What is 9/26 plus 2/4? (Answer: 11/13)

Exact Answer

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Problem: What is 9/26 plus 2/4?
Formula / Expression: 9/26 + 2/4
Final Answer: 11/13
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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 9/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.
Working: 9 × 2/26 × 2 = 18/52 and 2 × 13/4 × 13 = 26/52

Step 3: Add the Numerators
Now add the numerators (18 + 26 = 44) and keep the common denominator 52 unchanged.
Working: 18 + 26/52 = 44/52

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 44 and 52, which is 4. Divide both the numerator and denominator by 4.
Working: 44 ÷ 4/52 ÷ 4 = 11/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 13 produces a repeating decimal (approximately 0.846154, or 84.6154%).
Working: 11 ÷ 13 = 0.846154 (84.6154%)

Key Values:
- Simplified Fraction: 11/13
- Mixed Number Form: 11/13
- Decimal Value: 0.846154
- Percentage: 84.6154%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-26-plus-2-4/
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9/26 + 2/4 = 11/13

Simplified Fraction

11/13

Mixed Number

Proper (11/13)

Decimal Value

0.846154

Percentage

84.6154%

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Step-by-Step Solution: 9/26 + 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 9/26 by 2, and multiply the numerator and denominator of 2/4 by 13 so both fractions share the common base 52.

9 × 2/26 × 2 = 18/52 and 2 × 13/4 × 13 = 26/52

Step 3

Add the Numerators

Now add the numerators (18 + 26 = 44) and keep the common denominator 52 unchanged.

18 + 26/52 = 44/52

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 44 and 52, which is 4. Divide both the numerator and denominator by 4.

44 ÷ 4/52 ÷ 4 = 11/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 13 produces a repeating decimal (approximately 0.846154, or 84.6154%).

11 ÷ 13 = 0.846154 (84.6154%)

Visual Representation

The diagram below illustrates 9/26 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/13`
Mixed Number Form	`11/13`
Decimal Form	`0.846154`
Percentage	`84.6154%`

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Frequently Asked Questions

What is 9/26 plus 2/4 as a fraction?

9/26 + 2/4 in simplest fraction form is 11/13.

What is 9/26 plus 2/4 as a decimal?

9/26 + 2/4 converted to a decimal is 0.846154.

What is 9/26 plus 2/4 as a percentage?

9/26 + 2/4 expressed as a percentage is 84.6154%.

Does 9/26 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.846154...) because the denominator contains prime factors other than 2 and 5.