What is 2/27 plus 2/9? (Answer: 8/27)

Exact Answer

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Problem: What is 2/27 plus 2/9?
Formula / Expression: 2/27 + 2/9
Final Answer: 8/27
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 27 is an exact multiple of 9 (9 × 3 = 27). The Least Common Denominator (LCD) is simply 27, meaning we only need to scale one fraction.
Working: LCD(27, 9) = 27

Step 2: Convert to Equivalent Fractions with Common Denominator 27
Multiply the numerator and denominator of 2/27 by 1, and multiply the numerator and denominator of 2/9 by 3 so both fractions share the common base 27.
Working: 2 × 1/27 × 1 = 2/27 and 2 × 3/9 × 3 = 6/27

Step 3: Add the Numerators
Now add the numerators (2 + 6 = 8) and keep the common denominator 27 unchanged.
Working: 2 + 6/27 = 8/27

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 8 and 27 is 1, confirming that 8/27 cannot be reduced further—it is already in its simplest irreducible form.
Working: 8/27

Step 5: Decimal & Percentage Representation
Dividing the numerator 8 by denominator 27 produces a repeating decimal (approximately 0.296296, or 29.6296%).
Working: 8 ÷ 27 = 0.296296 (29.6296%)

Key Values:
- Simplified Fraction: 8/27
- Mixed Number Form: 8/27
- Decimal Value: 0.296296
- Percentage: 29.6296%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-27-plus-2-9/
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2/27 + 2/9 = 8/27

Simplified Fraction

8/27

Mixed Number

Proper (8/27)

Decimal Value

0.296296

Percentage

29.6296%

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Step-by-Step Solution: 2/27 + 2/9

Step 1

Find the Least Common Denominator (LCD)

Notice that 27 is an exact multiple of 9 (9 × 3 = 27). The Least Common Denominator (LCD) is simply 27, meaning we only need to scale one fraction.

LCD(27, 9) = 27

Step 2

Convert to Equivalent Fractions with Common Denominator 27

Multiply the numerator and denominator of 2/27 by 1, and multiply the numerator and denominator of 2/9 by 3 so both fractions share the common base 27.

2 × 1/27 × 1 = 2/27 and 2 × 3/9 × 3 = 6/27

Step 3

Add the Numerators

Now add the numerators (2 + 6 = 8) and keep the common denominator 27 unchanged.

2 + 6/27 = 8/27

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 8 and 27 is 1, confirming that 8/27 cannot be reduced further—it is already in its simplest irreducible form.

8/27

Step 5

Decimal & Percentage Representation

Dividing the numerator 8 by denominator 27 produces a repeating decimal (approximately 0.296296, or 29.6296%).

8 ÷ 27 = 0.296296 (29.6296%)

Visual Representation

The diagram below illustrates 2/27 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/27`
Mixed Number Form	`8/27`
Decimal Form	`0.296296`
Percentage	`29.6296%`

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Frequently Asked Questions

What is 2/27 plus 2/9 as a fraction?

2/27 + 2/9 in simplest fraction form is 8/27.

What is 2/27 plus 2/9 as a decimal?

2/27 + 2/9 converted to a decimal is 0.296296.

What is 2/27 plus 2/9 as a percentage?

2/27 + 2/9 expressed as a percentage is 29.6296%.

Does 2/27 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.296296...) because the denominator contains prime factors other than 2 and 5.