What is 2/20 plus 1/2? (Answer: 3/5)

Exact Answer

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Problem: What is 2/20 plus 1/2?
Formula / Expression: 2/20 + 1/2
Final Answer: 3/5
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 20 is an exact multiple of 2 (2 × 10 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.
Working: LCD(20, 2) = 20

Step 2: Convert to Equivalent Fractions with Common Denominator 20
Multiply the numerator and denominator of 2/20 by 1, and multiply the numerator and denominator of 1/2 by 10 so both fractions share the common base 20.
Working: 2 × 1/20 × 1 = 2/20 and 1 × 10/2 × 10 = 10/20

Step 3: Add the Numerators
Now add the numerators (2 + 10 = 12) and keep the common denominator 20 unchanged.
Working: 2 + 10/20 = 12/20

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 12 and 20, which is 4. Divide both the numerator and denominator by 4.
Working: 12 ÷ 4/20 ÷ 4 = 3/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).
Working: 3 ÷ 5 = 0.6 (60%)

Key Values:
- Simplified Fraction: 3/5
- Mixed Number Form: 3/5
- Decimal Value: 0.6
- Percentage: 60%

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Solved with FractionsCalc:
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2/20 + 1/2 = 3/5

Simplified Fraction

3/5

Mixed Number

Proper (3/5)

Decimal Value

0.6

Percentage

60%

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Step-by-Step Solution: 2/20 + 1/2

Step 1

Find the Least Common Denominator (LCD)

Notice that 20 is an exact multiple of 2 (2 × 10 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.

LCD(20, 2) = 20

Step 2

Convert to Equivalent Fractions with Common Denominator 20

Multiply the numerator and denominator of 2/20 by 1, and multiply the numerator and denominator of 1/2 by 10 so both fractions share the common base 20.

2 × 1/20 × 1 = 2/20 and 1 × 10/2 × 10 = 10/20

Step 3

Add the Numerators

Now add the numerators (2 + 10 = 12) and keep the common denominator 20 unchanged.

2 + 10/20 = 12/20

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 12 and 20, which is 4. Divide both the numerator and denominator by 4.

12 ÷ 4/20 ÷ 4 = 3/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).

3 ÷ 5 = 0.6 (60%)

Visual Representation

The diagram below illustrates 2/20 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/5`
Mixed Number Form	`3/5`
Decimal Form	`0.6`
Percentage	`60%`

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Frequently Asked Questions

What is 2/20 plus 1/2 as a fraction?

2/20 + 1/2 in simplest fraction form is 3/5.

What is 2/20 plus 1/2 as a decimal?

2/20 + 1/2 converted to a decimal is 0.6.

What is 2/20 plus 1/2 as a percentage?

2/20 + 1/2 expressed as a percentage is 60%.

Does 2/20 plus 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.6) because the denominator in simplest terms contains only prime factors 2 and/or 5.