What is 3/9 plus 4/9?
3/9 plus 4/9 equals 7/9 (or 0.777778 in decimal form). Learn the step-by-step solution to add 3/9 and 4/9 using Least Common Denominator and simplification.
Exact Answer
3/9 + 4/9 = 7/9
Simplified Fraction
7/9
Mixed Number
Proper (7/9)
Decimal Value
0.777778
Percentage
77.7778%
Step-by-Step Solution: 3/9 + 4/9
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.
3/9 + 4/9
Step 2
Add the Numerators
Now add the numerators (3 + 4 = 7) and keep the common denominator 9 unchanged.
3 + 4/9 = 7/9
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 9 is 1, confirming that 7/9 cannot be reduced further—it is already in its simplest irreducible form.
7/9
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 9 produces a repeating decimal (approximately 0.777778, or 77.7778%).
7 ÷ 9 = 0.777778 (77.7778%)
Visual Representation
The diagram below illustrates 3/9 plus 4/9 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/9 |
| Mixed Number Form | 7/9 |
| Decimal Form | 0.777778 |
| Percentage | 77.7778% |
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Frequently Asked Questions
What is 3/9 plus 4/9 as a fraction?
3/9 + 4/9 in simplest fraction form is 7/9.
What is 3/9 plus 4/9 as a decimal?
3/9 + 4/9 converted to a decimal is 0.777778.
What is 3/9 plus 4/9 as a percentage?
3/9 + 4/9 expressed as a percentage is 77.7778%.
Does 3/9 plus 4/9 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.777778...) because the denominator contains prime factors other than 2 and 5.