What is 2/20 plus 2/12? (Answer: 4/15)

Exact Answer

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Problem: What is 2/20 plus 2/12?
Formula / Expression: 2/20 + 2/12
Final Answer: 4/15
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 20 and 12 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 60 (which is smaller than their product 20 × 12 = 240, keeping the calculation simpler).
Working: LCD(20, 12) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 2/20 by 3, and multiply the numerator and denominator of 2/12 by 5 so both fractions share the common base 60.
Working: 2 × 3/20 × 3 = 6/60 and 2 × 5/12 × 5 = 10/60

Step 3: Add the Numerators
Now add the numerators (6 + 10 = 16) and keep the common denominator 60 unchanged.
Working: 6 + 10/60 = 16/60

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 60, which is 4. Divide both the numerator and denominator by 4.
Working: 16 ÷ 4/60 ÷ 4 = 4/15

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 15 produces a repeating decimal (approximately 0.266667, or 26.6667%).
Working: 4 ÷ 15 = 0.266667 (26.6667%)

Key Values:
- Simplified Fraction: 4/15
- Mixed Number Form: 4/15
- Decimal Value: 0.266667
- Percentage: 26.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-20-plus-2-12/
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2/20 + 2/12 = 4/15

Simplified Fraction

4/15

Mixed Number

Proper (4/15)

Decimal Value

0.266667

Percentage

26.6667%

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Step-by-Step Solution: 2/20 + 2/12

Step 1

Find the Least Common Denominator (LCD)

The denominators 20 and 12 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 60 (which is smaller than their product 20 × 12 = 240, keeping the calculation simpler).

LCD(20, 12) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 2/20 by 3, and multiply the numerator and denominator of 2/12 by 5 so both fractions share the common base 60.

2 × 3/20 × 3 = 6/60 and 2 × 5/12 × 5 = 10/60

Step 3

Add the Numerators

Now add the numerators (6 + 10 = 16) and keep the common denominator 60 unchanged.

6 + 10/60 = 16/60

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 16 and 60, which is 4. Divide both the numerator and denominator by 4.

16 ÷ 4/60 ÷ 4 = 4/15

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 15 produces a repeating decimal (approximately 0.266667, or 26.6667%).

4 ÷ 15 = 0.266667 (26.6667%)

Visual Representation

The diagram below illustrates 2/20 plus 2/12 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/15`
Mixed Number Form	`4/15`
Decimal Form	`0.266667`
Percentage	`26.6667%`

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Frequently Asked Questions

What is 2/20 plus 2/12 as a fraction?

2/20 + 2/12 in simplest fraction form is 4/15.

What is 2/20 plus 2/12 as a decimal?

2/20 + 2/12 converted to a decimal is 0.266667.

What is 2/20 plus 2/12 as a percentage?

2/20 + 2/12 expressed as a percentage is 26.6667%.

Does 2/20 plus 2/12 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.266667...) because the denominator contains prime factors other than 2 and 5.