What is 2/22 plus 5/11? (Answer: 6/11)

Exact Answer

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Problem: What is 2/22 plus 5/11?
Formula / Expression: 2/22 + 5/11
Final Answer: 6/11
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 22 is an exact multiple of 11 (11 × 2 = 22). The Least Common Denominator (LCD) is simply 22, meaning we only need to scale one fraction.
Working: LCD(22, 11) = 22

Step 2: Convert to Equivalent Fractions with Common Denominator 22
Multiply the numerator and denominator of 2/22 by 1, and multiply the numerator and denominator of 5/11 by 2 so both fractions share the common base 22.
Working: 2 × 1/22 × 1 = 2/22 and 5 × 2/11 × 2 = 10/22

Step 3: Add the Numerators
Now add the numerators (2 + 10 = 12) and keep the common denominator 22 unchanged.
Working: 2 + 10/22 = 12/22

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 12 and 22, which is 2. Divide both the numerator and denominator by 2.
Working: 12 ÷ 2/22 ÷ 2 = 6/11

Step 5: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 11 produces a repeating decimal (approximately 0.545455, or 54.5455%).
Working: 6 ÷ 11 = 0.545455 (54.5455%)

Key Values:
- Simplified Fraction: 6/11
- Mixed Number Form: 6/11
- Decimal Value: 0.545455
- Percentage: 54.5455%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-5-11/
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2/22 + 5/11 = 6/11

Simplified Fraction

6/11

Mixed Number

Proper (6/11)

Decimal Value

0.545455

Percentage

54.5455%

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Step-by-Step Solution: 2/22 + 5/11

Step 1

Find the Least Common Denominator (LCD)

Notice that 22 is an exact multiple of 11 (11 × 2 = 22). The Least Common Denominator (LCD) is simply 22, meaning we only need to scale one fraction.

LCD(22, 11) = 22

Step 2

Convert to Equivalent Fractions with Common Denominator 22

Multiply the numerator and denominator of 2/22 by 1, and multiply the numerator and denominator of 5/11 by 2 so both fractions share the common base 22.

2 × 1/22 × 1 = 2/22 and 5 × 2/11 × 2 = 10/22

Step 3

Add the Numerators

Now add the numerators (2 + 10 = 12) and keep the common denominator 22 unchanged.

2 + 10/22 = 12/22

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 12 and 22, which is 2. Divide both the numerator and denominator by 2.

12 ÷ 2/22 ÷ 2 = 6/11

Step 5

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 11 produces a repeating decimal (approximately 0.545455, or 54.5455%).

6 ÷ 11 = 0.545455 (54.5455%)

Visual Representation

The diagram below illustrates 2/22 plus 5/11 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/11`
Mixed Number Form	`6/11`
Decimal Form	`0.545455`
Percentage	`54.5455%`

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Frequently Asked Questions

What is 2/22 plus 5/11 as a fraction?

2/22 + 5/11 in simplest fraction form is 6/11.

What is 2/22 plus 5/11 as a decimal?

2/22 + 5/11 converted to a decimal is 0.545455.

What is 2/22 plus 5/11 as a percentage?

2/22 + 5/11 expressed as a percentage is 54.5455%.

Does 2/22 plus 5/11 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.545455...) because the denominator contains prime factors other than 2 and 5.