What is 2/22 plus 2/6? (Answer: 14/33)

Exact Answer

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Problem: What is 2/22 plus 2/6?
Formula / Expression: 2/22 + 2/6
Final Answer: 14/33
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 66 (which is smaller than their product 22 × 6 = 132, keeping the calculation simpler).
Working: LCD(22, 6) = 66

Step 2: Convert to Equivalent Fractions with Common Denominator 66
Multiply the numerator and denominator of 2/22 by 3, and multiply the numerator and denominator of 2/6 by 11 so both fractions share the common base 66.
Working: 2 × 3/22 × 3 = 6/66 and 2 × 11/6 × 11 = 22/66

Step 3: Add the Numerators
Now add the numerators (6 + 22 = 28) and keep the common denominator 66 unchanged.
Working: 6 + 22/66 = 28/66

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 28 and 66, which is 2. Divide both the numerator and denominator by 2.
Working: 28 ÷ 2/66 ÷ 2 = 14/33

Step 5: Decimal & Percentage Representation
Dividing the numerator 14 by denominator 33 produces a repeating decimal (approximately 0.424242, or 42.4242%).
Working: 14 ÷ 33 = 0.424242 (42.4242%)

Key Values:
- Simplified Fraction: 14/33
- Mixed Number Form: 14/33
- Decimal Value: 0.424242
- Percentage: 42.4242%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-2-6/
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2/22 + 2/6 = 14/33

Simplified Fraction

14/33

Mixed Number

Proper (14/33)

Decimal Value

0.424242

Percentage

42.4242%

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Step-by-Step Solution: 2/22 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 66 (which is smaller than their product 22 × 6 = 132, keeping the calculation simpler).

LCD(22, 6) = 66

Step 2

Convert to Equivalent Fractions with Common Denominator 66

Multiply the numerator and denominator of 2/22 by 3, and multiply the numerator and denominator of 2/6 by 11 so both fractions share the common base 66.

2 × 3/22 × 3 = 6/66 and 2 × 11/6 × 11 = 22/66

Step 3

Add the Numerators

Now add the numerators (6 + 22 = 28) and keep the common denominator 66 unchanged.

6 + 22/66 = 28/66

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 28 and 66, which is 2. Divide both the numerator and denominator by 2.

28 ÷ 2/66 ÷ 2 = 14/33

Step 5

Decimal & Percentage Representation

Dividing the numerator 14 by denominator 33 produces a repeating decimal (approximately 0.424242, or 42.4242%).

14 ÷ 33 = 0.424242 (42.4242%)

Visual Representation

The diagram below illustrates 2/22 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`14/33`
Mixed Number Form	`14/33`
Decimal Form	`0.424242`
Percentage	`42.4242%`

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Frequently Asked Questions

What is 2/22 plus 2/6 as a fraction?

2/22 + 2/6 in simplest fraction form is 14/33.

What is 2/22 plus 2/6 as a decimal?

2/22 + 2/6 converted to a decimal is 0.424242.

What is 2/22 plus 2/6 as a percentage?

2/22 + 2/6 expressed as a percentage is 42.4242%.

Does 2/22 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.424242...) because the denominator contains prime factors other than 2 and 5.