What is 3/20 plus 2/10? (Answer: 7/20)

Exact Answer

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Problem: What is 3/20 plus 2/10?
Formula / Expression: 3/20 + 2/10
Final Answer: 7/20
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 20
Multiply the numerator and denominator of 3/20 by 1, and multiply the numerator and denominator of 2/10 by 2 so both fractions share the common base 20.
Working: 3 × 1/20 × 1 = 3/20 and 2 × 2/10 × 2 = 4/20

Step 3: Add the Numerators
Now add the numerators (3 + 4 = 7) and keep the common denominator 20 unchanged.
Working: 3 + 4/20 = 7/20

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 20 is 1, confirming that 7/20 cannot be reduced further—it is already in its simplest irreducible form.
Working: 7/20

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 20 yields an exact terminating decimal of 0.35 (or 35%).
Working: 7 ÷ 20 = 0.35 (35%)

Key Values:
- Simplified Fraction: 7/20
- Mixed Number Form: 7/20
- Decimal Value: 0.35
- Percentage: 35%

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Solved with FractionsCalc:
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3/20 + 2/10 = 7/20

Simplified Fraction

7/20

Mixed Number

Proper (7/20)

Decimal Value

0.35

Percentage

35%

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Step-by-Step Solution: 3/20 + 2/10

Step 1

Find the Least Common Denominator (LCD)

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

LCD(20, 10) = 20

Step 2

Convert to Equivalent Fractions with Common Denominator 20

Multiply the numerator and denominator of 3/20 by 1, and multiply the numerator and denominator of 2/10 by 2 so both fractions share the common base 20.

3 × 1/20 × 1 = 3/20 and 2 × 2/10 × 2 = 4/20

Step 3

Add the Numerators

Now add the numerators (3 + 4 = 7) and keep the common denominator 20 unchanged.

3 + 4/20 = 7/20

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 7 and 20 is 1, confirming that 7/20 cannot be reduced further—it is already in its simplest irreducible form.

7/20

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 20 yields an exact terminating decimal of 0.35 (or 35%).

7 ÷ 20 = 0.35 (35%)

Visual Representation

The diagram below illustrates 3/20 plus 2/10 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/20`
Mixed Number Form	`7/20`
Decimal Form	`0.35`
Percentage	`35%`

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Frequently Asked Questions

What is 3/20 plus 2/10 as a fraction?

3/20 + 2/10 in simplest fraction form is 7/20.

What is 3/20 plus 2/10 as a decimal?

3/20 + 2/10 converted to a decimal is 0.35.

What is 3/20 plus 2/10 as a percentage?

3/20 + 2/10 expressed as a percentage is 35%.

Does 3/20 plus 2/10 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.35) because the denominator in simplest terms contains only prime factors 2 and/or 5.