What is 2/21 plus 6/21?
2/21 plus 6/21 equals 8/21 (or 0.380952 in decimal form). Learn the step-by-step solution to add 2/21 and 6/21 using Least Common Denominator and simplification.
Exact Answer
2/21 + 6/21 = 8/21
Simplified Fraction
8/21
Mixed Number
Proper (8/21)
Decimal Value
0.380952
Percentage
38.0952%
Step-by-Step Solution: 2/21 + 6/21
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 + 6/21
Step 2
Add the Numerators
Now add the numerators (2 + 6 = 8) and keep the common denominator 21 unchanged.
2 + 6/21 = 8/21
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 8 and 21 is 1, confirming that 8/21 cannot be reduced further—it is already in its simplest irreducible form.
8/21
Step 4
Decimal & Percentage Representation
Dividing the numerator 8 by denominator 21 produces a repeating decimal (approximately 0.380952, or 38.0952%).
8 ÷ 21 = 0.380952 (38.0952%)
Visual Representation
The diagram below illustrates 2/21 plus 6/21 visually:
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=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/21 |
| Mixed Number Form | 8/21 |
| Decimal Form | 0.380952 |
| Percentage | 38.0952% |
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Frequently Asked Questions
What is 2/21 plus 6/21 as a fraction?
2/21 + 6/21 in simplest fraction form is 8/21.
What is 2/21 plus 6/21 as a decimal?
2/21 + 6/21 converted to a decimal is 0.380952.
What is 2/21 plus 6/21 as a percentage?
2/21 + 6/21 expressed as a percentage is 38.0952%.
Does 2/21 plus 6/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.380952...) because the denominator contains prime factors other than 2 and 5.