What is 2/8 plus 7/17? (Answer: 45/68)

Exact Answer

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Problem: What is 2/8 plus 7/17?
Formula / Expression: 2/8 + 7/17
Final Answer: 45/68
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 17 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 17 = 136.
Working: LCD(8, 17) = 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 7/17 by 8 so both fractions share the common base 136.
Working: 2 × 17/8 × 17 = 34/136 and 7 × 8/17 × 8 = 56/136

Step 3: Add the Numerators
Now add the numerators (34 + 56 = 90) and keep the common denominator 136 unchanged.
Working: 34 + 56/136 = 90/136

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 90 and 136, which is 2. Divide both the numerator and denominator by 2.
Working: 90 ÷ 2/136 ÷ 2 = 45/68

Step 5: Decimal & Percentage Representation
Dividing the numerator 45 by denominator 68 produces a repeating decimal (approximately 0.661765, or 66.1765%).
Working: 45 ÷ 68 = 0.661765 (66.1765%)

Key Values:
- Simplified Fraction: 45/68
- Mixed Number Form: 45/68
- Decimal Value: 0.661765
- Percentage: 66.1765%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-7-17/
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2/8 + 7/17 = 45/68

Simplified Fraction

45/68

Mixed Number

Proper (45/68)

Decimal Value

0.661765

Percentage

66.1765%

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Step-by-Step Solution: 2/8 + 7/17

Step 1

Find the Least Common Denominator (LCD)

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

LCD(8, 17) = 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 7/17 by 8 so both fractions share the common base 136.

2 × 17/8 × 17 = 34/136 and 7 × 8/17 × 8 = 56/136

Step 3

Add the Numerators

Now add the numerators (34 + 56 = 90) and keep the common denominator 136 unchanged.

34 + 56/136 = 90/136

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 90 and 136, which is 2. Divide both the numerator and denominator by 2.

90 ÷ 2/136 ÷ 2 = 45/68

Step 5

Decimal & Percentage Representation

Dividing the numerator 45 by denominator 68 produces a repeating decimal (approximately 0.661765, or 66.1765%).

45 ÷ 68 = 0.661765 (66.1765%)

Visual Representation

The diagram below illustrates 2/8 plus 7/17 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`45/68`
Mixed Number Form	`45/68`
Decimal Form	`0.661765`
Percentage	`66.1765%`

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Frequently Asked Questions

What is 2/8 plus 7/17 as a fraction?

2/8 + 7/17 in simplest fraction form is 45/68.

What is 2/8 plus 7/17 as a decimal?

2/8 + 7/17 converted to a decimal is 0.661765.

What is 2/8 plus 7/17 as a percentage?

2/8 + 7/17 expressed as a percentage is 66.1765%.

Does 2/8 plus 7/17 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.661765...) because the denominator contains prime factors other than 2 and 5.