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Exact Answer
2/9 + 3/9 = 5/9
Simplified Fraction
5/9
Mixed Number
Proper (5/9)
Decimal Value
0.555556
Percentage
55.5556%

Step-by-Step Solution: 2/9 + 3/9

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (9). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 9.
2/9 + 3/9
Step 2

Add the Numerators

Now add the numerators (2 + 3 = 5) and keep the common denominator 9 unchanged.
2 + 3/9 = 5/9
Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 5 and 9 is 1, confirming that 5/9 cannot be reduced further—it is already in its simplest irreducible form.
5/9
Step 4

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 9 produces a repeating decimal (approximately 0.555556, or 55.5556%).
5 ÷ 9 = 0.555556 (55.5556%)

Visual Representation

The diagram below illustrates 2/9 plus 3/9 visually:

2/91/91/91/91/91/91/91/91/91/92 of 9 parts shadedValue: 0.2222 (22.2%)
+
3/91/91/91/91/91/91/91/91/91/93 of 9 parts shadedValue: 0.3333 (33.3%)
=
Result: 5/91/91/91/91/91/91/91/91/91/95 of 9 parts shadedValue: 0.5556 (55.6%)

Summary & Alternative Representations

Property / FormatValue
Lowest Terms Fraction5/9
Mixed Number Form5/9
Decimal Form0.555556
Percentage55.5556%

Frequently Asked Questions

What is 2/9 plus 3/9 as a fraction?

2/9 + 3/9 in simplest fraction form is 5/9.

What is 2/9 plus 3/9 as a decimal?

2/9 + 3/9 converted to a decimal is 0.555556.

What is 2/9 plus 3/9 as a percentage?

2/9 + 3/9 expressed as a percentage is 55.5556%.

Does 2/9 plus 3/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.555556...) because the denominator contains prime factors other than 2 and 5.