What is 2/6 plus 7/12?
2/6 plus 7/12 equals 11/12 (or 0.916667 in decimal form). Learn the step-by-step solution to add 2/6 and 7/12 using Least Common Denominator and simplification.
Exact Answer
2/6 + 7/12 = 11/12
Simplified Fraction
11/12
Mixed Number
Proper (11/12)
Decimal Value
0.916667
Percentage
91.6667%
Step-by-Step Solution: 2/6 + 7/12
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 7/12 by 1 so both fractions share the common base 12.
2 × 2/6 × 2 = 4/12 and 7 × 1/12 × 1 = 7/12
Step 3
Add the Numerators
Now add the numerators (4 + 7 = 11) and keep the common denominator 12 unchanged.
4 + 7/12 = 11/12
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 11 and 12 is 1, confirming that 11/12 cannot be reduced further—it is already in its simplest irreducible form.
11/12
Step 5
Decimal & Percentage Representation
Dividing the numerator 11 by denominator 12 produces a repeating decimal (approximately 0.916667, or 91.6667%).
11 ÷ 12 = 0.916667 (91.6667%)
Visual Representation
The diagram below illustrates 2/6 plus 7/12 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/12 |
| Mixed Number Form | 11/12 |
| Decimal Form | 0.916667 |
| Percentage | 91.6667% |
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Frequently Asked Questions
What is 2/6 plus 7/12 as a fraction?
2/6 + 7/12 in simplest fraction form is 11/12.
What is 2/6 plus 7/12 as a decimal?
2/6 + 7/12 converted to a decimal is 0.916667.
What is 2/6 plus 7/12 as a percentage?
2/6 + 7/12 expressed as a percentage is 91.6667%.
Does 2/6 plus 7/12 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.916667...) because the denominator contains prime factors other than 2 and 5.