What is 2/12 plus 6/9? (Answer: 5/6)

Exact Answer

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Problem: What is 2/12 plus 6/9?
Formula / Expression: 2/12 + 6/9
Final Answer: 5/6
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 12 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 12 × 9 = 108, keeping the calculation simpler).
Working: LCD(12, 9) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 2/12 by 3, and multiply the numerator and denominator of 6/9 by 4 so both fractions share the common base 36.
Working: 2 × 3/12 × 3 = 6/36 and 6 × 4/9 × 4 = 24/36

Step 3: Add the Numerators
Now add the numerators (6 + 24 = 30) and keep the common denominator 36 unchanged.
Working: 6 + 24/36 = 30/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 30 and 36, which is 6. Divide both the numerator and denominator by 6.
Working: 30 ÷ 6/36 ÷ 6 = 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:
https://fractionscalc.com/what-is-2-12-plus-6-9/
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2/12 + 6/9 = 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: 2/12 + 6/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 12 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 12 × 9 = 108, keeping the calculation simpler).

LCD(12, 9) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 2/12 by 3, and multiply the numerator and denominator of 6/9 by 4 so both fractions share the common base 36.

2 × 3/12 × 3 = 6/36 and 6 × 4/9 × 4 = 24/36

Step 3

Add the Numerators

Now add the numerators (6 + 24 = 30) and keep the common denominator 36 unchanged.

6 + 24/36 = 30/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 30 and 36, which is 6. Divide both the numerator and denominator by 6.

30 ÷ 6/36 ÷ 6 = 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 2/12 plus 6/9 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 2/12 plus 6/9 as a fraction?

2/12 + 6/9 in simplest fraction form is 5/6.

What is 2/12 plus 6/9 as a decimal?

2/12 + 6/9 converted to a decimal is 0.833333.

What is 2/12 plus 6/9 as a percentage?

2/12 + 6/9 expressed as a percentage is 83.3333%.

Does 2/12 plus 6/9 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.