What is 2/27 plus 2/6? (Answer: 11/27)

Exact Answer

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Problem: What is 2/27 plus 2/6?
Formula / Expression: 2/27 + 2/6
Final Answer: 11/27
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 27 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 54 (which is smaller than their product 27 × 6 = 162, keeping the calculation simpler).
Working: LCD(27, 6) = 54

Step 2: Convert to Equivalent Fractions with Common Denominator 54
Multiply the numerator and denominator of 2/27 by 2, and multiply the numerator and denominator of 2/6 by 9 so both fractions share the common base 54.
Working: 2 × 2/27 × 2 = 4/54 and 2 × 9/6 × 9 = 18/54

Step 3: Add the Numerators
Now add the numerators (4 + 18 = 22) and keep the common denominator 54 unchanged.
Working: 4 + 18/54 = 22/54

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 22 and 54, which is 2. Divide both the numerator and denominator by 2.
Working: 22 ÷ 2/54 ÷ 2 = 11/27

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 27 produces a repeating decimal (approximately 0.407407, or 40.7407%).
Working: 11 ÷ 27 = 0.407407 (40.7407%)

Key Values:
- Simplified Fraction: 11/27
- Mixed Number Form: 11/27
- Decimal Value: 0.407407
- Percentage: 40.7407%

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Solved with FractionsCalc:
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2/27 + 2/6 = 11/27

Simplified Fraction

11/27

Mixed Number

Proper (11/27)

Decimal Value

0.407407

Percentage

40.7407%

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Step-by-Step Solution: 2/27 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 27 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 54 (which is smaller than their product 27 × 6 = 162, keeping the calculation simpler).

LCD(27, 6) = 54

Step 2

Convert to Equivalent Fractions with Common Denominator 54

Multiply the numerator and denominator of 2/27 by 2, and multiply the numerator and denominator of 2/6 by 9 so both fractions share the common base 54.

2 × 2/27 × 2 = 4/54 and 2 × 9/6 × 9 = 18/54

Step 3

Add the Numerators

Now add the numerators (4 + 18 = 22) and keep the common denominator 54 unchanged.

4 + 18/54 = 22/54

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 22 and 54, which is 2. Divide both the numerator and denominator by 2.

22 ÷ 2/54 ÷ 2 = 11/27

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 27 produces a repeating decimal (approximately 0.407407, or 40.7407%).

11 ÷ 27 = 0.407407 (40.7407%)

Visual Representation

The diagram below illustrates 2/27 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/27`
Mixed Number Form	`11/27`
Decimal Form	`0.407407`
Percentage	`40.7407%`

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Frequently Asked Questions

What is 2/27 plus 2/6 as a fraction?

2/27 + 2/6 in simplest fraction form is 11/27.

What is 2/27 plus 2/6 as a decimal?

2/27 + 2/6 converted to a decimal is 0.407407.

What is 2/27 plus 2/6 as a percentage?

2/27 + 2/6 expressed as a percentage is 40.7407%.

Does 2/27 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.407407...) because the denominator contains prime factors other than 2 and 5.