What is 2/34 plus 2/22? (Answer: 28/187)

Exact Answer

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Problem: What is 2/34 plus 2/22?
Formula / Expression: 2/34 + 2/22
Final Answer: 28/187
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 34 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 374 (which is smaller than their product 34 × 22 = 748, keeping the calculation simpler).
Working: LCD(34, 22) = 374

Step 2: Convert to Equivalent Fractions with Common Denominator 374
Multiply the numerator and denominator of 2/34 by 11, and multiply the numerator and denominator of 2/22 by 17 so both fractions share the common base 374.
Working: 2 × 11/34 × 11 = 22/374 and 2 × 17/22 × 17 = 34/374

Step 3: Add the Numerators
Now add the numerators (22 + 34 = 56) and keep the common denominator 374 unchanged.
Working: 22 + 34/374 = 56/374

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 56 and 374, which is 2. Divide both the numerator and denominator by 2.
Working: 56 ÷ 2/374 ÷ 2 = 28/187

Step 5: Decimal & Percentage Representation
Dividing the numerator 28 by denominator 187 produces a repeating decimal (approximately 0.149733, or 14.9733%).
Working: 28 ÷ 187 = 0.149733 (14.9733%)

Key Values:
- Simplified Fraction: 28/187
- Mixed Number Form: 28/187
- Decimal Value: 0.149733
- Percentage: 14.9733%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-34-plus-2-22/
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2/34 + 2/22 = 28/187

Simplified Fraction

28/187

Mixed Number

Proper (28/187)

Decimal Value

0.149733

Percentage

14.9733%

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Step-by-Step Solution: 2/34 + 2/22

Step 1

Find the Least Common Denominator (LCD)

The denominators 34 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 374 (which is smaller than their product 34 × 22 = 748, keeping the calculation simpler).

LCD(34, 22) = 374

Step 2

Convert to Equivalent Fractions with Common Denominator 374

Multiply the numerator and denominator of 2/34 by 11, and multiply the numerator and denominator of 2/22 by 17 so both fractions share the common base 374.

2 × 11/34 × 11 = 22/374 and 2 × 17/22 × 17 = 34/374

Step 3

Add the Numerators

Now add the numerators (22 + 34 = 56) and keep the common denominator 374 unchanged.

22 + 34/374 = 56/374

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 56 and 374, which is 2. Divide both the numerator and denominator by 2.

56 ÷ 2/374 ÷ 2 = 28/187

Step 5

Decimal & Percentage Representation

Dividing the numerator 28 by denominator 187 produces a repeating decimal (approximately 0.149733, or 14.9733%).

28 ÷ 187 = 0.149733 (14.9733%)

Visual Representation

The diagram below illustrates 2/34 plus 2/22 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`28/187`
Mixed Number Form	`28/187`
Decimal Form	`0.149733`
Percentage	`14.9733%`

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Frequently Asked Questions

What is 2/34 plus 2/22 as a fraction?

2/34 + 2/22 in simplest fraction form is 28/187.

What is 2/34 plus 2/22 as a decimal?

2/34 + 2/22 converted to a decimal is 0.149733.

What is 2/34 plus 2/22 as a percentage?

2/34 + 2/22 expressed as a percentage is 14.9733%.

Does 2/34 plus 2/22 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.149733...) because the denominator contains prime factors other than 2 and 5.