What is 2/35 plus 2/9? (Answer: 88/315)

Exact Answer

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Problem: What is 2/35 plus 2/9?
Formula / Expression: 2/35 + 2/9
Final Answer: 88/315
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 35 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 9 = 315.
Working: LCD(35, 9) = 315

Step 2: Convert to Equivalent Fractions with Common Denominator 315
Multiply the numerator and denominator of 2/35 by 9, and multiply the numerator and denominator of 2/9 by 35 so both fractions share the common base 315.
Working: 2 × 9/35 × 9 = 18/315 and 2 × 35/9 × 35 = 70/315

Step 3: Add the Numerators
Now add the numerators (18 + 70 = 88) and keep the common denominator 315 unchanged.
Working: 18 + 70/315 = 88/315

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 88 and 315 is 1, confirming that 88/315 cannot be reduced further—it is already in its simplest irreducible form.
Working: 88/315

Step 5: Decimal & Percentage Representation
Dividing the numerator 88 by denominator 315 produces a repeating decimal (approximately 0.279365, or 27.9365%).
Working: 88 ÷ 315 = 0.279365 (27.9365%)

Key Values:
- Simplified Fraction: 88/315
- Mixed Number Form: 88/315
- Decimal Value: 0.279365
- Percentage: 27.9365%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-35-plus-2-9/
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2/35 + 2/9 = 88/315

Simplified Fraction

88/315

Mixed Number

Proper (88/315)

Decimal Value

0.279365

Percentage

27.9365%

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Step-by-Step Solution: 2/35 + 2/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 35 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 9 = 315.

LCD(35, 9) = 315

Step 2

Convert to Equivalent Fractions with Common Denominator 315

Multiply the numerator and denominator of 2/35 by 9, and multiply the numerator and denominator of 2/9 by 35 so both fractions share the common base 315.

2 × 9/35 × 9 = 18/315 and 2 × 35/9 × 35 = 70/315

Step 3

Add the Numerators

Now add the numerators (18 + 70 = 88) and keep the common denominator 315 unchanged.

18 + 70/315 = 88/315

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 88 and 315 is 1, confirming that 88/315 cannot be reduced further—it is already in its simplest irreducible form.

88/315

Step 5

Decimal & Percentage Representation

Dividing the numerator 88 by denominator 315 produces a repeating decimal (approximately 0.279365, or 27.9365%).

88 ÷ 315 = 0.279365 (27.9365%)

Visual Representation

The diagram below illustrates 2/35 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`88/315`
Mixed Number Form	`88/315`
Decimal Form	`0.279365`
Percentage	`27.9365%`

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Frequently Asked Questions

What is 2/35 plus 2/9 as a fraction?

2/35 + 2/9 in simplest fraction form is 88/315.

What is 2/35 plus 2/9 as a decimal?

2/35 + 2/9 converted to a decimal is 0.279365.

What is 2/35 plus 2/9 as a percentage?

2/35 + 2/9 expressed as a percentage is 27.9365%.

Does 2/35 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.279365...) because the denominator contains prime factors other than 2 and 5.