What is 2/22 plus 3/11? (Answer: 4/11)

Exact Answer

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Problem: What is 2/22 plus 3/11?
Formula / Expression: 2/22 + 3/11
Final Answer: 4/11
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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 3/11 by 2 so both fractions share the common base 22.
Working: 2 × 1/22 × 1 = 2/22 and 3 × 2/11 × 2 = 6/22

Step 3: Add the Numerators
Now add the numerators (2 + 6 = 8) and keep the common denominator 22 unchanged.
Working: 2 + 6/22 = 8/22

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 22, which is 2. Divide both the numerator and denominator by 2.
Working: 8 ÷ 2/22 ÷ 2 = 4/11

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 11 produces a repeating decimal (approximately 0.363636, or 36.3636%).
Working: 4 ÷ 11 = 0.363636 (36.3636%)

Key Values:
- Simplified Fraction: 4/11
- Mixed Number Form: 4/11
- Decimal Value: 0.363636
- Percentage: 36.3636%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-3-11/
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2/22 + 3/11 = 4/11

Simplified Fraction

4/11

Mixed Number

Proper (4/11)

Decimal Value

0.363636

Percentage

36.3636%

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Step-by-Step Solution: 2/22 + 3/11

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 3/11 by 2 so both fractions share the common base 22.

2 × 1/22 × 1 = 2/22 and 3 × 2/11 × 2 = 6/22

Step 3

Add the Numerators

Now add the numerators (2 + 6 = 8) and keep the common denominator 22 unchanged.

2 + 6/22 = 8/22

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 8 and 22, which is 2. Divide both the numerator and denominator by 2.

8 ÷ 2/22 ÷ 2 = 4/11

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 11 produces a repeating decimal (approximately 0.363636, or 36.3636%).

4 ÷ 11 = 0.363636 (36.3636%)

Visual Representation

The diagram below illustrates 2/22 plus 3/11 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/11`
Mixed Number Form	`4/11`
Decimal Form	`0.363636`
Percentage	`36.3636%`

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Frequently Asked Questions

What is 2/22 plus 3/11 as a fraction?

2/22 + 3/11 in simplest fraction form is 4/11.

What is 2/22 plus 3/11 as a decimal?

2/22 + 3/11 converted to a decimal is 0.363636.

What is 2/22 plus 3/11 as a percentage?

2/22 + 3/11 expressed as a percentage is 36.3636%.

Does 2/22 plus 3/11 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.363636...) because the denominator contains prime factors other than 2 and 5.