What is 2/9 plus 8/26? (Answer: 62/117)

Exact Answer

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Problem: What is 2/9 plus 8/26?
Formula / Expression: 2/9 + 8/26
Final Answer: 62/117
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 26 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 26 = 234.
Working: LCD(9, 26) = 234

Step 2: Convert to Equivalent Fractions with Common Denominator 234
Multiply the numerator and denominator of 2/9 by 26, and multiply the numerator and denominator of 8/26 by 9 so both fractions share the common base 234.
Working: 2 × 26/9 × 26 = 52/234 and 8 × 9/26 × 9 = 72/234

Step 3: Add the Numerators
Now add the numerators (52 + 72 = 124) and keep the common denominator 234 unchanged.
Working: 52 + 72/234 = 124/234

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 124 and 234, which is 2. Divide both the numerator and denominator by 2.
Working: 124 ÷ 2/234 ÷ 2 = 62/117

Step 5: Decimal & Percentage Representation
Dividing the numerator 62 by denominator 117 produces a repeating decimal (approximately 0.529915, or 52.9915%).
Working: 62 ÷ 117 = 0.529915 (52.9915%)

Key Values:
- Simplified Fraction: 62/117
- Mixed Number Form: 62/117
- Decimal Value: 0.529915
- Percentage: 52.9915%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-9-plus-8-26/
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2/9 + 8/26 = 62/117

Simplified Fraction

62/117

Mixed Number

Proper (62/117)

Decimal Value

0.529915

Percentage

52.9915%

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Step-by-Step Solution: 2/9 + 8/26

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 26 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 26 = 234.

LCD(9, 26) = 234

Step 2

Convert to Equivalent Fractions with Common Denominator 234

Multiply the numerator and denominator of 2/9 by 26, and multiply the numerator and denominator of 8/26 by 9 so both fractions share the common base 234.

2 × 26/9 × 26 = 52/234 and 8 × 9/26 × 9 = 72/234

Step 3

Add the Numerators

Now add the numerators (52 + 72 = 124) and keep the common denominator 234 unchanged.

52 + 72/234 = 124/234

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 124 and 234, which is 2. Divide both the numerator and denominator by 2.

124 ÷ 2/234 ÷ 2 = 62/117

Step 5

Decimal & Percentage Representation

Dividing the numerator 62 by denominator 117 produces a repeating decimal (approximately 0.529915, or 52.9915%).

62 ÷ 117 = 0.529915 (52.9915%)

Visual Representation

The diagram below illustrates 2/9 plus 8/26 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`62/117`
Mixed Number Form	`62/117`
Decimal Form	`0.529915`
Percentage	`52.9915%`

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Frequently Asked Questions

What is 2/9 plus 8/26 as a fraction?

2/9 + 8/26 in simplest fraction form is 62/117.

What is 2/9 plus 8/26 as a decimal?

2/9 + 8/26 converted to a decimal is 0.529915.

What is 2/9 plus 8/26 as a percentage?

2/9 + 8/26 expressed as a percentage is 52.9915%.

Does 2/9 plus 8/26 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.529915...) because the denominator contains prime factors other than 2 and 5.