What is 2/26 plus 2/6? (Answer: 16/39)

Exact Answer

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Problem: What is 2/26 plus 2/6?
Formula / Expression: 2/26 + 2/6
Final Answer: 16/39
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 78 (which is smaller than their product 26 × 6 = 156, keeping the calculation simpler).
Working: LCD(26, 6) = 78

Step 2: Convert to Equivalent Fractions with Common Denominator 78
Multiply the numerator and denominator of 2/26 by 3, and multiply the numerator and denominator of 2/6 by 13 so both fractions share the common base 78.
Working: 2 × 3/26 × 3 = 6/78 and 2 × 13/6 × 13 = 26/78

Step 3: Add the Numerators
Now add the numerators (6 + 26 = 32) and keep the common denominator 78 unchanged.
Working: 6 + 26/78 = 32/78

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 32 and 78, which is 2. Divide both the numerator and denominator by 2.
Working: 32 ÷ 2/78 ÷ 2 = 16/39

Step 5: Decimal & Percentage Representation
Dividing the numerator 16 by denominator 39 produces a repeating decimal (approximately 0.410256, or 41.0256%).
Working: 16 ÷ 39 = 0.410256 (41.0256%)

Key Values:
- Simplified Fraction: 16/39
- Mixed Number Form: 16/39
- Decimal Value: 0.410256
- Percentage: 41.0256%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-26-plus-2-6/
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2/26 + 2/6 = 16/39

Simplified Fraction

16/39

Mixed Number

Proper (16/39)

Decimal Value

0.410256

Percentage

41.0256%

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Step-by-Step Solution: 2/26 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 78 (which is smaller than their product 26 × 6 = 156, keeping the calculation simpler).

LCD(26, 6) = 78

Step 2

Convert to Equivalent Fractions with Common Denominator 78

Multiply the numerator and denominator of 2/26 by 3, and multiply the numerator and denominator of 2/6 by 13 so both fractions share the common base 78.

2 × 3/26 × 3 = 6/78 and 2 × 13/6 × 13 = 26/78

Step 3

Add the Numerators

Now add the numerators (6 + 26 = 32) and keep the common denominator 78 unchanged.

6 + 26/78 = 32/78

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 32 and 78, which is 2. Divide both the numerator and denominator by 2.

32 ÷ 2/78 ÷ 2 = 16/39

Step 5

Decimal & Percentage Representation

Dividing the numerator 16 by denominator 39 produces a repeating decimal (approximately 0.410256, or 41.0256%).

16 ÷ 39 = 0.410256 (41.0256%)

Visual Representation

The diagram below illustrates 2/26 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`16/39`
Mixed Number Form	`16/39`
Decimal Form	`0.410256`
Percentage	`41.0256%`

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Frequently Asked Questions

What is 2/26 plus 2/6 as a fraction?

2/26 + 2/6 in simplest fraction form is 16/39.

What is 2/26 plus 2/6 as a decimal?

2/26 + 2/6 converted to a decimal is 0.410256.

What is 2/26 plus 2/6 as a percentage?

2/26 + 2/6 expressed as a percentage is 41.0256%.

Does 2/26 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.410256...) because the denominator contains prime factors other than 2 and 5.