What is 2/8 plus 9/34? (Answer: 35/68)

Exact Answer

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Problem: What is 2/8 plus 9/34?
Formula / Expression: 2/8 + 9/34
Final Answer: 35/68
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 34 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 136 (which is smaller than their product 8 × 34 = 272, keeping the calculation simpler).
Working: LCD(8, 34) = 136

Step 2: Convert to Equivalent Fractions with Common Denominator 136
Multiply the numerator and denominator of 2/8 by 17, and multiply the numerator and denominator of 9/34 by 4 so both fractions share the common base 136.
Working: 2 × 17/8 × 17 = 34/136 and 9 × 4/34 × 4 = 36/136

Step 3: Add the Numerators
Now add the numerators (34 + 36 = 70) and keep the common denominator 136 unchanged.
Working: 34 + 36/136 = 70/136

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 70 and 136, which is 2. Divide both the numerator and denominator by 2.
Working: 70 ÷ 2/136 ÷ 2 = 35/68

Step 5: Decimal & Percentage Representation
Dividing the numerator 35 by denominator 68 produces a repeating decimal (approximately 0.514706, or 51.4706%).
Working: 35 ÷ 68 = 0.514706 (51.4706%)

Key Values:
- Simplified Fraction: 35/68
- Mixed Number Form: 35/68
- Decimal Value: 0.514706
- Percentage: 51.4706%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-34/
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2/8 + 9/34 = 35/68

Simplified Fraction

35/68

Mixed Number

Proper (35/68)

Decimal Value

0.514706

Percentage

51.4706%

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Step-by-Step Solution: 2/8 + 9/34

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 34 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 136 (which is smaller than their product 8 × 34 = 272, keeping the calculation simpler).

LCD(8, 34) = 136

Step 2

Convert to Equivalent Fractions with Common Denominator 136

Multiply the numerator and denominator of 2/8 by 17, and multiply the numerator and denominator of 9/34 by 4 so both fractions share the common base 136.

2 × 17/8 × 17 = 34/136 and 9 × 4/34 × 4 = 36/136

Step 3

Add the Numerators

Now add the numerators (34 + 36 = 70) and keep the common denominator 136 unchanged.

34 + 36/136 = 70/136

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 70 and 136, which is 2. Divide both the numerator and denominator by 2.

70 ÷ 2/136 ÷ 2 = 35/68

Step 5

Decimal & Percentage Representation

Dividing the numerator 35 by denominator 68 produces a repeating decimal (approximately 0.514706, or 51.4706%).

35 ÷ 68 = 0.514706 (51.4706%)

Visual Representation

The diagram below illustrates 2/8 plus 9/34 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`35/68`
Mixed Number Form	`35/68`
Decimal Form	`0.514706`
Percentage	`51.4706%`

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Frequently Asked Questions

What is 2/8 plus 9/34 as a fraction?

2/8 + 9/34 in simplest fraction form is 35/68.

What is 2/8 plus 9/34 as a decimal?

2/8 + 9/34 converted to a decimal is 0.514706.

What is 2/8 plus 9/34 as a percentage?

2/8 + 9/34 expressed as a percentage is 51.4706%.

Does 2/8 plus 9/34 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.514706...) because the denominator contains prime factors other than 2 and 5.