What is 4/13 plus 6/13?
4/13 plus 6/13 equals 10/13 (or 0.769231 in decimal form). Learn the step-by-step solution to add 4/13 and 6/13 using Least Common Denominator and simplification.
Exact Answer
4/13 + 6/13 = 10/13
Simplified Fraction
10/13
Mixed Number
Proper (10/13)
Decimal Value
0.769231
Percentage
76.9231%
Step-by-Step Solution: 4/13 + 6/13
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.
4/13 + 6/13
Step 2
Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 13 unchanged.
4 + 6/13 = 10/13
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 10 and 13 is 1, confirming that 10/13 cannot be reduced further—it is already in its simplest irreducible form.
10/13
Step 4
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 4/13 plus 6/13 visually:
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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 4/13 plus 6/13 as a fraction?
4/13 + 6/13 in simplest fraction form is 10/13.
What is 4/13 plus 6/13 as a decimal?
4/13 + 6/13 converted to a decimal is 0.769231.
What is 4/13 plus 6/13 as a percentage?
4/13 + 6/13 expressed as a percentage is 76.9231%.
Does 4/13 plus 6/13 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.