What is 4/26 plus 8/13? (Answer: 10/13)

Exact Answer

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Problem: What is 4/26 plus 8/13?
Formula / Expression: 4/26 + 8/13
Final Answer: 10/13
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 26 is an exact multiple of 13 (13 × 2 = 26). The Least Common Denominator (LCD) is simply 26, meaning we only need to scale one fraction.
Working: LCD(26, 13) = 26

Step 2: Convert to Equivalent Fractions with Common Denominator 26
Multiply the numerator and denominator of 4/26 by 1, and multiply the numerator and denominator of 8/13 by 2 so both fractions share the common base 26.
Working: 4 × 1/26 × 1 = 4/26 and 8 × 2/13 × 2 = 16/26

Step 3: Add the Numerators
Now add the numerators (4 + 16 = 20) and keep the common denominator 26 unchanged.
Working: 4 + 16/26 = 20/26

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 20 and 26, which is 2. Divide both the numerator and denominator by 2.
Working: 20 ÷ 2/26 ÷ 2 = 10/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 10 by denominator 13 produces a repeating decimal (approximately 0.769231, or 76.9231%).
Working: 10 ÷ 13 = 0.769231 (76.9231%)

Key Values:
- Simplified Fraction: 10/13
- Mixed Number Form: 10/13
- Decimal Value: 0.769231
- Percentage: 76.9231%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-26-plus-8-13/
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4/26 + 8/13 = 10/13

Simplified Fraction

10/13

Mixed Number

Proper (10/13)

Decimal Value

0.769231

Percentage

76.9231%

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Step-by-Step Solution: 4/26 + 8/13

Step 1

Find the Least Common Denominator (LCD)

Notice that 26 is an exact multiple of 13 (13 × 2 = 26). The Least Common Denominator (LCD) is simply 26, meaning we only need to scale one fraction.

LCD(26, 13) = 26

Step 2

Convert to Equivalent Fractions with Common Denominator 26

Multiply the numerator and denominator of 4/26 by 1, and multiply the numerator and denominator of 8/13 by 2 so both fractions share the common base 26.

4 × 1/26 × 1 = 4/26 and 8 × 2/13 × 2 = 16/26

Step 3

Add the Numerators

Now add the numerators (4 + 16 = 20) and keep the common denominator 26 unchanged.

4 + 16/26 = 20/26

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 20 and 26, which is 2. Divide both the numerator and denominator by 2.

20 ÷ 2/26 ÷ 2 = 10/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 10 by denominator 13 produces a repeating decimal (approximately 0.769231, or 76.9231%).

10 ÷ 13 = 0.769231 (76.9231%)

Visual Representation

The diagram below illustrates 4/26 plus 8/13 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`10/13`
Mixed Number Form	`10/13`
Decimal Form	`0.769231`
Percentage	`76.9231%`

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Frequently Asked Questions

What is 4/26 plus 8/13 as a fraction?

4/26 + 8/13 in simplest fraction form is 10/13.

What is 4/26 plus 8/13 as a decimal?

4/26 + 8/13 converted to a decimal is 0.769231.

What is 4/26 plus 8/13 as a percentage?

4/26 + 8/13 expressed as a percentage is 76.9231%.

Does 4/26 plus 8/13 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.769231...) because the denominator contains prime factors other than 2 and 5.