What is 2/13 plus 3/13? (Answer: 5/13)

Exact Answer

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Problem: What is 2/13 plus 3/13?
Formula / Expression: 2/13 + 3/13
Final Answer: 5/13
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (13). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 13.
Working: 2/13 + 3/13

Step 2: Add the Numerators
Now add the numerators (2 + 3 = 5) and keep the common denominator 13 unchanged.
Working: 2 + 3/13 = 5/13

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 5 and 13 is 1, confirming that 5/13 cannot be reduced further—it is already in its simplest irreducible form.
Working: 5/13

Step 4: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 13 produces a repeating decimal (approximately 0.384615, or 38.4615%).
Working: 5 ÷ 13 = 0.384615 (38.4615%)

Key Values:
- Simplified Fraction: 5/13
- Mixed Number Form: 5/13
- Decimal Value: 0.384615
- Percentage: 38.4615%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-13-plus-3-13/
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2/13 + 3/13 = 5/13

Simplified Fraction

5/13

Mixed Number

Proper (5/13)

Decimal Value

0.384615

Percentage

38.4615%

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Step-by-Step Solution: 2/13 + 3/13

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (13). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 13.

2/13 + 3/13

Step 2

Add the Numerators

Now add the numerators (2 + 3 = 5) and keep the common denominator 13 unchanged.

2 + 3/13 = 5/13

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 5 and 13 is 1, confirming that 5/13 cannot be reduced further—it is already in its simplest irreducible form.

5/13

Step 4

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 13 produces a repeating decimal (approximately 0.384615, or 38.4615%).

5 ÷ 13 = 0.384615 (38.4615%)

Visual Representation

The diagram below illustrates 2/13 plus 3/13 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/13`
Mixed Number Form	`5/13`
Decimal Form	`0.384615`
Percentage	`38.4615%`

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Frequently Asked Questions

What is 2/13 plus 3/13 as a fraction?

2/13 + 3/13 in simplest fraction form is 5/13.

What is 2/13 plus 3/13 as a decimal?

2/13 + 3/13 converted to a decimal is 0.384615.

What is 2/13 plus 3/13 as a percentage?

2/13 + 3/13 expressed as a percentage is 38.4615%.

Does 2/13 plus 3/13 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.384615...) because the denominator contains prime factors other than 2 and 5.