2.2 as a Fraction

Learn how to convert the decimal number 2.2 to a fraction. We'll show you the answer and walk through the conversion process step by step.

Answer:

2.2 = 2 1/5 or 11/5

2.2 as a fraction is 11/5 or 2 1/5 (mixed number)

How to Convert 2.2 to a Fraction

Follow these steps to convert 2.2 to a fraction:

Step 1

Write the decimal as a fraction over 1

Start by writing 2.2 as a fraction with 1 as the denominator:

2.2 = 2.2/1
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:

(2.2 × 10) / (1 × 10) = 22/10
Step 3

Simplify the fraction

Find the Greatest Common Divisor (GCD) of 22 and 10, which is 2. Divide both numerator and denominator by 2:

(22 ÷ 2) / (10 ÷ 2) = 11/5
Step 4

Convert to mixed number (optional)

Since 11/5 is an improper fraction (numerator is larger than denominator), we can convert it to a mixed number:

11 ÷ 5 = 2 remainder 1, so 11/5 = 2 1/5
Final Answer: 2.2 = 2 1/5 (mixed number) or 11/5 (improper fraction)

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