What is 5/26 plus 2/4? (Answer: 9/13)

Exact Answer

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Problem: What is 5/26 plus 2/4?
Formula / Expression: 5/26 + 2/4
Final Answer: 9/13
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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 5/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.
Working: 5 × 2/26 × 2 = 10/52 and 2 × 13/4 × 13 = 26/52

Step 3: Add the Numerators
Now add the numerators (10 + 26 = 36) and keep the common denominator 52 unchanged.
Working: 10 + 26/52 = 36/52

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 36 and 52, which is 4. Divide both the numerator and denominator by 4.
Working: 36 ÷ 4/52 ÷ 4 = 9/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 13 produces a repeating decimal (approximately 0.692308, or 69.2308%).
Working: 9 ÷ 13 = 0.692308 (69.2308%)

Key Values:
- Simplified Fraction: 9/13
- Mixed Number Form: 9/13
- Decimal Value: 0.692308
- Percentage: 69.2308%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-26-plus-2-4/
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5/26 + 2/4 = 9/13

Simplified Fraction

9/13

Mixed Number

Proper (9/13)

Decimal Value

0.692308

Percentage

69.2308%

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Step-by-Step Solution: 5/26 + 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 5/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.

5 × 2/26 × 2 = 10/52 and 2 × 13/4 × 13 = 26/52

Step 3

Add the Numerators

Now add the numerators (10 + 26 = 36) and keep the common denominator 52 unchanged.

10 + 26/52 = 36/52

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 36 and 52, which is 4. Divide both the numerator and denominator by 4.

36 ÷ 4/52 ÷ 4 = 9/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 13 produces a repeating decimal (approximately 0.692308, or 69.2308%).

9 ÷ 13 = 0.692308 (69.2308%)

Visual Representation

The diagram below illustrates 5/26 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/13`
Mixed Number Form	`9/13`
Decimal Form	`0.692308`
Percentage	`69.2308%`

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Frequently Asked Questions

What is 5/26 plus 2/4 as a fraction?

5/26 + 2/4 in simplest fraction form is 9/13.

What is 5/26 plus 2/4 as a decimal?

5/26 + 2/4 converted to a decimal is 0.692308.

What is 5/26 plus 2/4 as a percentage?

5/26 + 2/4 expressed as a percentage is 69.2308%.

Does 5/26 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.692308...) because the denominator contains prime factors other than 2 and 5.