What is 2/22 plus 4/11? (Answer: 5/11)

Exact Answer

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Problem: What is 2/22 plus 4/11?
Formula / Expression: 2/22 + 4/11
Final Answer: 5/11
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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 4/11 by 2 so both fractions share the common base 22.
Working: 2 × 1/22 × 1 = 2/22 and 4 × 2/11 × 2 = 8/22

Step 3: Add the Numerators
Now add the numerators (2 + 8 = 10) and keep the common denominator 22 unchanged.
Working: 2 + 8/22 = 10/22

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 22, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/22 ÷ 2 = 5/11

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 11 produces a repeating decimal (approximately 0.454545, or 45.4545%).
Working: 5 ÷ 11 = 0.454545 (45.4545%)

Key Values:
- Simplified Fraction: 5/11
- Mixed Number Form: 5/11
- Decimal Value: 0.454545
- Percentage: 45.4545%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-4-11/
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2/22 + 4/11 = 5/11

Simplified Fraction

5/11

Mixed Number

Proper (5/11)

Decimal Value

0.454545

Percentage

45.4545%

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Step-by-Step Solution: 2/22 + 4/11

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 4/11 by 2 so both fractions share the common base 22.

2 × 1/22 × 1 = 2/22 and 4 × 2/11 × 2 = 8/22

Step 3

Add the Numerators

Now add the numerators (2 + 8 = 10) and keep the common denominator 22 unchanged.

2 + 8/22 = 10/22

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 22, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/22 ÷ 2 = 5/11

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 11 produces a repeating decimal (approximately 0.454545, or 45.4545%).

5 ÷ 11 = 0.454545 (45.4545%)

Visual Representation

The diagram below illustrates 2/22 plus 4/11 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/11`
Mixed Number Form	`5/11`
Decimal Form	`0.454545`
Percentage	`45.4545%`

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Frequently Asked Questions

What is 2/22 plus 4/11 as a fraction?

2/22 + 4/11 in simplest fraction form is 5/11.

What is 2/22 plus 4/11 as a decimal?

2/22 + 4/11 converted to a decimal is 0.454545.

What is 2/22 plus 4/11 as a percentage?

2/22 + 4/11 expressed as a percentage is 45.4545%.

Does 2/22 plus 4/11 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.454545...) because the denominator contains prime factors other than 2 and 5.