What is 2/7 plus 4/14? (Answer: 4/7)

Exact Answer

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Problem: What is 2/7 plus 4/14?
Formula / Expression: 2/7 + 4/14
Final Answer: 4/7
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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(7, 14) = 14

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

Step 3: Add the Numerators
Now add the numerators (4 + 4 = 8) and keep the common denominator 14 unchanged.
Working: 4 + 4/14 = 8/14

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 14, which is 2. Divide both the numerator and denominator by 2.
Working: 8 ÷ 2/14 ÷ 2 = 4/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 7 produces a repeating decimal (approximately 0.571429, or 57.1429%).
Working: 4 ÷ 7 = 0.571429 (57.1429%)

Key Values:
- Simplified Fraction: 4/7
- Mixed Number Form: 4/7
- Decimal Value: 0.571429
- Percentage: 57.1429%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-7-plus-4-14/
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2/7 + 4/14 = 4/7

Simplified Fraction

4/7

Mixed Number

Proper (4/7)

Decimal Value

0.571429

Percentage

57.1429%

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Step-by-Step Solution: 2/7 + 4/14

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(7, 14) = 14

Step 2

Convert to Equivalent Fractions with Common Denominator 14

Multiply the numerator and denominator of 2/7 by 2, and multiply the numerator and denominator of 4/14 by 1 so both fractions share the common base 14.

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

Step 3

Add the Numerators

Now add the numerators (4 + 4 = 8) and keep the common denominator 14 unchanged.

4 + 4/14 = 8/14

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 8 and 14, which is 2. Divide both the numerator and denominator by 2.

8 ÷ 2/14 ÷ 2 = 4/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 7 produces a repeating decimal (approximately 0.571429, or 57.1429%).

4 ÷ 7 = 0.571429 (57.1429%)

Visual Representation

The diagram below illustrates 2/7 plus 4/14 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/7`
Mixed Number Form	`4/7`
Decimal Form	`0.571429`
Percentage	`57.1429%`

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Frequently Asked Questions

What is 2/7 plus 4/14 as a fraction?

2/7 + 4/14 in simplest fraction form is 4/7.

What is 2/7 plus 4/14 as a decimal?

2/7 + 4/14 converted to a decimal is 0.571429.

What is 2/7 plus 4/14 as a percentage?

2/7 + 4/14 expressed as a percentage is 57.1429%.

Does 2/7 plus 4/14 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.571429...) because the denominator contains prime factors other than 2 and 5.