What is 8/26 plus 2/4? (Answer: 21/26)

Exact Answer

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Problem: What is 8/26 plus 2/4?
Formula / Expression: 8/26 + 2/4
Final Answer: 21/26
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 52 (which is smaller than their product 26 × 4 = 104, keeping the calculation simpler).
Working: LCD(26, 4) = 52

Step 2: Convert to Equivalent Fractions with Common Denominator 52
Multiply the numerator and denominator of 8/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.
Working: 8 × 2/26 × 2 = 16/52 and 2 × 13/4 × 13 = 26/52

Step 3: Add the Numerators
Now add the numerators (16 + 26 = 42) and keep the common denominator 52 unchanged.
Working: 16 + 26/52 = 42/52

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 52, which is 2. Divide both the numerator and denominator by 2.
Working: 42 ÷ 2/52 ÷ 2 = 21/26

Step 5: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 26 produces a repeating decimal (approximately 0.807692, or 80.7692%).
Working: 21 ÷ 26 = 0.807692 (80.7692%)

Key Values:
- Simplified Fraction: 21/26
- Mixed Number Form: 21/26
- Decimal Value: 0.807692
- Percentage: 80.7692%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-26-plus-2-4/
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8/26 + 2/4 = 21/26

Simplified Fraction

21/26

Mixed Number

Proper (21/26)

Decimal Value

0.807692

Percentage

80.7692%

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

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 52 (which is smaller than their product 26 × 4 = 104, keeping the calculation simpler).

LCD(26, 4) = 52

Step 2

Convert to Equivalent Fractions with Common Denominator 52

Multiply the numerator and denominator of 8/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.

8 × 2/26 × 2 = 16/52 and 2 × 13/4 × 13 = 26/52

Step 3

Add the Numerators

Now add the numerators (16 + 26 = 42) and keep the common denominator 52 unchanged.

16 + 26/52 = 42/52

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 42 and 52, which is 2. Divide both the numerator and denominator by 2.

42 ÷ 2/52 ÷ 2 = 21/26

Step 5

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 26 produces a repeating decimal (approximately 0.807692, or 80.7692%).

21 ÷ 26 = 0.807692 (80.7692%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/26`
Mixed Number Form	`21/26`
Decimal Form	`0.807692`
Percentage	`80.7692%`

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Frequently Asked Questions

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

8/26 + 2/4 in simplest fraction form is 21/26.

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

8/26 + 2/4 converted to a decimal is 0.807692.

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

8/26 + 2/4 expressed as a percentage is 80.7692%.

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

It results in a repeating decimal (approximately 0.807692...) because the denominator contains prime factors other than 2 and 5.