What is 2/47 plus 2/9? (Answer: 112/423)

Exact Answer

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Problem: What is 2/47 plus 2/9?
Formula / Expression: 2/47 + 2/9
Final Answer: 112/423
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 47 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 47 × 9 = 423.
Working: LCD(47, 9) = 423

Step 2: Convert to Equivalent Fractions with Common Denominator 423
Multiply the numerator and denominator of 2/47 by 9, and multiply the numerator and denominator of 2/9 by 47 so both fractions share the common base 423.
Working: 2 × 9/47 × 9 = 18/423 and 2 × 47/9 × 47 = 94/423

Step 3: Add the Numerators
Now add the numerators (18 + 94 = 112) and keep the common denominator 423 unchanged.
Working: 18 + 94/423 = 112/423

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 112 and 423 is 1, confirming that 112/423 cannot be reduced further—it is already in its simplest irreducible form.
Working: 112/423

Step 5: Decimal & Percentage Representation
Dividing the numerator 112 by denominator 423 produces a repeating decimal (approximately 0.264775, or 26.4775%).
Working: 112 ÷ 423 = 0.264775 (26.4775%)

Key Values:
- Simplified Fraction: 112/423
- Mixed Number Form: 112/423
- Decimal Value: 0.264775
- Percentage: 26.4775%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-47-plus-2-9/
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2/47 + 2/9 = 112/423

Simplified Fraction

112/423

Mixed Number

Proper (112/423)

Decimal Value

0.264775

Percentage

26.4775%

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Step-by-Step Solution: 2/47 + 2/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 47 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 47 × 9 = 423.

LCD(47, 9) = 423

Step 2

Convert to Equivalent Fractions with Common Denominator 423

Multiply the numerator and denominator of 2/47 by 9, and multiply the numerator and denominator of 2/9 by 47 so both fractions share the common base 423.

2 × 9/47 × 9 = 18/423 and 2 × 47/9 × 47 = 94/423

Step 3

Add the Numerators

Now add the numerators (18 + 94 = 112) and keep the common denominator 423 unchanged.

18 + 94/423 = 112/423

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 112 and 423 is 1, confirming that 112/423 cannot be reduced further—it is already in its simplest irreducible form.

112/423

Step 5

Decimal & Percentage Representation

Dividing the numerator 112 by denominator 423 produces a repeating decimal (approximately 0.264775, or 26.4775%).

112 ÷ 423 = 0.264775 (26.4775%)

Visual Representation

The diagram below illustrates 2/47 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`112/423`
Mixed Number Form	`112/423`
Decimal Form	`0.264775`
Percentage	`26.4775%`

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Frequently Asked Questions

What is 2/47 plus 2/9 as a fraction?

2/47 + 2/9 in simplest fraction form is 112/423.

What is 2/47 plus 2/9 as a decimal?

2/47 + 2/9 converted to a decimal is 0.264775.

What is 2/47 plus 2/9 as a percentage?

2/47 + 2/9 expressed as a percentage is 26.4775%.

Does 2/47 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.264775...) because the denominator contains prime factors other than 2 and 5.