What is 5/17 plus 3/9? (Answer: 32/51)

Exact Answer

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Problem: What is 5/17 plus 3/9?
Formula / Expression: 5/17 + 3/9
Final Answer: 32/51
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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 5/17 by 9, and multiply the numerator and denominator of 3/9 by 17 so both fractions share the common base 153.
Working: 5 × 9/17 × 9 = 45/153 and 3 × 17/9 × 17 = 51/153

Step 3: Add the Numerators
Now add the numerators (45 + 51 = 96) and keep the common denominator 153 unchanged.
Working: 45 + 51/153 = 96/153

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 96 and 153, which is 3. Divide both the numerator and denominator by 3.
Working: 96 ÷ 3/153 ÷ 3 = 32/51

Step 5: Decimal & Percentage Representation
Dividing the numerator 32 by denominator 51 produces a repeating decimal (approximately 0.627451, or 62.7451%).
Working: 32 ÷ 51 = 0.627451 (62.7451%)

Key Values:
- Simplified Fraction: 32/51
- Mixed Number Form: 32/51
- Decimal Value: 0.627451
- Percentage: 62.7451%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-17-plus-3-9/
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5/17 + 3/9 = 32/51

Simplified Fraction

32/51

Mixed Number

Proper (32/51)

Decimal Value

0.627451

Percentage

62.7451%

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Step-by-Step Solution: 5/17 + 3/9

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 5/17 by 9, and multiply the numerator and denominator of 3/9 by 17 so both fractions share the common base 153.

5 × 9/17 × 9 = 45/153 and 3 × 17/9 × 17 = 51/153

Step 3

Add the Numerators

Now add the numerators (45 + 51 = 96) and keep the common denominator 153 unchanged.

45 + 51/153 = 96/153

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 96 and 153, which is 3. Divide both the numerator and denominator by 3.

96 ÷ 3/153 ÷ 3 = 32/51

Step 5

Decimal & Percentage Representation

Dividing the numerator 32 by denominator 51 produces a repeating decimal (approximately 0.627451, or 62.7451%).

32 ÷ 51 = 0.627451 (62.7451%)

Visual Representation

The diagram below illustrates 5/17 plus 3/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`32/51`
Mixed Number Form	`32/51`
Decimal Form	`0.627451`
Percentage	`62.7451%`

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Frequently Asked Questions

What is 5/17 plus 3/9 as a fraction?

5/17 + 3/9 in simplest fraction form is 32/51.

What is 5/17 plus 3/9 as a decimal?

5/17 + 3/9 converted to a decimal is 0.627451.

What is 5/17 plus 3/9 as a percentage?

5/17 + 3/9 expressed as a percentage is 62.7451%.

Does 5/17 plus 3/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.627451...) because the denominator contains prime factors other than 2 and 5.