What is 2/8 plus 9/14? (Answer: 25/28)

Exact Answer

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Problem: What is 2/8 plus 9/14?
Formula / Expression: 2/8 + 9/14
Final Answer: 25/28
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 56 (which is smaller than their product 8 × 14 = 112, keeping the calculation simpler).
Working: LCD(8, 14) = 56

Step 2: Convert to Equivalent Fractions with Common Denominator 56
Multiply the numerator and denominator of 2/8 by 7, and multiply the numerator and denominator of 9/14 by 4 so both fractions share the common base 56.
Working: 2 × 7/8 × 7 = 14/56 and 9 × 4/14 × 4 = 36/56

Step 3: Add the Numerators
Now add the numerators (14 + 36 = 50) and keep the common denominator 56 unchanged.
Working: 14 + 36/56 = 50/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 56, which is 2. Divide both the numerator and denominator by 2.
Working: 50 ÷ 2/56 ÷ 2 = 25/28

Step 5: Decimal & Percentage Representation
Dividing the numerator 25 by denominator 28 produces a repeating decimal (approximately 0.892857, or 89.2857%).
Working: 25 ÷ 28 = 0.892857 (89.2857%)

Key Values:
- Simplified Fraction: 25/28
- Mixed Number Form: 25/28
- Decimal Value: 0.892857
- Percentage: 89.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-14/
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2/8 + 9/14 = 25/28

Simplified Fraction

25/28

Mixed Number

Proper (25/28)

Decimal Value

0.892857

Percentage

89.2857%

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Step-by-Step Solution: 2/8 + 9/14

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 56 (which is smaller than their product 8 × 14 = 112, keeping the calculation simpler).

LCD(8, 14) = 56

Step 2

Convert to Equivalent Fractions with Common Denominator 56

Multiply the numerator and denominator of 2/8 by 7, and multiply the numerator and denominator of 9/14 by 4 so both fractions share the common base 56.

2 × 7/8 × 7 = 14/56 and 9 × 4/14 × 4 = 36/56

Step 3

Add the Numerators

Now add the numerators (14 + 36 = 50) and keep the common denominator 56 unchanged.

14 + 36/56 = 50/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 56, which is 2. Divide both the numerator and denominator by 2.

50 ÷ 2/56 ÷ 2 = 25/28

Step 5

Decimal & Percentage Representation

Dividing the numerator 25 by denominator 28 produces a repeating decimal (approximately 0.892857, or 89.2857%).

25 ÷ 28 = 0.892857 (89.2857%)

Visual Representation

The diagram below illustrates 2/8 plus 9/14 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/28`
Mixed Number Form	`25/28`
Decimal Form	`0.892857`
Percentage	`89.2857%`

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Frequently Asked Questions

What is 2/8 plus 9/14 as a fraction?

2/8 + 9/14 in simplest fraction form is 25/28.

What is 2/8 plus 9/14 as a decimal?

2/8 + 9/14 converted to a decimal is 0.892857.

What is 2/8 plus 9/14 as a percentage?

2/8 + 9/14 expressed as a percentage is 89.2857%.

Does 2/8 plus 9/14 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.892857...) because the denominator contains prime factors other than 2 and 5.