What is 2/16 plus 2/14? (Answer: 15/56)

Exact Answer

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Problem: What is 2/16 plus 2/14?
Formula / Expression: 2/16 + 2/14
Final Answer: 15/56
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 16 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 112 (which is smaller than their product 16 × 14 = 224, keeping the calculation simpler).
Working: LCD(16, 14) = 112

Step 2: Convert to Equivalent Fractions with Common Denominator 112
Multiply the numerator and denominator of 2/16 by 7, and multiply the numerator and denominator of 2/14 by 8 so both fractions share the common base 112.
Working: 2 × 7/16 × 7 = 14/112 and 2 × 8/14 × 8 = 16/112

Step 3: Add the Numerators
Now add the numerators (14 + 16 = 30) and keep the common denominator 112 unchanged.
Working: 14 + 16/112 = 30/112

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 30 and 112, which is 2. Divide both the numerator and denominator by 2.
Working: 30 ÷ 2/112 ÷ 2 = 15/56

Step 5: Decimal & Percentage Representation
Dividing the numerator 15 by denominator 56 produces a repeating decimal (approximately 0.267857, or 26.7857%).
Working: 15 ÷ 56 = 0.267857 (26.7857%)

Key Values:
- Simplified Fraction: 15/56
- Mixed Number Form: 15/56
- Decimal Value: 0.267857
- Percentage: 26.7857%

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Solved with FractionsCalc:
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2/16 + 2/14 = 15/56

Simplified Fraction

15/56

Mixed Number

Proper (15/56)

Decimal Value

0.267857

Percentage

26.7857%

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Step-by-Step Solution: 2/16 + 2/14

Step 1

Find the Least Common Denominator (LCD)

The denominators 16 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 112 (which is smaller than their product 16 × 14 = 224, keeping the calculation simpler).

LCD(16, 14) = 112

Step 2

Convert to Equivalent Fractions with Common Denominator 112

Multiply the numerator and denominator of 2/16 by 7, and multiply the numerator and denominator of 2/14 by 8 so both fractions share the common base 112.

2 × 7/16 × 7 = 14/112 and 2 × 8/14 × 8 = 16/112

Step 3

Add the Numerators

Now add the numerators (14 + 16 = 30) and keep the common denominator 112 unchanged.

14 + 16/112 = 30/112

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 30 and 112, which is 2. Divide both the numerator and denominator by 2.

30 ÷ 2/112 ÷ 2 = 15/56

Step 5

Decimal & Percentage Representation

Dividing the numerator 15 by denominator 56 produces a repeating decimal (approximately 0.267857, or 26.7857%).

15 ÷ 56 = 0.267857 (26.7857%)

Visual Representation

The diagram below illustrates 2/16 plus 2/14 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/56`
Mixed Number Form	`15/56`
Decimal Form	`0.267857`
Percentage	`26.7857%`

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Frequently Asked Questions

What is 2/16 plus 2/14 as a fraction?

2/16 + 2/14 in simplest fraction form is 15/56.

What is 2/16 plus 2/14 as a decimal?

2/16 + 2/14 converted to a decimal is 0.267857.

What is 2/16 plus 2/14 as a percentage?

2/16 + 2/14 expressed as a percentage is 26.7857%.

Does 2/16 plus 2/14 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.267857...) because the denominator contains prime factors other than 2 and 5.