What is 2/6 plus 9/17? (Answer: 44/51)

Exact Answer

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Problem: What is 2/6 plus 9/17?
Formula / Expression: 2/6 + 9/17
Final Answer: 44/51
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 6 and 17 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 6 × 17 = 102.
Working: LCD(6, 17) = 102

Step 2: Convert to Equivalent Fractions with Common Denominator 102
Multiply the numerator and denominator of 2/6 by 17, and multiply the numerator and denominator of 9/17 by 6 so both fractions share the common base 102.
Working: 2 × 17/6 × 17 = 34/102 and 9 × 6/17 × 6 = 54/102

Step 3: Add the Numerators
Now add the numerators (34 + 54 = 88) and keep the common denominator 102 unchanged.
Working: 34 + 54/102 = 88/102

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 88 and 102, which is 2. Divide both the numerator and denominator by 2.
Working: 88 ÷ 2/102 ÷ 2 = 44/51

Step 5: Decimal & Percentage Representation
Dividing the numerator 44 by denominator 51 produces a repeating decimal (approximately 0.862745, or 86.2745%).
Working: 44 ÷ 51 = 0.862745 (86.2745%)

Key Values:
- Simplified Fraction: 44/51
- Mixed Number Form: 44/51
- Decimal Value: 0.862745
- Percentage: 86.2745%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-6-plus-9-17/
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2/6 + 9/17 = 44/51

Simplified Fraction

44/51

Mixed Number

Proper (44/51)

Decimal Value

0.862745

Percentage

86.2745%

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Step-by-Step Solution: 2/6 + 9/17

Step 1

Find the Least Common Denominator (LCD)

The denominators 6 and 17 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 6 × 17 = 102.

LCD(6, 17) = 102

Step 2

Convert to Equivalent Fractions with Common Denominator 102

Multiply the numerator and denominator of 2/6 by 17, and multiply the numerator and denominator of 9/17 by 6 so both fractions share the common base 102.

2 × 17/6 × 17 = 34/102 and 9 × 6/17 × 6 = 54/102

Step 3

Add the Numerators

Now add the numerators (34 + 54 = 88) and keep the common denominator 102 unchanged.

34 + 54/102 = 88/102

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 88 and 102, which is 2. Divide both the numerator and denominator by 2.

88 ÷ 2/102 ÷ 2 = 44/51

Step 5

Decimal & Percentage Representation

Dividing the numerator 44 by denominator 51 produces a repeating decimal (approximately 0.862745, or 86.2745%).

44 ÷ 51 = 0.862745 (86.2745%)

Visual Representation

The diagram below illustrates 2/6 plus 9/17 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`44/51`
Mixed Number Form	`44/51`
Decimal Form	`0.862745`
Percentage	`86.2745%`

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Frequently Asked Questions

What is 2/6 plus 9/17 as a fraction?

2/6 + 9/17 in simplest fraction form is 44/51.

What is 2/6 plus 9/17 as a decimal?

2/6 + 9/17 converted to a decimal is 0.862745.

What is 2/6 plus 9/17 as a percentage?

2/6 + 9/17 expressed as a percentage is 86.2745%.

Does 2/6 plus 9/17 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.862745...) because the denominator contains prime factors other than 2 and 5.