What is 5/29 plus 2/8? (Answer: 49/116)

Exact Answer

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Problem: What is 5/29 plus 2/8?
Formula / Expression: 5/29 + 2/8
Final Answer: 49/116
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 29 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 8 = 232.
Working: LCD(29, 8) = 232

Step 2: Convert to Equivalent Fractions with Common Denominator 232
Multiply the numerator and denominator of 5/29 by 8, and multiply the numerator and denominator of 2/8 by 29 so both fractions share the common base 232.
Working: 5 × 8/29 × 8 = 40/232 and 2 × 29/8 × 29 = 58/232

Step 3: Add the Numerators
Now add the numerators (40 + 58 = 98) and keep the common denominator 232 unchanged.
Working: 40 + 58/232 = 98/232

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 98 and 232, which is 2. Divide both the numerator and denominator by 2.
Working: 98 ÷ 2/232 ÷ 2 = 49/116

Step 5: Decimal & Percentage Representation
Dividing the numerator 49 by denominator 116 produces a repeating decimal (approximately 0.422414, or 42.2414%).
Working: 49 ÷ 116 = 0.422414 (42.2414%)

Key Values:
- Simplified Fraction: 49/116
- Mixed Number Form: 49/116
- Decimal Value: 0.422414
- Percentage: 42.2414%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-29-plus-2-8/
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5/29 + 2/8 = 49/116

Simplified Fraction

49/116

Mixed Number

Proper (49/116)

Decimal Value

0.422414

Percentage

42.2414%

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Step-by-Step Solution: 5/29 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 29 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 8 = 232.

LCD(29, 8) = 232

Step 2

Convert to Equivalent Fractions with Common Denominator 232

Multiply the numerator and denominator of 5/29 by 8, and multiply the numerator and denominator of 2/8 by 29 so both fractions share the common base 232.

5 × 8/29 × 8 = 40/232 and 2 × 29/8 × 29 = 58/232

Step 3

Add the Numerators

Now add the numerators (40 + 58 = 98) and keep the common denominator 232 unchanged.

40 + 58/232 = 98/232

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 98 and 232, which is 2. Divide both the numerator and denominator by 2.

98 ÷ 2/232 ÷ 2 = 49/116

Step 5

Decimal & Percentage Representation

Dividing the numerator 49 by denominator 116 produces a repeating decimal (approximately 0.422414, or 42.2414%).

49 ÷ 116 = 0.422414 (42.2414%)

Visual Representation

The diagram below illustrates 5/29 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`49/116`
Mixed Number Form	`49/116`
Decimal Form	`0.422414`
Percentage	`42.2414%`

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Frequently Asked Questions

What is 5/29 plus 2/8 as a fraction?

5/29 + 2/8 in simplest fraction form is 49/116.

What is 5/29 plus 2/8 as a decimal?

5/29 + 2/8 converted to a decimal is 0.422414.

What is 5/29 plus 2/8 as a percentage?

5/29 + 2/8 expressed as a percentage is 42.2414%.

Does 5/29 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.422414...) because the denominator contains prime factors other than 2 and 5.