What is 2/17 plus 4/8? (Answer: 21/34)

Exact Answer

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Problem: What is 2/17 plus 4/8?
Formula / Expression: 2/17 + 4/8
Final Answer: 21/34
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 17 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 8 = 136.
Working: LCD(17, 8) = 136

Step 2: Convert to Equivalent Fractions with Common Denominator 136
Multiply the numerator and denominator of 2/17 by 8, and multiply the numerator and denominator of 4/8 by 17 so both fractions share the common base 136.
Working: 2 × 8/17 × 8 = 16/136 and 4 × 17/8 × 17 = 68/136

Step 3: Add the Numerators
Now add the numerators (16 + 68 = 84) and keep the common denominator 136 unchanged.
Working: 16 + 68/136 = 84/136

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 84 and 136, which is 4. Divide both the numerator and denominator by 4.
Working: 84 ÷ 4/136 ÷ 4 = 21/34

Step 5: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 34 produces a repeating decimal (approximately 0.617647, or 61.7647%).
Working: 21 ÷ 34 = 0.617647 (61.7647%)

Key Values:
- Simplified Fraction: 21/34
- Mixed Number Form: 21/34
- Decimal Value: 0.617647
- Percentage: 61.7647%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-17-plus-4-8/
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2/17 + 4/8 = 21/34

Simplified Fraction

21/34

Mixed Number

Proper (21/34)

Decimal Value

0.617647

Percentage

61.7647%

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Step-by-Step Solution: 2/17 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 17 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 8 = 136.

LCD(17, 8) = 136

Step 2

Convert to Equivalent Fractions with Common Denominator 136

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

2 × 8/17 × 8 = 16/136 and 4 × 17/8 × 17 = 68/136

Step 3

Add the Numerators

Now add the numerators (16 + 68 = 84) and keep the common denominator 136 unchanged.

16 + 68/136 = 84/136

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 84 and 136, which is 4. Divide both the numerator and denominator by 4.

84 ÷ 4/136 ÷ 4 = 21/34

Step 5

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 34 produces a repeating decimal (approximately 0.617647, or 61.7647%).

21 ÷ 34 = 0.617647 (61.7647%)

Visual Representation

The diagram below illustrates 2/17 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/34`
Mixed Number Form	`21/34`
Decimal Form	`0.617647`
Percentage	`61.7647%`

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Frequently Asked Questions

What is 2/17 plus 4/8 as a fraction?

2/17 + 4/8 in simplest fraction form is 21/34.

What is 2/17 plus 4/8 as a decimal?

2/17 + 4/8 converted to a decimal is 0.617647.

What is 2/17 plus 4/8 as a percentage?

2/17 + 4/8 expressed as a percentage is 61.7647%.

Does 2/17 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.617647...) because the denominator contains prime factors other than 2 and 5.