What is 4/12 plus 1/2? (Answer: 5/6)

Exact Answer

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Problem: What is 4/12 plus 1/2?
Formula / Expression: 4/12 + 1/2
Final Answer: 5/6
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 2 (2 × 6 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
Working: LCD(12, 2) = 12

Step 2: Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 4/12 by 1, and multiply the numerator and denominator of 1/2 by 6 so both fractions share the common base 12.
Working: 4 × 1/12 × 1 = 4/12 and 1 × 6/2 × 6 = 6/12

Step 3: Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 12 unchanged.
Working: 4 + 6/12 = 10/12

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 12, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/12 ÷ 2 = 5/6

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).
Working: 5 ÷ 6 = 0.833333 (83.3333%)

Key Values:
- Simplified Fraction: 5/6
- Mixed Number Form: 5/6
- Decimal Value: 0.833333
- Percentage: 83.3333%

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Solved with FractionsCalc:
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4/12 + 1/2 = 5/6

Simplified Fraction

5/6

Mixed Number

Proper (5/6)

Decimal Value

0.833333

Percentage

83.3333%

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Step-by-Step Solution: 4/12 + 1/2

Step 1

Find the Least Common Denominator (LCD)

Notice that 12 is an exact multiple of 2 (2 × 6 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.

LCD(12, 2) = 12

Step 2

Convert to Equivalent Fractions with Common Denominator 12

Multiply the numerator and denominator of 4/12 by 1, and multiply the numerator and denominator of 1/2 by 6 so both fractions share the common base 12.

4 × 1/12 × 1 = 4/12 and 1 × 6/2 × 6 = 6/12

Step 3

Add the Numerators

Now add the numerators (4 + 6 = 10) and keep the common denominator 12 unchanged.

4 + 6/12 = 10/12

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 12, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/12 ÷ 2 = 5/6

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).

5 ÷ 6 = 0.833333 (83.3333%)

Visual Representation

The diagram below illustrates 4/12 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/6`
Mixed Number Form	`5/6`
Decimal Form	`0.833333`
Percentage	`83.3333%`

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Frequently Asked Questions

What is 4/12 plus 1/2 as a fraction?

4/12 + 1/2 in simplest fraction form is 5/6.

What is 4/12 plus 1/2 as a decimal?

4/12 + 1/2 converted to a decimal is 0.833333.

What is 4/12 plus 1/2 as a percentage?

4/12 + 1/2 expressed as a percentage is 83.3333%.

Does 4/12 plus 1/2 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.833333...) because the denominator contains prime factors other than 2 and 5.