Converting fractions and decimals

Описание: *CORE CONCEPT*
Converting fractions and decimals involves changing a fraction into a decimal by division and a decimal into a fraction by expressing it over a power of 10.

*TOPICS COVERED*
When to use division to convert a fraction to a decimal.
How to use powers of 10 to convert a decimal to a fraction.
When to simplify fractions by finding the greatest common factor (GCF).
Level: B1

*EXAMPLE SENTENCES*
Example 1: 1/2 = 0.5 (Calculation: 1 ÷ 2 = 0.5)
Example 2: 3/5 = 0.6 (Calculation: 3 ÷ 5 = 0.6)
Example 3: 0.75 = 3/4 (Multiply 0.75 by 100 → 75/100, then divide both by 25 → 3/4)

*GRAMMAR RULES*
Step 1 → To convert a fraction to a decimal, divide the numerator by the denominator.
Step 2 → To convert a decimal to a fraction, write the decimal as a fraction over a power of 10.
Step 3 → Simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF).

*COMMON ERRORS*
Wrong: Converting 0.5 to 1/5 → Right: 0.5 correctly becomes 1/2. (Numerator 1, Denominator 2)
Wrong: Converting 3/4 to 0.3 → Right: 3/4 correctly becomes 0.75. (Calculation: 3 ÷ 4)
Wrong: Converting 1.25 to 1/4 → Right: 1.25 correctly becomes 5/4. (Multiply by 100 → 125/100)

*STUDENT QUESTIONS*
How do I convert a fraction to a decimal?
When to use division for fractions?
Is 0.75 equal to 3/4?
What's the difference between 1/2 and 0.5?
How do I simplify fractions?

*KEY CONCEPTS*
Converting fractions, converting decimals, fractions to decimals, decimals to fractions, B1 level, mathematical conversions.