What is 3/26 plus 2/4? (Answer: 8/13)

Exact Answer

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Problem: What is 3/26 plus 2/4?
Formula / Expression: 3/26 + 2/4
Final Answer: 8/13
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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 3/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.
Working: 3 × 2/26 × 2 = 6/52 and 2 × 13/4 × 13 = 26/52

Step 3: Add the Numerators
Now add the numerators (6 + 26 = 32) and keep the common denominator 52 unchanged.
Working: 6 + 26/52 = 32/52

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 32 and 52, which is 4. Divide both the numerator and denominator by 4.
Working: 32 ÷ 4/52 ÷ 4 = 8/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 8 by denominator 13 produces a repeating decimal (approximately 0.615385, or 61.5385%).
Working: 8 ÷ 13 = 0.615385 (61.5385%)

Key Values:
- Simplified Fraction: 8/13
- Mixed Number Form: 8/13
- Decimal Value: 0.615385
- Percentage: 61.5385%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-26-plus-2-4/
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3/26 + 2/4 = 8/13

Simplified Fraction

8/13

Mixed Number

Proper (8/13)

Decimal Value

0.615385

Percentage

61.5385%

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Step-by-Step Solution: 3/26 + 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 3/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.

3 × 2/26 × 2 = 6/52 and 2 × 13/4 × 13 = 26/52

Step 3

Add the Numerators

Now add the numerators (6 + 26 = 32) and keep the common denominator 52 unchanged.

6 + 26/52 = 32/52

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 32 and 52, which is 4. Divide both the numerator and denominator by 4.

32 ÷ 4/52 ÷ 4 = 8/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 8 by denominator 13 produces a repeating decimal (approximately 0.615385, or 61.5385%).

8 ÷ 13 = 0.615385 (61.5385%)

Visual Representation

The diagram below illustrates 3/26 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/13`
Mixed Number Form	`8/13`
Decimal Form	`0.615385`
Percentage	`61.5385%`

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Frequently Asked Questions

What is 3/26 plus 2/4 as a fraction?

3/26 + 2/4 in simplest fraction form is 8/13.

What is 3/26 plus 2/4 as a decimal?

3/26 + 2/4 converted to a decimal is 0.615385.

What is 3/26 plus 2/4 as a percentage?

3/26 + 2/4 expressed as a percentage is 61.5385%.

Does 3/26 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.615385...) because the denominator contains prime factors other than 2 and 5.