What is 2/33 plus 2/11? (Answer: 8/33)

Exact Answer

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Problem: What is 2/33 plus 2/11?
Formula / Expression: 2/33 + 2/11
Final Answer: 8/33
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 33 is an exact multiple of 11 (11 × 3 = 33). The Least Common Denominator (LCD) is simply 33, meaning we only need to scale one fraction.
Working: LCD(33, 11) = 33

Step 2: Convert to Equivalent Fractions with Common Denominator 33
Multiply the numerator and denominator of 2/33 by 1, and multiply the numerator and denominator of 2/11 by 3 so both fractions share the common base 33.
Working: 2 × 1/33 × 1 = 2/33 and 2 × 3/11 × 3 = 6/33

Step 3: Add the Numerators
Now add the numerators (2 + 6 = 8) and keep the common denominator 33 unchanged.
Working: 2 + 6/33 = 8/33

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 8 and 33 is 1, confirming that 8/33 cannot be reduced further—it is already in its simplest irreducible form.
Working: 8/33

Step 5: Decimal & Percentage Representation
Dividing the numerator 8 by denominator 33 produces a repeating decimal (approximately 0.242424, or 24.2424%).
Working: 8 ÷ 33 = 0.242424 (24.2424%)

Key Values:
- Simplified Fraction: 8/33
- Mixed Number Form: 8/33
- Decimal Value: 0.242424
- Percentage: 24.2424%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-33-plus-2-11/
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2/33 + 2/11 = 8/33

Simplified Fraction

8/33

Mixed Number

Proper (8/33)

Decimal Value

0.242424

Percentage

24.2424%

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Step-by-Step Solution: 2/33 + 2/11

Step 1

Find the Least Common Denominator (LCD)

Notice that 33 is an exact multiple of 11 (11 × 3 = 33). The Least Common Denominator (LCD) is simply 33, meaning we only need to scale one fraction.

LCD(33, 11) = 33

Step 2

Convert to Equivalent Fractions with Common Denominator 33

Multiply the numerator and denominator of 2/33 by 1, and multiply the numerator and denominator of 2/11 by 3 so both fractions share the common base 33.

2 × 1/33 × 1 = 2/33 and 2 × 3/11 × 3 = 6/33

Step 3

Add the Numerators

Now add the numerators (2 + 6 = 8) and keep the common denominator 33 unchanged.

2 + 6/33 = 8/33

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 8 and 33 is 1, confirming that 8/33 cannot be reduced further—it is already in its simplest irreducible form.

8/33

Step 5

Decimal & Percentage Representation

Dividing the numerator 8 by denominator 33 produces a repeating decimal (approximately 0.242424, or 24.2424%).

8 ÷ 33 = 0.242424 (24.2424%)

Visual Representation

The diagram below illustrates 2/33 plus 2/11 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/33`
Mixed Number Form	`8/33`
Decimal Form	`0.242424`
Percentage	`24.2424%`

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Frequently Asked Questions

What is 2/33 plus 2/11 as a fraction?

2/33 + 2/11 in simplest fraction form is 8/33.

What is 2/33 plus 2/11 as a decimal?

2/33 + 2/11 converted to a decimal is 0.242424.

What is 2/33 plus 2/11 as a percentage?

2/33 + 2/11 expressed as a percentage is 24.2424%.

Does 2/33 plus 2/11 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.242424...) because the denominator contains prime factors other than 2 and 5.