What is 2/44 plus 2/9? (Answer: 53/198)

Exact Answer

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Problem: What is 2/44 plus 2/9?
Formula / Expression: 2/44 + 2/9
Final Answer: 53/198
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 44 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 44 × 9 = 396.
Working: LCD(44, 9) = 396

Step 2: Convert to Equivalent Fractions with Common Denominator 396
Multiply the numerator and denominator of 2/44 by 9, and multiply the numerator and denominator of 2/9 by 44 so both fractions share the common base 396.
Working: 2 × 9/44 × 9 = 18/396 and 2 × 44/9 × 44 = 88/396

Step 3: Add the Numerators
Now add the numerators (18 + 88 = 106) and keep the common denominator 396 unchanged.
Working: 18 + 88/396 = 106/396

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 106 and 396, which is 2. Divide both the numerator and denominator by 2.
Working: 106 ÷ 2/396 ÷ 2 = 53/198

Step 5: Decimal & Percentage Representation
Dividing the numerator 53 by denominator 198 produces a repeating decimal (approximately 0.267677, or 26.7677%).
Working: 53 ÷ 198 = 0.267677 (26.7677%)

Key Values:
- Simplified Fraction: 53/198
- Mixed Number Form: 53/198
- Decimal Value: 0.267677
- Percentage: 26.7677%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-44-plus-2-9/
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2/44 + 2/9 = 53/198

Simplified Fraction

53/198

Mixed Number

Proper (53/198)

Decimal Value

0.267677

Percentage

26.7677%

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Step-by-Step Solution: 2/44 + 2/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 44 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 44 × 9 = 396.

LCD(44, 9) = 396

Step 2

Convert to Equivalent Fractions with Common Denominator 396

Multiply the numerator and denominator of 2/44 by 9, and multiply the numerator and denominator of 2/9 by 44 so both fractions share the common base 396.

2 × 9/44 × 9 = 18/396 and 2 × 44/9 × 44 = 88/396

Step 3

Add the Numerators

Now add the numerators (18 + 88 = 106) and keep the common denominator 396 unchanged.

18 + 88/396 = 106/396

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 106 and 396, which is 2. Divide both the numerator and denominator by 2.

106 ÷ 2/396 ÷ 2 = 53/198

Step 5

Decimal & Percentage Representation

Dividing the numerator 53 by denominator 198 produces a repeating decimal (approximately 0.267677, or 26.7677%).

53 ÷ 198 = 0.267677 (26.7677%)

Visual Representation

The diagram below illustrates 2/44 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`53/198`
Mixed Number Form	`53/198`
Decimal Form	`0.267677`
Percentage	`26.7677%`

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Frequently Asked Questions

What is 2/44 plus 2/9 as a fraction?

2/44 + 2/9 in simplest fraction form is 53/198.

What is 2/44 plus 2/9 as a decimal?

2/44 + 2/9 converted to a decimal is 0.267677.

What is 2/44 plus 2/9 as a percentage?

2/44 + 2/9 expressed as a percentage is 26.7677%.

Does 2/44 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.267677...) because the denominator contains prime factors other than 2 and 5.