What is 2/21 plus 11/21?
2/21 plus 11/21 equals 13/21 (or 0.619048 in decimal form). Learn the step-by-step solution to add 2/21 and 11/21 using Least Common Denominator and simplification.
Exact Answer
2/21 + 11/21 = 13/21
Simplified Fraction
13/21
Mixed Number
Proper (13/21)
Decimal Value
0.619048
Percentage
61.9048%
Step-by-Step Solution: 2/21 + 11/21
Step 1
Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (21). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 21.
2/21 + 11/21
Step 2
Add the Numerators
Now add the numerators (2 + 11 = 13) and keep the common denominator 21 unchanged.
2 + 11/21 = 13/21
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 13 and 21 is 1, confirming that 13/21 cannot be reduced further—it is already in its simplest irreducible form.
13/21
Step 4
Decimal & Percentage Representation
Dividing the numerator 13 by denominator 21 produces a repeating decimal (approximately 0.619048, or 61.9048%).
13 ÷ 21 = 0.619048 (61.9048%)
Visual Representation
The diagram below illustrates 2/21 plus 11/21 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/21 |
| Mixed Number Form | 13/21 |
| Decimal Form | 0.619048 |
| Percentage | 61.9048% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/21 plus 11/21 as a fraction?
2/21 + 11/21 in simplest fraction form is 13/21.
What is 2/21 plus 11/21 as a decimal?
2/21 + 11/21 converted to a decimal is 0.619048.
What is 2/21 plus 11/21 as a percentage?
2/21 + 11/21 expressed as a percentage is 61.9048%.
Does 2/21 plus 11/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.619048...) because the denominator contains prime factors other than 2 and 5.