What is 2/12 plus 3/4? (Answer: 11/12)

Exact Answer

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Problem: What is 2/12 plus 3/4?
Formula / Expression: 2/12 + 3/4
Final Answer: 11/12
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 4 (4 × 3 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
Working: LCD(12, 4) = 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 3/4 by 3 so both fractions share the common base 12.
Working: 2 × 1/12 × 1 = 2/12 and 3 × 3/4 × 3 = 9/12

Step 3: Add the Numerators
Now add the numerators (2 + 9 = 11) and keep the common denominator 12 unchanged.
Working: 2 + 9/12 = 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.
Working: 11/12

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 12 produces a repeating decimal (approximately 0.916667, or 91.6667%).
Working: 11 ÷ 12 = 0.916667 (91.6667%)

Key Values:
- Simplified Fraction: 11/12
- Mixed Number Form: 11/12
- Decimal Value: 0.916667
- Percentage: 91.6667%

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Solved with FractionsCalc:
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2/12 + 3/4 = 11/12

Simplified Fraction

11/12

Mixed Number

Proper (11/12)

Decimal Value

0.916667

Percentage

91.6667%

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Step-by-Step Solution: 2/12 + 3/4

Step 1

Find the Least Common Denominator (LCD)

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

LCD(12, 4) = 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 3/4 by 3 so both fractions share the common base 12.

2 × 1/12 × 1 = 2/12 and 3 × 3/4 × 3 = 9/12

Step 3

Add the Numerators

Now add the numerators (2 + 9 = 11) and keep the common denominator 12 unchanged.

2 + 9/12 = 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 2/12 plus 3/4 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 2/12 plus 3/4 as a fraction?

2/12 + 3/4 in simplest fraction form is 11/12.

What is 2/12 plus 3/4 as a decimal?

2/12 + 3/4 converted to a decimal is 0.916667.

What is 2/12 plus 3/4 as a percentage?

2/12 + 3/4 expressed as a percentage is 91.6667%.

Does 2/12 plus 3/4 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.