What is 2/12 plus 2/5? (Answer: 17/30)

Exact Answer

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Problem: What is 2/12 plus 2/5?
Formula / Expression: 2/12 + 2/5
Final Answer: 17/30
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 12 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 12 × 5 = 60.
Working: LCD(12, 5) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 2/12 by 5, and multiply the numerator and denominator of 2/5 by 12 so both fractions share the common base 60.
Working: 2 × 5/12 × 5 = 10/60 and 2 × 12/5 × 12 = 24/60

Step 3: Add the Numerators
Now add the numerators (10 + 24 = 34) and keep the common denominator 60 unchanged.
Working: 10 + 24/60 = 34/60

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 34 and 60, which is 2. Divide both the numerator and denominator by 2.
Working: 34 ÷ 2/60 ÷ 2 = 17/30

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 30 produces a repeating decimal (approximately 0.566667, or 56.6667%).
Working: 17 ÷ 30 = 0.566667 (56.6667%)

Key Values:
- Simplified Fraction: 17/30
- Mixed Number Form: 17/30
- Decimal Value: 0.566667
- Percentage: 56.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-12-plus-2-5/
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2/12 + 2/5 = 17/30

Simplified Fraction

17/30

Mixed Number

Proper (17/30)

Decimal Value

0.566667

Percentage

56.6667%

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Step-by-Step Solution: 2/12 + 2/5

Step 1

Find the Least Common Denominator (LCD)

The denominators 12 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 12 × 5 = 60.

LCD(12, 5) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 2/12 by 5, and multiply the numerator and denominator of 2/5 by 12 so both fractions share the common base 60.

2 × 5/12 × 5 = 10/60 and 2 × 12/5 × 12 = 24/60

Step 3

Add the Numerators

Now add the numerators (10 + 24 = 34) and keep the common denominator 60 unchanged.

10 + 24/60 = 34/60

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 34 and 60, which is 2. Divide both the numerator and denominator by 2.

34 ÷ 2/60 ÷ 2 = 17/30

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 30 produces a repeating decimal (approximately 0.566667, or 56.6667%).

17 ÷ 30 = 0.566667 (56.6667%)

Visual Representation

The diagram below illustrates 2/12 plus 2/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/30`
Mixed Number Form	`17/30`
Decimal Form	`0.566667`
Percentage	`56.6667%`

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Frequently Asked Questions

What is 2/12 plus 2/5 as a fraction?

2/12 + 2/5 in simplest fraction form is 17/30.

What is 2/12 plus 2/5 as a decimal?

2/12 + 2/5 converted to a decimal is 0.566667.

What is 2/12 plus 2/5 as a percentage?

2/12 + 2/5 expressed as a percentage is 56.6667%.

Does 2/12 plus 2/5 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.566667...) because the denominator contains prime factors other than 2 and 5.