What is 2/22 plus 4/16? (Answer: 15/44)

Exact Answer

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Problem: What is 2/22 plus 4/16?
Formula / Expression: 2/22 + 4/16
Final Answer: 15/44
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 16 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 176 (which is smaller than their product 22 × 16 = 352, keeping the calculation simpler).
Working: LCD(22, 16) = 176

Step 2: Convert to Equivalent Fractions with Common Denominator 176
Multiply the numerator and denominator of 2/22 by 8, and multiply the numerator and denominator of 4/16 by 11 so both fractions share the common base 176.
Working: 2 × 8/22 × 8 = 16/176 and 4 × 11/16 × 11 = 44/176

Step 3: Add the Numerators
Now add the numerators (16 + 44 = 60) and keep the common denominator 176 unchanged.
Working: 16 + 44/176 = 60/176

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 60 and 176, which is 4. Divide both the numerator and denominator by 4.
Working: 60 ÷ 4/176 ÷ 4 = 15/44

Step 5: Decimal & Percentage Representation
Dividing the numerator 15 by denominator 44 produces a repeating decimal (approximately 0.340909, or 34.0909%).
Working: 15 ÷ 44 = 0.340909 (34.0909%)

Key Values:
- Simplified Fraction: 15/44
- Mixed Number Form: 15/44
- Decimal Value: 0.340909
- Percentage: 34.0909%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-4-16/
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2/22 + 4/16 = 15/44

Simplified Fraction

15/44

Mixed Number

Proper (15/44)

Decimal Value

0.340909

Percentage

34.0909%

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Step-by-Step Solution: 2/22 + 4/16

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 16 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 176 (which is smaller than their product 22 × 16 = 352, keeping the calculation simpler).

LCD(22, 16) = 176

Step 2

Convert to Equivalent Fractions with Common Denominator 176

Multiply the numerator and denominator of 2/22 by 8, and multiply the numerator and denominator of 4/16 by 11 so both fractions share the common base 176.

2 × 8/22 × 8 = 16/176 and 4 × 11/16 × 11 = 44/176

Step 3

Add the Numerators

Now add the numerators (16 + 44 = 60) and keep the common denominator 176 unchanged.

16 + 44/176 = 60/176

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 60 and 176, which is 4. Divide both the numerator and denominator by 4.

60 ÷ 4/176 ÷ 4 = 15/44

Step 5

Decimal & Percentage Representation

Dividing the numerator 15 by denominator 44 produces a repeating decimal (approximately 0.340909, or 34.0909%).

15 ÷ 44 = 0.340909 (34.0909%)

Visual Representation

The diagram below illustrates 2/22 plus 4/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/44`
Mixed Number Form	`15/44`
Decimal Form	`0.340909`
Percentage	`34.0909%`

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Frequently Asked Questions

What is 2/22 plus 4/16 as a fraction?

2/22 + 4/16 in simplest fraction form is 15/44.

What is 2/22 plus 4/16 as a decimal?

2/22 + 4/16 converted to a decimal is 0.340909.

What is 2/22 plus 4/16 as a percentage?

2/22 + 4/16 expressed as a percentage is 34.0909%.

Does 2/22 plus 4/16 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.340909...) because the denominator contains prime factors other than 2 and 5.