What is 2/12 plus 1/3? (Answer: 1/2)

Exact Answer

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Problem: What is 2/12 plus 1/3?
Formula / Expression: 2/12 + 1/3
Final Answer: 1/2
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 3 (3 × 4 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
Working: LCD(12, 3) = 12

Step 2: Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 2/12 by 1, and multiply the numerator and denominator of 1/3 by 4 so both fractions share the common base 12.
Working: 2 × 1/12 × 1 = 2/12 and 1 × 4/3 × 4 = 4/12

Step 3: Add the Numerators
Now add the numerators (2 + 4 = 6) and keep the common denominator 12 unchanged.
Working: 2 + 4/12 = 6/12

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 12, which is 6. Divide both the numerator and denominator by 6.
Working: 6 ÷ 6/12 ÷ 6 = 1/2

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).
Working: 1 ÷ 2 = 0.5 (50%)

Key Values:
- Simplified Fraction: 1/2
- Mixed Number Form: 1/2
- Decimal Value: 0.5
- Percentage: 50%

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Solved with FractionsCalc:
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2/12 + 1/3 = 1/2

Simplified Fraction

1/2

Mixed Number

Proper (1/2)

Decimal Value

0.5

Percentage

50%

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Step-by-Step Solution: 2/12 + 1/3

Step 1

Find the Least Common Denominator (LCD)

Notice that 12 is an exact multiple of 3 (3 × 4 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.

LCD(12, 3) = 12

Step 2

Convert to Equivalent Fractions with Common Denominator 12

Multiply the numerator and denominator of 2/12 by 1, and multiply the numerator and denominator of 1/3 by 4 so both fractions share the common base 12.

2 × 1/12 × 1 = 2/12 and 1 × 4/3 × 4 = 4/12

Step 3

Add the Numerators

Now add the numerators (2 + 4 = 6) and keep the common denominator 12 unchanged.

2 + 4/12 = 6/12

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 6 and 12, which is 6. Divide both the numerator and denominator by 6.

6 ÷ 6/12 ÷ 6 = 1/2

Step 5

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 2/12 plus 1/3 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 2/12 plus 1/3 as a fraction?

2/12 + 1/3 in simplest fraction form is 1/2.

What is 2/12 plus 1/3 as a decimal?

2/12 + 1/3 converted to a decimal is 0.5.

What is 2/12 plus 1/3 as a percentage?

2/12 + 1/3 expressed as a percentage is 50%.

Does 2/12 plus 1/3 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.