4.5 as a Fraction

Learn how to convert the decimal number 4.5 to a fraction. We'll show you the answer and walk through the conversion process step by step.

Answer:

4.5 = 4 1/2 or 9/2

4.5 as a fraction is 9/2 or 4 1/2 (mixed number)

How to Convert 4.5 to a Fraction

Follow these steps to convert 4.5 to a fraction:

Step 1

Write the decimal as a fraction over 1

Start by writing 4.5 as a fraction with 1 as the denominator:

4.5 = 4.5/1
Step 2

Multiply to remove the decimal point

Since there are 1 digit(s) after the decimal point, multiply both numerator and denominator by 10:

(4.5 × 10) / (1 × 10) = 45/10
Step 3

Simplify the fraction

Find the Greatest Common Divisor (GCD) of 45 and 10, which is 5. Divide both numerator and denominator by 5:

(45 ÷ 5) / (10 ÷ 5) = 9/2
Step 4

Convert to mixed number (optional)

Since 9/2 is an improper fraction (numerator is larger than denominator), we can convert it to a mixed number:

9 ÷ 2 = 4 remainder 1, so 9/2 = 4 1/2
Final Answer: 4.5 = 4 1/2 (mixed number) or 9/2 (improper fraction)

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