What is 2/6 plus 9/12?
2/6 plus 9/12 equals 13/12 (or 1 1/12 as a mixed number) (or 1.083333 in decimal form). Learn the step-by-step solution to add 2/6 and 9/12 using Least Common Denominator and simplification.
Exact Answer
2/6 + 9/12 = 13/12
Simplified Fraction
13/12
Mixed Number
1 1/12
Decimal Value
1.083333
Percentage
108.3333%
Step-by-Step Solution: 2/6 + 9/12
Step 1
Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 6 (6 × 2 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
LCD(6, 12) = 12
Step 2
Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 2/6 by 2, and multiply the numerator and denominator of 9/12 by 1 so both fractions share the common base 12.
2 × 2/6 × 2 = 4/12 and 9 × 1/12 × 1 = 9/12
Step 3
Add the Numerators
Now add the numerators (4 + 9 = 13) and keep the common denominator 12 unchanged.
4 + 9/12 = 13/12
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 13 and 12 is 1, confirming that 13/12 cannot be reduced further—it is already in its simplest irreducible form.
13/12
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (13) is greater than the denominator (12), divide 13 by 12: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/12.
13/12 = 11/12
Step 6
Decimal & Percentage Representation
Dividing the numerator 13 by denominator 12 produces a repeating decimal (approximately 1.083333, or 108.3333%).
13 ÷ 12 = 1.083333 (108.3333%)
Visual Representation
The diagram below illustrates 2/6 plus 9/12 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/12 |
| Mixed Number Form | 1 1/12 |
| Decimal Form | 1.083333 |
| Percentage | 108.3333% |
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Frequently Asked Questions
What is 2/6 plus 9/12 as a fraction?
2/6 + 9/12 in simplest fraction form is 13/12 (or 1 1/12 as a mixed number).
What is 2/6 plus 9/12 as a decimal?
2/6 + 9/12 converted to a decimal is 1.083333.
What is 2/6 plus 9/12 as a percentage?
2/6 + 9/12 expressed as a percentage is 108.3333%.
How do you write 2/6 plus 9/12 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 13/12 can be written as the mixed number 1 1/12.
Does 2/6 plus 9/12 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.083333...) because the denominator contains prime factors other than 2 and 5.