What is 4/17 plus 2/8? (Answer: 33/68)

Exact Answer

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Problem: What is 4/17 plus 2/8?
Formula / Expression: 4/17 + 2/8
Final Answer: 33/68
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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 4/17 by 8, and multiply the numerator and denominator of 2/8 by 17 so both fractions share the common base 136.
Working: 4 × 8/17 × 8 = 32/136 and 2 × 17/8 × 17 = 34/136

Step 3: Add the Numerators
Now add the numerators (32 + 34 = 66) and keep the common denominator 136 unchanged.
Working: 32 + 34/136 = 66/136

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 66 and 136, which is 2. Divide both the numerator and denominator by 2.
Working: 66 ÷ 2/136 ÷ 2 = 33/68

Step 5: Decimal & Percentage Representation
Dividing the numerator 33 by denominator 68 produces a repeating decimal (approximately 0.485294, or 48.5294%).
Working: 33 ÷ 68 = 0.485294 (48.5294%)

Key Values:
- Simplified Fraction: 33/68
- Mixed Number Form: 33/68
- Decimal Value: 0.485294
- Percentage: 48.5294%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-17-plus-2-8/
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4/17 + 2/8 = 33/68

Simplified Fraction

33/68

Mixed Number

Proper (33/68)

Decimal Value

0.485294

Percentage

48.5294%

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

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

4 × 8/17 × 8 = 32/136 and 2 × 17/8 × 17 = 34/136

Step 3

Add the Numerators

Now add the numerators (32 + 34 = 66) and keep the common denominator 136 unchanged.

32 + 34/136 = 66/136

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 66 and 136, which is 2. Divide both the numerator and denominator by 2.

66 ÷ 2/136 ÷ 2 = 33/68

Step 5

Decimal & Percentage Representation

Dividing the numerator 33 by denominator 68 produces a repeating decimal (approximately 0.485294, or 48.5294%).

33 ÷ 68 = 0.485294 (48.5294%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`33/68`
Mixed Number Form	`33/68`
Decimal Form	`0.485294`
Percentage	`48.5294%`

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Frequently Asked Questions

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

4/17 + 2/8 in simplest fraction form is 33/68.

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

4/17 + 2/8 converted to a decimal is 0.485294.

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

4/17 + 2/8 expressed as a percentage is 48.5294%.

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

It results in a repeating decimal (approximately 0.485294...) because the denominator contains prime factors other than 2 and 5.