a decimal to a fraction by dividing the decimal by 1 and expressing the result as a fraction. For example, to convert 0.4 to a fraction, we divide 0.4 by 1:

0.4 = $\frac{0.4}{1}$ = $\frac{4}{10}$ = $\frac{2}{5}$

Q: What are some common mistakes to avoid when converting fractions to percent and decimal forms?

A: Some common mistakes to avoid when converting fractions to percent and decimal forms include:

• Forgetting to divide the numerator by the denominator
• Forgetting to multiply by 100 when converting to percent form
• Not simplifying the fraction before converting to percent or decimal form
• Not checking the result for accuracy

Conclusion

Converting fractions to percent and decimal forms is an essential skill in mathematics. By following the formulas and tips provided in this article, you can easily convert fractions to percent and decimal forms. Remember to avoid common mistakes and practice the given problems to become more comfortable with this skill.