What is 1/21 plus 6/21?
1/21 plus 6/21 equals 1/3 (or 0.333333 in decimal form). Learn the step-by-step solution to add 1/21 and 6/21 using Least Common Denominator and simplification.
Exact Answer
1/21 + 6/21 = 1/3
Simplified Fraction
1/3
Mixed Number
Proper (1/3)
Decimal Value
0.333333
Percentage
33.3333%
Step-by-Step Solution: 1/21 + 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.
1/21 + 6/21
Step 2
Add the Numerators
Now add the numerators (1 + 6 = 7) and keep the common denominator 21 unchanged.
1 + 6/21 = 7/21
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 7 and 21, which is 7. Divide both the numerator and denominator by 7.
7 ÷ 7/21 ÷ 7 = 1/3
Step 4
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 3 produces a repeating decimal (approximately 0.333333, or 33.3333%).
1 ÷ 3 = 0.333333 (33.3333%)
Visual Representation
The diagram below illustrates 1/21 plus 6/21 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/3 |
| Mixed Number Form | 1/3 |
| Decimal Form | 0.333333 |
| Percentage | 33.3333% |
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Frequently Asked Questions
What is 1/21 plus 6/21 as a fraction?
1/21 + 6/21 in simplest fraction form is 1/3.
What is 1/21 plus 6/21 as a decimal?
1/21 + 6/21 converted to a decimal is 0.333333.
What is 1/21 plus 6/21 as a percentage?
1/21 + 6/21 expressed as a percentage is 33.3333%.
Does 1/21 plus 6/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.333333...) because the denominator contains prime factors other than 2 and 5.