What is 2/19 plus 2/6? (Answer: 25/57)

Exact Answer

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Problem: What is 2/19 plus 2/6?
Formula / Expression: 2/19 + 2/6
Final Answer: 25/57
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 19 and 6 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 19 × 6 = 114.
Working: LCD(19, 6) = 114

Step 2: Convert to Equivalent Fractions with Common Denominator 114
Multiply the numerator and denominator of 2/19 by 6, and multiply the numerator and denominator of 2/6 by 19 so both fractions share the common base 114.
Working: 2 × 6/19 × 6 = 12/114 and 2 × 19/6 × 19 = 38/114

Step 3: Add the Numerators
Now add the numerators (12 + 38 = 50) and keep the common denominator 114 unchanged.
Working: 12 + 38/114 = 50/114

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 114, which is 2. Divide both the numerator and denominator by 2.
Working: 50 ÷ 2/114 ÷ 2 = 25/57

Step 5: Decimal & Percentage Representation
Dividing the numerator 25 by denominator 57 produces a repeating decimal (approximately 0.438596, or 43.8596%).
Working: 25 ÷ 57 = 0.438596 (43.8596%)

Key Values:
- Simplified Fraction: 25/57
- Mixed Number Form: 25/57
- Decimal Value: 0.438596
- Percentage: 43.8596%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-19-plus-2-6/
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2/19 + 2/6 = 25/57

Simplified Fraction

25/57

Mixed Number

Proper (25/57)

Decimal Value

0.438596

Percentage

43.8596%

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Step-by-Step Solution: 2/19 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 19 and 6 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 19 × 6 = 114.

LCD(19, 6) = 114

Step 2

Convert to Equivalent Fractions with Common Denominator 114

Multiply the numerator and denominator of 2/19 by 6, and multiply the numerator and denominator of 2/6 by 19 so both fractions share the common base 114.

2 × 6/19 × 6 = 12/114 and 2 × 19/6 × 19 = 38/114

Step 3

Add the Numerators

Now add the numerators (12 + 38 = 50) and keep the common denominator 114 unchanged.

12 + 38/114 = 50/114

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 114, which is 2. Divide both the numerator and denominator by 2.

50 ÷ 2/114 ÷ 2 = 25/57

Step 5

Decimal & Percentage Representation

Dividing the numerator 25 by denominator 57 produces a repeating decimal (approximately 0.438596, or 43.8596%).

25 ÷ 57 = 0.438596 (43.8596%)

Visual Representation

The diagram below illustrates 2/19 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/57`
Mixed Number Form	`25/57`
Decimal Form	`0.438596`
Percentage	`43.8596%`

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Frequently Asked Questions

What is 2/19 plus 2/6 as a fraction?

2/19 + 2/6 in simplest fraction form is 25/57.

What is 2/19 plus 2/6 as a decimal?

2/19 + 2/6 converted to a decimal is 0.438596.

What is 2/19 plus 2/6 as a percentage?

2/19 + 2/6 expressed as a percentage is 43.8596%.

Does 2/19 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.438596...) because the denominator contains prime factors other than 2 and 5.