What is 2/22 plus 4/12? (Answer: 14/33)

Exact Answer

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Problem: What is 2/22 plus 4/12?
Formula / Expression: 2/22 + 4/12
Final Answer: 14/33
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 12 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 132 (which is smaller than their product 22 × 12 = 264, keeping the calculation simpler).
Working: LCD(22, 12) = 132

Step 2: Convert to Equivalent Fractions with Common Denominator 132
Multiply the numerator and denominator of 2/22 by 6, and multiply the numerator and denominator of 4/12 by 11 so both fractions share the common base 132.
Working: 2 × 6/22 × 6 = 12/132 and 4 × 11/12 × 11 = 44/132

Step 3: Add the Numerators
Now add the numerators (12 + 44 = 56) and keep the common denominator 132 unchanged.
Working: 12 + 44/132 = 56/132

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 56 and 132, which is 4. Divide both the numerator and denominator by 4.
Working: 56 ÷ 4/132 ÷ 4 = 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-4-12/
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2/22 + 4/12 = 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 + 4/12

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 12 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 132 (which is smaller than their product 22 × 12 = 264, keeping the calculation simpler).

LCD(22, 12) = 132

Step 2

Convert to Equivalent Fractions with Common Denominator 132

Multiply the numerator and denominator of 2/22 by 6, and multiply the numerator and denominator of 4/12 by 11 so both fractions share the common base 132.

2 × 6/22 × 6 = 12/132 and 4 × 11/12 × 11 = 44/132

Step 3

Add the Numerators

Now add the numerators (12 + 44 = 56) and keep the common denominator 132 unchanged.

12 + 44/132 = 56/132

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 56 and 132, which is 4. Divide both the numerator and denominator by 4.

56 ÷ 4/132 ÷ 4 = 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 4/12 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 4/12 as a fraction?

2/22 + 4/12 in simplest fraction form is 14/33.

What is 2/22 plus 4/12 as a decimal?

2/22 + 4/12 converted to a decimal is 0.424242.

What is 2/22 plus 4/12 as a percentage?

2/22 + 4/12 expressed as a percentage is 42.4242%.

Does 2/22 plus 4/12 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.