What is 3/20 plus 2/6? (Answer: 29/60)

Exact Answer

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Problem: What is 3/20 plus 2/6?
Formula / Expression: 3/20 + 2/6
Final Answer: 29/60
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 20 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 60 (which is smaller than their product 20 × 6 = 120, keeping the calculation simpler).
Working: LCD(20, 6) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 3/20 by 3, and multiply the numerator and denominator of 2/6 by 10 so both fractions share the common base 60.
Working: 3 × 3/20 × 3 = 9/60 and 2 × 10/6 × 10 = 20/60

Step 3: Add the Numerators
Now add the numerators (9 + 20 = 29) and keep the common denominator 60 unchanged.
Working: 9 + 20/60 = 29/60

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 29 and 60 is 1, confirming that 29/60 cannot be reduced further—it is already in its simplest irreducible form.
Working: 29/60

Step 5: Decimal & Percentage Representation
Dividing the numerator 29 by denominator 60 produces a repeating decimal (approximately 0.483333, or 48.3333%).
Working: 29 ÷ 60 = 0.483333 (48.3333%)

Key Values:
- Simplified Fraction: 29/60
- Mixed Number Form: 29/60
- Decimal Value: 0.483333
- Percentage: 48.3333%

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Solved with FractionsCalc:
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3/20 + 2/6 = 29/60

Simplified Fraction

29/60

Mixed Number

Proper (29/60)

Decimal Value

0.483333

Percentage

48.3333%

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Step-by-Step Solution: 3/20 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 20 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 60 (which is smaller than their product 20 × 6 = 120, keeping the calculation simpler).

LCD(20, 6) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 3/20 by 3, and multiply the numerator and denominator of 2/6 by 10 so both fractions share the common base 60.

3 × 3/20 × 3 = 9/60 and 2 × 10/6 × 10 = 20/60

Step 3

Add the Numerators

Now add the numerators (9 + 20 = 29) and keep the common denominator 60 unchanged.

9 + 20/60 = 29/60

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 29 and 60 is 1, confirming that 29/60 cannot be reduced further—it is already in its simplest irreducible form.

29/60

Step 5

Decimal & Percentage Representation

Dividing the numerator 29 by denominator 60 produces a repeating decimal (approximately 0.483333, or 48.3333%).

29 ÷ 60 = 0.483333 (48.3333%)

Visual Representation

The diagram below illustrates 3/20 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/60`
Mixed Number Form	`29/60`
Decimal Form	`0.483333`
Percentage	`48.3333%`

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Frequently Asked Questions

What is 3/20 plus 2/6 as a fraction?

3/20 + 2/6 in simplest fraction form is 29/60.

What is 3/20 plus 2/6 as a decimal?

3/20 + 2/6 converted to a decimal is 0.483333.

What is 3/20 plus 2/6 as a percentage?

3/20 + 2/6 expressed as a percentage is 48.3333%.

Does 3/20 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.483333...) because the denominator contains prime factors other than 2 and 5.