What is 2/17 plus 8/9? (Answer: 154/153)

Exact Answer

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Problem: What is 2/17 plus 8/9?
Formula / Expression: 2/17 + 8/9
Final Answer: 1 1/153 (154/153)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 17 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 9 = 153.
Working: LCD(17, 9) = 153

Step 2: Convert to Equivalent Fractions with Common Denominator 153
Multiply the numerator and denominator of 2/17 by 9, and multiply the numerator and denominator of 8/9 by 17 so both fractions share the common base 153.
Working: 2 × 9/17 × 9 = 18/153 and 8 × 17/9 × 17 = 136/153

Step 3: Add the Numerators
Now add the numerators (18 + 136 = 154) and keep the common denominator 153 unchanged.
Working: 18 + 136/153 = 154/153

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 154 and 153 is 1, confirming that 154/153 cannot be reduced further—it is already in its simplest irreducible form.
Working: 154/153

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (154) is greater than the denominator (153), divide 154 by 153: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/153.
Working: 154/153 = 1 1/153

Step 6: Decimal & Percentage Representation
Dividing the numerator 154 by denominator 153 produces a repeating decimal (approximately 1.006536, or 100.6536%).
Working: 154 ÷ 153 = 1.006536 (100.6536%)

Key Values:
- Simplified Fraction: 154/153
- Mixed Number Form: 1 1/153
- Decimal Value: 1.006536
- Percentage: 100.6536%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-17-plus-8-9/
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2/17 + 8/9 = 154/153

Simplified Fraction

154/153

Mixed Number

1 1/153

Decimal Value

1.006536

Percentage

100.6536%

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Step-by-Step Solution: 2/17 + 8/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 17 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 9 = 153.

LCD(17, 9) = 153

Step 2

Convert to Equivalent Fractions with Common Denominator 153

Multiply the numerator and denominator of 2/17 by 9, and multiply the numerator and denominator of 8/9 by 17 so both fractions share the common base 153.

2 × 9/17 × 9 = 18/153 and 8 × 17/9 × 17 = 136/153

Step 3

Add the Numerators

Now add the numerators (18 + 136 = 154) and keep the common denominator 153 unchanged.

18 + 136/153 = 154/153

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 154 and 153 is 1, confirming that 154/153 cannot be reduced further—it is already in its simplest irreducible form.

154/153

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (154) is greater than the denominator (153), divide 154 by 153: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/153.

154/153 = 11/153

Step 6

Decimal & Percentage Representation

Dividing the numerator 154 by denominator 153 produces a repeating decimal (approximately 1.006536, or 100.6536%).

154 ÷ 153 = 1.006536 (100.6536%)

Visual Representation

The diagram below illustrates 2/17 plus 8/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`154/153`
Mixed Number Form	`1 1/153`
Decimal Form	`1.006536`
Percentage	`100.6536%`

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Frequently Asked Questions

What is 2/17 plus 8/9 as a fraction?

2/17 + 8/9 in simplest fraction form is 154/153 (or 1 1/153 as a mixed number).

What is 2/17 plus 8/9 as a decimal?

2/17 + 8/9 converted to a decimal is 1.006536.

What is 2/17 plus 8/9 as a percentage?

2/17 + 8/9 expressed as a percentage is 100.6536%.

How do you write 2/17 plus 8/9 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 154/153 can be written as the mixed number 1 1/153.

Does 2/17 plus 8/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.006536...) because the denominator contains prime factors other than 2 and 5.