What is 2/8 plus 9/23? (Answer: 59/92)

Exact Answer

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Problem: What is 2/8 plus 9/23?
Formula / Expression: 2/8 + 9/23
Final Answer: 59/92
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 184
Multiply the numerator and denominator of 2/8 by 23, and multiply the numerator and denominator of 9/23 by 8 so both fractions share the common base 184.
Working: 2 × 23/8 × 23 = 46/184 and 9 × 8/23 × 8 = 72/184

Step 3: Add the Numerators
Now add the numerators (46 + 72 = 118) and keep the common denominator 184 unchanged.
Working: 46 + 72/184 = 118/184

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 118 and 184, which is 2. Divide both the numerator and denominator by 2.
Working: 118 ÷ 2/184 ÷ 2 = 59/92

Step 5: Decimal & Percentage Representation
Dividing the numerator 59 by denominator 92 produces a repeating decimal (approximately 0.641304, or 64.1304%).
Working: 59 ÷ 92 = 0.641304 (64.1304%)

Key Values:
- Simplified Fraction: 59/92
- Mixed Number Form: 59/92
- Decimal Value: 0.641304
- Percentage: 64.1304%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-23/
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2/8 + 9/23 = 59/92

Simplified Fraction

59/92

Mixed Number

Proper (59/92)

Decimal Value

0.641304

Percentage

64.1304%

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Step-by-Step Solution: 2/8 + 9/23

Step 1

Find the Least Common Denominator (LCD)

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

LCD(8, 23) = 184

Step 2

Convert to Equivalent Fractions with Common Denominator 184

Multiply the numerator and denominator of 2/8 by 23, and multiply the numerator and denominator of 9/23 by 8 so both fractions share the common base 184.

2 × 23/8 × 23 = 46/184 and 9 × 8/23 × 8 = 72/184

Step 3

Add the Numerators

Now add the numerators (46 + 72 = 118) and keep the common denominator 184 unchanged.

46 + 72/184 = 118/184

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 118 and 184, which is 2. Divide both the numerator and denominator by 2.

118 ÷ 2/184 ÷ 2 = 59/92

Step 5

Decimal & Percentage Representation

Dividing the numerator 59 by denominator 92 produces a repeating decimal (approximately 0.641304, or 64.1304%).

59 ÷ 92 = 0.641304 (64.1304%)

Visual Representation

The diagram below illustrates 2/8 plus 9/23 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`59/92`
Mixed Number Form	`59/92`
Decimal Form	`0.641304`
Percentage	`64.1304%`

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Frequently Asked Questions

What is 2/8 plus 9/23 as a fraction?

2/8 + 9/23 in simplest fraction form is 59/92.

What is 2/8 plus 9/23 as a decimal?

2/8 + 9/23 converted to a decimal is 0.641304.

What is 2/8 plus 9/23 as a percentage?

2/8 + 9/23 expressed as a percentage is 64.1304%.

Does 2/8 plus 9/23 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.641304...) because the denominator contains prime factors other than 2 and 5.