What is 2/26 plus 4/8? (Answer: 15/26)

Exact Answer

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Problem: What is 2/26 plus 4/8?
Formula / Expression: 2/26 + 4/8
Final Answer: 15/26
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 104 (which is smaller than their product 26 × 8 = 208, keeping the calculation simpler).
Working: LCD(26, 8) = 104

Step 2: Convert to Equivalent Fractions with Common Denominator 104
Multiply the numerator and denominator of 2/26 by 4, and multiply the numerator and denominator of 4/8 by 13 so both fractions share the common base 104.
Working: 2 × 4/26 × 4 = 8/104 and 4 × 13/8 × 13 = 52/104

Step 3: Add the Numerators
Now add the numerators (8 + 52 = 60) and keep the common denominator 104 unchanged.
Working: 8 + 52/104 = 60/104

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 60 and 104, which is 4. Divide both the numerator and denominator by 4.
Working: 60 ÷ 4/104 ÷ 4 = 15/26

Step 5: Decimal & Percentage Representation
Dividing the numerator 15 by denominator 26 produces a repeating decimal (approximately 0.576923, or 57.6923%).
Working: 15 ÷ 26 = 0.576923 (57.6923%)

Key Values:
- Simplified Fraction: 15/26
- Mixed Number Form: 15/26
- Decimal Value: 0.576923
- Percentage: 57.6923%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-26-plus-4-8/
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2/26 + 4/8 = 15/26

Simplified Fraction

15/26

Mixed Number

Proper (15/26)

Decimal Value

0.576923

Percentage

57.6923%

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Step-by-Step Solution: 2/26 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 104 (which is smaller than their product 26 × 8 = 208, keeping the calculation simpler).

LCD(26, 8) = 104

Step 2

Convert to Equivalent Fractions with Common Denominator 104

Multiply the numerator and denominator of 2/26 by 4, and multiply the numerator and denominator of 4/8 by 13 so both fractions share the common base 104.

2 × 4/26 × 4 = 8/104 and 4 × 13/8 × 13 = 52/104

Step 3

Add the Numerators

Now add the numerators (8 + 52 = 60) and keep the common denominator 104 unchanged.

8 + 52/104 = 60/104

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 60 and 104, which is 4. Divide both the numerator and denominator by 4.

60 ÷ 4/104 ÷ 4 = 15/26

Step 5

Decimal & Percentage Representation

Dividing the numerator 15 by denominator 26 produces a repeating decimal (approximately 0.576923, or 57.6923%).

15 ÷ 26 = 0.576923 (57.6923%)

Visual Representation

The diagram below illustrates 2/26 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/26`
Mixed Number Form	`15/26`
Decimal Form	`0.576923`
Percentage	`57.6923%`

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Frequently Asked Questions

What is 2/26 plus 4/8 as a fraction?

2/26 + 4/8 in simplest fraction form is 15/26.

What is 2/26 plus 4/8 as a decimal?

2/26 + 4/8 converted to a decimal is 0.576923.

What is 2/26 plus 4/8 as a percentage?

2/26 + 4/8 expressed as a percentage is 57.6923%.

Does 2/26 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.576923...) because the denominator contains prime factors other than 2 and 5.