What is 2/43 plus 2/9? (Answer: 104/387)

Exact Answer

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Problem: What is 2/43 plus 2/9?
Formula / Expression: 2/43 + 2/9
Final Answer: 104/387
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 43 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 43 × 9 = 387.
Working: LCD(43, 9) = 387

Step 2: Convert to Equivalent Fractions with Common Denominator 387
Multiply the numerator and denominator of 2/43 by 9, and multiply the numerator and denominator of 2/9 by 43 so both fractions share the common base 387.
Working: 2 × 9/43 × 9 = 18/387 and 2 × 43/9 × 43 = 86/387

Step 3: Add the Numerators
Now add the numerators (18 + 86 = 104) and keep the common denominator 387 unchanged.
Working: 18 + 86/387 = 104/387

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 104 and 387 is 1, confirming that 104/387 cannot be reduced further—it is already in its simplest irreducible form.
Working: 104/387

Step 5: Decimal & Percentage Representation
Dividing the numerator 104 by denominator 387 produces a repeating decimal (approximately 0.268734, or 26.8734%).
Working: 104 ÷ 387 = 0.268734 (26.8734%)

Key Values:
- Simplified Fraction: 104/387
- Mixed Number Form: 104/387
- Decimal Value: 0.268734
- Percentage: 26.8734%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-43-plus-2-9/
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2/43 + 2/9 = 104/387

Simplified Fraction

104/387

Mixed Number

Proper (104/387)

Decimal Value

0.268734

Percentage

26.8734%

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Step-by-Step Solution: 2/43 + 2/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 43 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 43 × 9 = 387.

LCD(43, 9) = 387

Step 2

Convert to Equivalent Fractions with Common Denominator 387

Multiply the numerator and denominator of 2/43 by 9, and multiply the numerator and denominator of 2/9 by 43 so both fractions share the common base 387.

2 × 9/43 × 9 = 18/387 and 2 × 43/9 × 43 = 86/387

Step 3

Add the Numerators

Now add the numerators (18 + 86 = 104) and keep the common denominator 387 unchanged.

18 + 86/387 = 104/387

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 104 and 387 is 1, confirming that 104/387 cannot be reduced further—it is already in its simplest irreducible form.

104/387

Step 5

Decimal & Percentage Representation

Dividing the numerator 104 by denominator 387 produces a repeating decimal (approximately 0.268734, or 26.8734%).

104 ÷ 387 = 0.268734 (26.8734%)

Visual Representation

The diagram below illustrates 2/43 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`104/387`
Mixed Number Form	`104/387`
Decimal Form	`0.268734`
Percentage	`26.8734%`

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Frequently Asked Questions

What is 2/43 plus 2/9 as a fraction?

2/43 + 2/9 in simplest fraction form is 104/387.

What is 2/43 plus 2/9 as a decimal?

2/43 + 2/9 converted to a decimal is 0.268734.

What is 2/43 plus 2/9 as a percentage?

2/43 + 2/9 expressed as a percentage is 26.8734%.

Does 2/43 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.268734...) because the denominator contains prime factors other than 2 and 5.