What is 2/23 plus 2/8? (Answer: 31/92)

Exact Answer

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Problem: What is 2/23 plus 2/8?
Formula / Expression: 2/23 + 2/8
Final Answer: 31/92
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 23 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 8 = 184.
Working: LCD(23, 8) = 184

Step 2: Convert to Equivalent Fractions with Common Denominator 184
Multiply the numerator and denominator of 2/23 by 8, and multiply the numerator and denominator of 2/8 by 23 so both fractions share the common base 184.
Working: 2 × 8/23 × 8 = 16/184 and 2 × 23/8 × 23 = 46/184

Step 3: Add the Numerators
Now add the numerators (16 + 46 = 62) and keep the common denominator 184 unchanged.
Working: 16 + 46/184 = 62/184

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 184, which is 2. Divide both the numerator and denominator by 2.
Working: 62 ÷ 2/184 ÷ 2 = 31/92

Step 5: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 92 produces a repeating decimal (approximately 0.336957, or 33.6957%).
Working: 31 ÷ 92 = 0.336957 (33.6957%)

Key Values:
- Simplified Fraction: 31/92
- Mixed Number Form: 31/92
- Decimal Value: 0.336957
- Percentage: 33.6957%

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Solved with FractionsCalc:
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2/23 + 2/8 = 31/92

Simplified Fraction

31/92

Mixed Number

Proper (31/92)

Decimal Value

0.336957

Percentage

33.6957%

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Step-by-Step Solution: 2/23 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 23 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 8 = 184.

LCD(23, 8) = 184

Step 2

Convert to Equivalent Fractions with Common Denominator 184

Multiply the numerator and denominator of 2/23 by 8, and multiply the numerator and denominator of 2/8 by 23 so both fractions share the common base 184.

2 × 8/23 × 8 = 16/184 and 2 × 23/8 × 23 = 46/184

Step 3

Add the Numerators

Now add the numerators (16 + 46 = 62) and keep the common denominator 184 unchanged.

16 + 46/184 = 62/184

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 62 and 184, which is 2. Divide both the numerator and denominator by 2.

62 ÷ 2/184 ÷ 2 = 31/92

Step 5

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 92 produces a repeating decimal (approximately 0.336957, or 33.6957%).

31 ÷ 92 = 0.336957 (33.6957%)

Visual Representation

The diagram below illustrates 2/23 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/92`
Mixed Number Form	`31/92`
Decimal Form	`0.336957`
Percentage	`33.6957%`

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Frequently Asked Questions

What is 2/23 plus 2/8 as a fraction?

2/23 + 2/8 in simplest fraction form is 31/92.

What is 2/23 plus 2/8 as a decimal?

2/23 + 2/8 converted to a decimal is 0.336957.

What is 2/23 plus 2/8 as a percentage?

2/23 + 2/8 expressed as a percentage is 33.6957%.

Does 2/23 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.336957...) because the denominator contains prime factors other than 2 and 5.