What is 2/17 plus 4/22? (Answer: 56/187)

Exact Answer

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Problem: What is 2/17 plus 4/22?
Formula / Expression: 2/17 + 4/22
Final Answer: 56/187
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 17 and 22 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 22 = 374.
Working: LCD(17, 22) = 374

Step 2: Convert to Equivalent Fractions with Common Denominator 374
Multiply the numerator and denominator of 2/17 by 22, and multiply the numerator and denominator of 4/22 by 17 so both fractions share the common base 374.
Working: 2 × 22/17 × 22 = 44/374 and 4 × 17/22 × 17 = 68/374

Step 3: Add the Numerators
Now add the numerators (44 + 68 = 112) and keep the common denominator 374 unchanged.
Working: 44 + 68/374 = 112/374

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 112 and 374, which is 2. Divide both the numerator and denominator by 2.
Working: 112 ÷ 2/374 ÷ 2 = 56/187

Step 5: Decimal & Percentage Representation
Dividing the numerator 56 by denominator 187 produces a repeating decimal (approximately 0.299465, or 29.9465%).
Working: 56 ÷ 187 = 0.299465 (29.9465%)

Key Values:
- Simplified Fraction: 56/187
- Mixed Number Form: 56/187
- Decimal Value: 0.299465
- Percentage: 29.9465%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-17-plus-4-22/
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2/17 + 4/22 = 56/187

Simplified Fraction

56/187

Mixed Number

Proper (56/187)

Decimal Value

0.299465

Percentage

29.9465%

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Step-by-Step Solution: 2/17 + 4/22

Step 1

Find the Least Common Denominator (LCD)

The denominators 17 and 22 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 22 = 374.

LCD(17, 22) = 374

Step 2

Convert to Equivalent Fractions with Common Denominator 374

Multiply the numerator and denominator of 2/17 by 22, and multiply the numerator and denominator of 4/22 by 17 so both fractions share the common base 374.

2 × 22/17 × 22 = 44/374 and 4 × 17/22 × 17 = 68/374

Step 3

Add the Numerators

Now add the numerators (44 + 68 = 112) and keep the common denominator 374 unchanged.

44 + 68/374 = 112/374

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 112 and 374, which is 2. Divide both the numerator and denominator by 2.

112 ÷ 2/374 ÷ 2 = 56/187

Step 5

Decimal & Percentage Representation

Dividing the numerator 56 by denominator 187 produces a repeating decimal (approximately 0.299465, or 29.9465%).

56 ÷ 187 = 0.299465 (29.9465%)

Visual Representation

The diagram below illustrates 2/17 plus 4/22 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`56/187`
Mixed Number Form	`56/187`
Decimal Form	`0.299465`
Percentage	`29.9465%`

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Frequently Asked Questions

What is 2/17 plus 4/22 as a fraction?

2/17 + 4/22 in simplest fraction form is 56/187.

What is 2/17 plus 4/22 as a decimal?

2/17 + 4/22 converted to a decimal is 0.299465.

What is 2/17 plus 4/22 as a percentage?

2/17 + 4/22 expressed as a percentage is 29.9465%.

Does 2/17 plus 4/22 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.299465...) because the denominator contains prime factors other than 2 and 5.