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

Exact Answer

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

Step 1: Find the Least Common Denominator (LCD)
The denominators 28 and 8 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 56 (which is smaller than their product 28 × 8 = 224, keeping the calculation simpler).
Working: LCD(28, 8) = 56

Step 2: Convert to Equivalent Fractions with Common Denominator 56
Multiply the numerator and denominator of 2/28 by 2, and multiply the numerator and denominator of 2/8 by 7 so both fractions share the common base 56.
Working: 2 × 2/28 × 2 = 4/56 and 2 × 7/8 × 7 = 14/56

Step 3: Add the Numerators
Now add the numerators (4 + 14 = 18) and keep the common denominator 56 unchanged.
Working: 4 + 14/56 = 18/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 18 and 56, which is 2. Divide both the numerator and denominator by 2.
Working: 18 ÷ 2/56 ÷ 2 = 9/28

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 28 produces a repeating decimal (approximately 0.321429, or 32.1429%).
Working: 9 ÷ 28 = 0.321429 (32.1429%)

Key Values:
- Simplified Fraction: 9/28
- Mixed Number Form: 9/28
- Decimal Value: 0.321429
- Percentage: 32.1429%

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

Simplified Fraction

9/28

Mixed Number

Proper (9/28)

Decimal Value

0.321429

Percentage

32.1429%

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Step-by-Step Solution: 2/28 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 28 and 8 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 56 (which is smaller than their product 28 × 8 = 224, keeping the calculation simpler).

LCD(28, 8) = 56

Step 2

Convert to Equivalent Fractions with Common Denominator 56

Multiply the numerator and denominator of 2/28 by 2, and multiply the numerator and denominator of 2/8 by 7 so both fractions share the common base 56.

2 × 2/28 × 2 = 4/56 and 2 × 7/8 × 7 = 14/56

Step 3

Add the Numerators

Now add the numerators (4 + 14 = 18) and keep the common denominator 56 unchanged.

4 + 14/56 = 18/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 18 and 56, which is 2. Divide both the numerator and denominator by 2.

18 ÷ 2/56 ÷ 2 = 9/28

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 28 produces a repeating decimal (approximately 0.321429, or 32.1429%).

9 ÷ 28 = 0.321429 (32.1429%)

Visual Representation

The diagram below illustrates 2/28 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/28`
Mixed Number Form	`9/28`
Decimal Form	`0.321429`
Percentage	`32.1429%`

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Frequently Asked Questions

What is 2/28 plus 2/8 as a fraction?

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

What is 2/28 plus 2/8 as a decimal?

2/28 + 2/8 converted to a decimal is 0.321429.

What is 2/28 plus 2/8 as a percentage?

2/28 + 2/8 expressed as a percentage is 32.1429%.

Does 2/28 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.321429...) because the denominator contains prime factors other than 2 and 5.