What is 2/8 plus 8/29? (Answer: 61/116)

Exact Answer

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Problem: What is 2/8 plus 8/29?
Formula / Expression: 2/8 + 8/29
Final Answer: 61/116
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 232
Multiply the numerator and denominator of 2/8 by 29, and multiply the numerator and denominator of 8/29 by 8 so both fractions share the common base 232.
Working: 2 × 29/8 × 29 = 58/232 and 8 × 8/29 × 8 = 64/232

Step 3: Add the Numerators
Now add the numerators (58 + 64 = 122) and keep the common denominator 232 unchanged.
Working: 58 + 64/232 = 122/232

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 122 and 232, which is 2. Divide both the numerator and denominator by 2.
Working: 122 ÷ 2/232 ÷ 2 = 61/116

Step 5: Decimal & Percentage Representation
Dividing the numerator 61 by denominator 116 produces a repeating decimal (approximately 0.525862, or 52.5862%).
Working: 61 ÷ 116 = 0.525862 (52.5862%)

Key Values:
- Simplified Fraction: 61/116
- Mixed Number Form: 61/116
- Decimal Value: 0.525862
- Percentage: 52.5862%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-8-29/
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2/8 + 8/29 = 61/116

Simplified Fraction

61/116

Mixed Number

Proper (61/116)

Decimal Value

0.525862

Percentage

52.5862%

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

Step 1

Find the Least Common Denominator (LCD)

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

LCD(8, 29) = 232

Step 2

Convert to Equivalent Fractions with Common Denominator 232

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

2 × 29/8 × 29 = 58/232 and 8 × 8/29 × 8 = 64/232

Step 3

Add the Numerators

Now add the numerators (58 + 64 = 122) and keep the common denominator 232 unchanged.

58 + 64/232 = 122/232

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 122 and 232, which is 2. Divide both the numerator and denominator by 2.

122 ÷ 2/232 ÷ 2 = 61/116

Step 5

Decimal & Percentage Representation

Dividing the numerator 61 by denominator 116 produces a repeating decimal (approximately 0.525862, or 52.5862%).

61 ÷ 116 = 0.525862 (52.5862%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`61/116`
Mixed Number Form	`61/116`
Decimal Form	`0.525862`
Percentage	`52.5862%`

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Frequently Asked Questions

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

2/8 + 8/29 in simplest fraction form is 61/116.

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

2/8 + 8/29 converted to a decimal is 0.525862.

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

2/8 + 8/29 expressed as a percentage is 52.5862%.

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

It results in a repeating decimal (approximately 0.525862...) because the denominator contains prime factors other than 2 and 5.