What is 2/22 plus 2/16? (Answer: 19/88)

Exact Answer

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Problem: What is 2/22 plus 2/16?
Formula / Expression: 2/22 + 2/16
Final Answer: 19/88
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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 2/16 by 11 so both fractions share the common base 176.
Working: 2 × 8/22 × 8 = 16/176 and 2 × 11/16 × 11 = 22/176

Step 3: Add the Numerators
Now add the numerators (16 + 22 = 38) and keep the common denominator 176 unchanged.
Working: 16 + 22/176 = 38/176

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 38 and 176, which is 2. Divide both the numerator and denominator by 2.
Working: 38 ÷ 2/176 ÷ 2 = 19/88

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 88 produces a repeating decimal (approximately 0.215909, or 21.5909%).
Working: 19 ÷ 88 = 0.215909 (21.5909%)

Key Values:
- Simplified Fraction: 19/88
- Mixed Number Form: 19/88
- Decimal Value: 0.215909
- Percentage: 21.5909%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-2-16/
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2/22 + 2/16 = 19/88

Simplified Fraction

19/88

Mixed Number

Proper (19/88)

Decimal Value

0.215909

Percentage

21.5909%

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

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 2/16 by 11 so both fractions share the common base 176.

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

Step 3

Add the Numerators

Now add the numerators (16 + 22 = 38) and keep the common denominator 176 unchanged.

16 + 22/176 = 38/176

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 38 and 176, which is 2. Divide both the numerator and denominator by 2.

38 ÷ 2/176 ÷ 2 = 19/88

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 88 produces a repeating decimal (approximately 0.215909, or 21.5909%).

19 ÷ 88 = 0.215909 (21.5909%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/88`
Mixed Number Form	`19/88`
Decimal Form	`0.215909`
Percentage	`21.5909%`

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Frequently Asked Questions

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

2/22 + 2/16 in simplest fraction form is 19/88.

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

2/22 + 2/16 converted to a decimal is 0.215909.

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

2/22 + 2/16 expressed as a percentage is 21.5909%.

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

It results in a repeating decimal (approximately 0.215909...) because the denominator contains prime factors other than 2 and 5.