What is 5/14 plus 2/4? (Answer: 6/7)

Exact Answer

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Problem: What is 5/14 plus 2/4?
Formula / Expression: 5/14 + 2/4
Final Answer: 6/7
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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 5/14 by 2, and multiply the numerator and denominator of 2/4 by 7 so both fractions share the common base 28.
Working: 5 × 2/14 × 2 = 10/28 and 2 × 7/4 × 7 = 14/28

Step 3: Add the Numerators
Now add the numerators (10 + 14 = 24) and keep the common denominator 28 unchanged.
Working: 10 + 14/28 = 24/28

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 24 and 28, which is 4. Divide both the numerator and denominator by 4.
Working: 24 ÷ 4/28 ÷ 4 = 6/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).
Working: 6 ÷ 7 = 0.857143 (85.7143%)

Key Values:
- Simplified Fraction: 6/7
- Mixed Number Form: 6/7
- Decimal Value: 0.857143
- Percentage: 85.7143%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-14-plus-2-4/
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5/14 + 2/4 = 6/7

Simplified Fraction

6/7

Mixed Number

Proper (6/7)

Decimal Value

0.857143

Percentage

85.7143%

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Step-by-Step Solution: 5/14 + 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 5/14 by 2, and multiply the numerator and denominator of 2/4 by 7 so both fractions share the common base 28.

5 × 2/14 × 2 = 10/28 and 2 × 7/4 × 7 = 14/28

Step 3

Add the Numerators

Now add the numerators (10 + 14 = 24) and keep the common denominator 28 unchanged.

10 + 14/28 = 24/28

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 24 and 28, which is 4. Divide both the numerator and denominator by 4.

24 ÷ 4/28 ÷ 4 = 6/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).

6 ÷ 7 = 0.857143 (85.7143%)

Visual Representation

The diagram below illustrates 5/14 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/7`
Mixed Number Form	`6/7`
Decimal Form	`0.857143`
Percentage	`85.7143%`

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Frequently Asked Questions

What is 5/14 plus 2/4 as a fraction?

5/14 + 2/4 in simplest fraction form is 6/7.

What is 5/14 plus 2/4 as a decimal?

5/14 + 2/4 converted to a decimal is 0.857143.

What is 5/14 plus 2/4 as a percentage?

5/14 + 2/4 expressed as a percentage is 85.7143%.

Does 5/14 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.857143...) because the denominator contains prime factors other than 2 and 5.