What is 2/22 plus 9/22?
2/22 plus 9/22 equals 1/2 (or 0.5 in decimal form). Learn the step-by-step solution to add 2/22 and 9/22 using Least Common Denominator and simplification.
Exact Answer
2/22 + 9/22 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 2/22 + 9/22
Step 1
Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (22). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 22.
2/22 + 9/22
Step 2
Add the Numerators
Now add the numerators (2 + 9 = 11) and keep the common denominator 22 unchanged.
2 + 9/22 = 11/22
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 11 and 22, which is 11. Divide both the numerator and denominator by 11.
11 ÷ 11/22 ÷ 11 = 1/2
Step 4
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).
1 ÷ 2 = 0.5 (50%)
Visual Representation
The diagram below illustrates 2/22 plus 9/22 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 2/22 plus 9/22 as a fraction?
2/22 + 9/22 in simplest fraction form is 1/2.
What is 2/22 plus 9/22 as a decimal?
2/22 + 9/22 converted to a decimal is 0.5.
What is 2/22 plus 9/22 as a percentage?
2/22 + 9/22 expressed as a percentage is 50%.
Does 2/22 plus 9/22 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.