What is 2/29 plus 4/9?
2/29 plus 4/9 equals 134/261 (or 0.51341 in decimal form). Learn the step-by-step solution to add 2/29 and 4/9 using Least Common Denominator and simplification.
Exact Answer
2/29 + 4/9 = 134/261
Simplified Fraction
134/261
Mixed Number
Proper (134/261)
Decimal Value
0.51341
Percentage
51.341%
Step-by-Step Solution: 2/29 + 4/9
Step 1
Find the Least Common Denominator (LCD)
The denominators 29 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 9 = 261.
LCD(29, 9) = 261
Step 2
Convert to Equivalent Fractions with Common Denominator 261
Multiply the numerator and denominator of 2/29 by 9, and multiply the numerator and denominator of 4/9 by 29 so both fractions share the common base 261.
2 × 9/29 × 9 = 18/261 and 4 × 29/9 × 29 = 116/261
Step 3
Add the Numerators
Now add the numerators (18 + 116 = 134) and keep the common denominator 261 unchanged.
18 + 116/261 = 134/261
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 134 and 261 is 1, confirming that 134/261 cannot be reduced further—it is already in its simplest irreducible form.
134/261
Step 5
Decimal & Percentage Representation
Dividing the numerator 134 by denominator 261 produces a repeating decimal (approximately 0.51341, or 51.341%).
134 ÷ 261 = 0.51341 (51.341%)
Visual Representation
The diagram below illustrates 2/29 plus 4/9 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 134/261 |
| Mixed Number Form | 134/261 |
| Decimal Form | 0.51341 |
| Percentage | 51.341% |
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Frequently Asked Questions
What is 2/29 plus 4/9 as a fraction?
2/29 + 4/9 in simplest fraction form is 134/261.
What is 2/29 plus 4/9 as a decimal?
2/29 + 4/9 converted to a decimal is 0.51341.
What is 2/29 plus 4/9 as a percentage?
2/29 + 4/9 expressed as a percentage is 51.341%.
Does 2/29 plus 4/9 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.51341...) because the denominator contains prime factors other than 2 and 5.