What is 5/29 plus 3/9? (Answer: 44/87)

Exact Answer

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Problem: What is 5/29 plus 3/9?
Formula / Expression: 5/29 + 3/9
Final Answer: 44/87
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Step-by-Step Solution:

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.
Working: LCD(29, 9) = 261

Step 2: Convert to Equivalent Fractions with Common Denominator 261
Multiply the numerator and denominator of 5/29 by 9, and multiply the numerator and denominator of 3/9 by 29 so both fractions share the common base 261.
Working: 5 × 9/29 × 9 = 45/261 and 3 × 29/9 × 29 = 87/261

Step 3: Add the Numerators
Now add the numerators (45 + 87 = 132) and keep the common denominator 261 unchanged.
Working: 45 + 87/261 = 132/261

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 132 and 261, which is 3. Divide both the numerator and denominator by 3.
Working: 132 ÷ 3/261 ÷ 3 = 44/87

Step 5: Decimal & Percentage Representation
Dividing the numerator 44 by denominator 87 produces a repeating decimal (approximately 0.505747, or 50.5747%).
Working: 44 ÷ 87 = 0.505747 (50.5747%)

Key Values:
- Simplified Fraction: 44/87
- Mixed Number Form: 44/87
- Decimal Value: 0.505747
- Percentage: 50.5747%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-29-plus-3-9/
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5/29 + 3/9 = 44/87

Simplified Fraction

44/87

Mixed Number

Proper (44/87)

Decimal Value

0.505747

Percentage

50.5747%

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Step-by-Step Solution: 5/29 + 3/9

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 5/29 by 9, and multiply the numerator and denominator of 3/9 by 29 so both fractions share the common base 261.

5 × 9/29 × 9 = 45/261 and 3 × 29/9 × 29 = 87/261

Step 3

Add the Numerators

Now add the numerators (45 + 87 = 132) and keep the common denominator 261 unchanged.

45 + 87/261 = 132/261

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 132 and 261, which is 3. Divide both the numerator and denominator by 3.

132 ÷ 3/261 ÷ 3 = 44/87

Step 5

Decimal & Percentage Representation

Dividing the numerator 44 by denominator 87 produces a repeating decimal (approximately 0.505747, or 50.5747%).

44 ÷ 87 = 0.505747 (50.5747%)

Visual Representation

The diagram below illustrates 5/29 plus 3/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`44/87`
Mixed Number Form	`44/87`
Decimal Form	`0.505747`
Percentage	`50.5747%`

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Frequently Asked Questions

What is 5/29 plus 3/9 as a fraction?

5/29 + 3/9 in simplest fraction form is 44/87.

What is 5/29 plus 3/9 as a decimal?

5/29 + 3/9 converted to a decimal is 0.505747.

What is 5/29 plus 3/9 as a percentage?

5/29 + 3/9 expressed as a percentage is 50.5747%.

Does 5/29 plus 3/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.505747...) because the denominator contains prime factors other than 2 and 5.