What is 2/14 plus 2/7? (Answer: 3/7)

Exact Answer

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Problem: What is 2/14 plus 2/7?
Formula / Expression: 2/14 + 2/7
Final Answer: 3/7
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 14 is an exact multiple of 7 (7 × 2 = 14). The Least Common Denominator (LCD) is simply 14, meaning we only need to scale one fraction.
Working: LCD(14, 7) = 14

Step 2: Convert to Equivalent Fractions with Common Denominator 14
Multiply the numerator and denominator of 2/14 by 1, and multiply the numerator and denominator of 2/7 by 2 so both fractions share the common base 14.
Working: 2 × 1/14 × 1 = 2/14 and 2 × 2/7 × 2 = 4/14

Step 3: Add the Numerators
Now add the numerators (2 + 4 = 6) and keep the common denominator 14 unchanged.
Working: 2 + 4/14 = 6/14

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 14, which is 2. Divide both the numerator and denominator by 2.
Working: 6 ÷ 2/14 ÷ 2 = 3/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 7 produces a repeating decimal (approximately 0.428571, or 42.8571%).
Working: 3 ÷ 7 = 0.428571 (42.8571%)

Key Values:
- Simplified Fraction: 3/7
- Mixed Number Form: 3/7
- Decimal Value: 0.428571
- Percentage: 42.8571%

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Solved with FractionsCalc:
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2/14 + 2/7 = 3/7

Simplified Fraction

3/7

Mixed Number

Proper (3/7)

Decimal Value

0.428571

Percentage

42.8571%

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Step-by-Step Solution: 2/14 + 2/7

Step 1

Find the Least Common Denominator (LCD)

Notice that 14 is an exact multiple of 7 (7 × 2 = 14). The Least Common Denominator (LCD) is simply 14, meaning we only need to scale one fraction.

LCD(14, 7) = 14

Step 2

Convert to Equivalent Fractions with Common Denominator 14

Multiply the numerator and denominator of 2/14 by 1, and multiply the numerator and denominator of 2/7 by 2 so both fractions share the common base 14.

2 × 1/14 × 1 = 2/14 and 2 × 2/7 × 2 = 4/14

Step 3

Add the Numerators

Now add the numerators (2 + 4 = 6) and keep the common denominator 14 unchanged.

2 + 4/14 = 6/14

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 6 and 14, which is 2. Divide both the numerator and denominator by 2.

6 ÷ 2/14 ÷ 2 = 3/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 7 produces a repeating decimal (approximately 0.428571, or 42.8571%).

3 ÷ 7 = 0.428571 (42.8571%)

Visual Representation

The diagram below illustrates 2/14 plus 2/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/7`
Mixed Number Form	`3/7`
Decimal Form	`0.428571`
Percentage	`42.8571%`

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Frequently Asked Questions

What is 2/14 plus 2/7 as a fraction?

2/14 + 2/7 in simplest fraction form is 3/7.

What is 2/14 plus 2/7 as a decimal?

2/14 + 2/7 converted to a decimal is 0.428571.

What is 2/14 plus 2/7 as a percentage?

2/14 + 2/7 expressed as a percentage is 42.8571%.

Does 2/14 plus 2/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.428571...) because the denominator contains prime factors other than 2 and 5.