What is 3/13 plus 5/13? (Answer: 8/13)

Exact Answer

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Problem: What is 3/13 plus 5/13?
Formula / Expression: 3/13 + 5/13
Final Answer: 8/13
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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: 3/13 + 5/13

Step 2: Add the Numerators
Now add the numerators (3 + 5 = 8) and keep the common denominator 13 unchanged.
Working: 3 + 5/13 = 8/13

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 8 and 13 is 1, confirming that 8/13 cannot be reduced further—it is already in its simplest irreducible form.
Working: 8/13

Step 4: 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-3-13-plus-5-13/
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3/13 + 5/13 = 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: 3/13 + 5/13

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.

3/13 + 5/13

Step 2

Add the Numerators

Now add the numerators (3 + 5 = 8) and keep the common denominator 13 unchanged.

3 + 5/13 = 8/13

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 8 and 13 is 1, confirming that 8/13 cannot be reduced further—it is already in its simplest irreducible form.

8/13

Step 4

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 3/13 plus 5/13 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 3/13 plus 5/13 as a fraction?

3/13 + 5/13 in simplest fraction form is 8/13.

What is 3/13 plus 5/13 as a decimal?

3/13 + 5/13 converted to a decimal is 0.615385.

What is 3/13 plus 5/13 as a percentage?

3/13 + 5/13 expressed as a percentage is 61.5385%.

Does 3/13 plus 5/13 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.