What is 2/28 plus 3/9? (Answer: 17/42)

Exact Answer

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Problem: What is 2/28 plus 3/9?
Formula / Expression: 2/28 + 3/9
Final Answer: 17/42
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 28 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 28 × 9 = 252.
Working: LCD(28, 9) = 252

Step 2: Convert to Equivalent Fractions with Common Denominator 252
Multiply the numerator and denominator of 2/28 by 9, and multiply the numerator and denominator of 3/9 by 28 so both fractions share the common base 252.
Working: 2 × 9/28 × 9 = 18/252 and 3 × 28/9 × 28 = 84/252

Step 3: Add the Numerators
Now add the numerators (18 + 84 = 102) and keep the common denominator 252 unchanged.
Working: 18 + 84/252 = 102/252

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 102 and 252, which is 6. Divide both the numerator and denominator by 6.
Working: 102 ÷ 6/252 ÷ 6 = 17/42

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 42 produces a repeating decimal (approximately 0.404762, or 40.4762%).
Working: 17 ÷ 42 = 0.404762 (40.4762%)

Key Values:
- Simplified Fraction: 17/42
- Mixed Number Form: 17/42
- Decimal Value: 0.404762
- Percentage: 40.4762%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-28-plus-3-9/
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2/28 + 3/9 = 17/42

Simplified Fraction

17/42

Mixed Number

Proper (17/42)

Decimal Value

0.404762

Percentage

40.4762%

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Step-by-Step Solution: 2/28 + 3/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 28 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 28 × 9 = 252.

LCD(28, 9) = 252

Step 2

Convert to Equivalent Fractions with Common Denominator 252

Multiply the numerator and denominator of 2/28 by 9, and multiply the numerator and denominator of 3/9 by 28 so both fractions share the common base 252.

2 × 9/28 × 9 = 18/252 and 3 × 28/9 × 28 = 84/252

Step 3

Add the Numerators

Now add the numerators (18 + 84 = 102) and keep the common denominator 252 unchanged.

18 + 84/252 = 102/252

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 102 and 252, which is 6. Divide both the numerator and denominator by 6.

102 ÷ 6/252 ÷ 6 = 17/42

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 42 produces a repeating decimal (approximately 0.404762, or 40.4762%).

17 ÷ 42 = 0.404762 (40.4762%)

Visual Representation

The diagram below illustrates 2/28 plus 3/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/42`
Mixed Number Form	`17/42`
Decimal Form	`0.404762`
Percentage	`40.4762%`

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Frequently Asked Questions

What is 2/28 plus 3/9 as a fraction?

2/28 + 3/9 in simplest fraction form is 17/42.

What is 2/28 plus 3/9 as a decimal?

2/28 + 3/9 converted to a decimal is 0.404762.

What is 2/28 plus 3/9 as a percentage?

2/28 + 3/9 expressed as a percentage is 40.4762%.

Does 2/28 plus 3/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.404762...) because the denominator contains prime factors other than 2 and 5.