What is 1/12 plus 2/8? (Answer: 1/3)

Exact Answer

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Problem: What is 1/12 plus 2/8?
Formula / Expression: 1/12 + 2/8
Final Answer: 1/3
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 12 and 8 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 12 × 8 = 96, keeping the calculation simpler).
Working: LCD(12, 8) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 1/12 by 2, and multiply the numerator and denominator of 2/8 by 3 so both fractions share the common base 24.
Working: 1 × 2/12 × 2 = 2/24 and 2 × 3/8 × 3 = 6/24

Step 3: Add the Numerators
Now add the numerators (2 + 6 = 8) and keep the common denominator 24 unchanged.
Working: 2 + 6/24 = 8/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 24, which is 8. Divide both the numerator and denominator by 8.
Working: 8 ÷ 8/24 ÷ 8 = 1/3

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 3 produces a repeating decimal (approximately 0.333333, or 33.3333%).
Working: 1 ÷ 3 = 0.333333 (33.3333%)

Key Values:
- Simplified Fraction: 1/3
- Mixed Number Form: 1/3
- Decimal Value: 0.333333
- Percentage: 33.3333%

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Solved with FractionsCalc:
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1/12 + 2/8 = 1/3

Simplified Fraction

1/3

Mixed Number

Proper (1/3)

Decimal Value

0.333333

Percentage

33.3333%

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Step-by-Step Solution: 1/12 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 12 and 8 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 12 × 8 = 96, keeping the calculation simpler).

LCD(12, 8) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 1/12 by 2, and multiply the numerator and denominator of 2/8 by 3 so both fractions share the common base 24.

1 × 2/12 × 2 = 2/24 and 2 × 3/8 × 3 = 6/24

Step 3

Add the Numerators

Now add the numerators (2 + 6 = 8) and keep the common denominator 24 unchanged.

2 + 6/24 = 8/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 8 and 24, which is 8. Divide both the numerator and denominator by 8.

8 ÷ 8/24 ÷ 8 = 1/3

Step 5

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 1/12 plus 2/8 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 1/12 plus 2/8 as a fraction?

1/12 + 2/8 in simplest fraction form is 1/3.

What is 1/12 plus 2/8 as a decimal?

1/12 + 2/8 converted to a decimal is 0.333333.

What is 1/12 plus 2/8 as a percentage?

1/12 + 2/8 expressed as a percentage is 33.3333%.

Does 1/12 plus 2/8 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.