What is 2/28 plus 2/22? (Answer: 25/154)

Exact Answer

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Problem: What is 2/28 plus 2/22?
Formula / Expression: 2/28 + 2/22
Final Answer: 25/154
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 28 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 308 (which is smaller than their product 28 × 22 = 616, keeping the calculation simpler).
Working: LCD(28, 22) = 308

Step 2: Convert to Equivalent Fractions with Common Denominator 308
Multiply the numerator and denominator of 2/28 by 11, and multiply the numerator and denominator of 2/22 by 14 so both fractions share the common base 308.
Working: 2 × 11/28 × 11 = 22/308 and 2 × 14/22 × 14 = 28/308

Step 3: Add the Numerators
Now add the numerators (22 + 28 = 50) and keep the common denominator 308 unchanged.
Working: 22 + 28/308 = 50/308

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 308, which is 2. Divide both the numerator and denominator by 2.
Working: 50 ÷ 2/308 ÷ 2 = 25/154

Step 5: Decimal & Percentage Representation
Dividing the numerator 25 by denominator 154 produces a repeating decimal (approximately 0.162338, or 16.2338%).
Working: 25 ÷ 154 = 0.162338 (16.2338%)

Key Values:
- Simplified Fraction: 25/154
- Mixed Number Form: 25/154
- Decimal Value: 0.162338
- Percentage: 16.2338%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-28-plus-2-22/
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2/28 + 2/22 = 25/154

Simplified Fraction

25/154

Mixed Number

Proper (25/154)

Decimal Value

0.162338

Percentage

16.2338%

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Step-by-Step Solution: 2/28 + 2/22

Step 1

Find the Least Common Denominator (LCD)

The denominators 28 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 308 (which is smaller than their product 28 × 22 = 616, keeping the calculation simpler).

LCD(28, 22) = 308

Step 2

Convert to Equivalent Fractions with Common Denominator 308

Multiply the numerator and denominator of 2/28 by 11, and multiply the numerator and denominator of 2/22 by 14 so both fractions share the common base 308.

2 × 11/28 × 11 = 22/308 and 2 × 14/22 × 14 = 28/308

Step 3

Add the Numerators

Now add the numerators (22 + 28 = 50) and keep the common denominator 308 unchanged.

22 + 28/308 = 50/308

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 308, which is 2. Divide both the numerator and denominator by 2.

50 ÷ 2/308 ÷ 2 = 25/154

Step 5

Decimal & Percentage Representation

Dividing the numerator 25 by denominator 154 produces a repeating decimal (approximately 0.162338, or 16.2338%).

25 ÷ 154 = 0.162338 (16.2338%)

Visual Representation

The diagram below illustrates 2/28 plus 2/22 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/154`
Mixed Number Form	`25/154`
Decimal Form	`0.162338`
Percentage	`16.2338%`

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Frequently Asked Questions

What is 2/28 plus 2/22 as a fraction?

2/28 + 2/22 in simplest fraction form is 25/154.

What is 2/28 plus 2/22 as a decimal?

2/28 + 2/22 converted to a decimal is 0.162338.

What is 2/28 plus 2/22 as a percentage?

2/28 + 2/22 expressed as a percentage is 16.2338%.

Does 2/28 plus 2/22 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.162338...) because the denominator contains prime factors other than 2 and 5.