What is 1/14 plus 2/4? (Answer: 4/7)

Exact Answer

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Problem: What is 1/14 plus 2/4?
Formula / Expression: 1/14 + 2/4
Final Answer: 4/7
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 14 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 28 (which is smaller than their product 14 × 4 = 56, keeping the calculation simpler).
Working: LCD(14, 4) = 28

Step 2: Convert to Equivalent Fractions with Common Denominator 28
Multiply the numerator and denominator of 1/14 by 2, and multiply the numerator and denominator of 2/4 by 7 so both fractions share the common base 28.
Working: 1 × 2/14 × 2 = 2/28 and 2 × 7/4 × 7 = 14/28

Step 3: Add the Numerators
Now add the numerators (2 + 14 = 16) and keep the common denominator 28 unchanged.
Working: 2 + 14/28 = 16/28

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 28, which is 4. Divide both the numerator and denominator by 4.
Working: 16 ÷ 4/28 ÷ 4 = 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-1-14-plus-2-4/
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1/14 + 2/4 = 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: 1/14 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 14 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 28 (which is smaller than their product 14 × 4 = 56, keeping the calculation simpler).

LCD(14, 4) = 28

Step 2

Convert to Equivalent Fractions with Common Denominator 28

Multiply the numerator and denominator of 1/14 by 2, and multiply the numerator and denominator of 2/4 by 7 so both fractions share the common base 28.

1 × 2/14 × 2 = 2/28 and 2 × 7/4 × 7 = 14/28

Step 3

Add the Numerators

Now add the numerators (2 + 14 = 16) and keep the common denominator 28 unchanged.

2 + 14/28 = 16/28

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 16 and 28, which is 4. Divide both the numerator and denominator by 4.

16 ÷ 4/28 ÷ 4 = 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 1/14 plus 2/4 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 1/14 plus 2/4 as a fraction?

1/14 + 2/4 in simplest fraction form is 4/7.

What is 1/14 plus 2/4 as a decimal?

1/14 + 2/4 converted to a decimal is 0.571429.

What is 1/14 plus 2/4 as a percentage?

1/14 + 2/4 expressed as a percentage is 57.1429%.

Does 1/14 plus 2/4 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.