What is 3/15 plus 1/2? (Answer: 7/10)

Exact Answer

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Problem: What is 3/15 plus 1/2?
Formula / Expression: 3/15 + 1/2
Final Answer: 7/10
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 15 and 2 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 2 = 30.
Working: LCD(15, 2) = 30

Step 2: Convert to Equivalent Fractions with Common Denominator 30
Multiply the numerator and denominator of 3/15 by 2, and multiply the numerator and denominator of 1/2 by 15 so both fractions share the common base 30.
Working: 3 × 2/15 × 2 = 6/30 and 1 × 15/2 × 15 = 15/30

Step 3: Add the Numerators
Now add the numerators (6 + 15 = 21) and keep the common denominator 30 unchanged.
Working: 6 + 15/30 = 21/30

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 21 and 30, which is 3. Divide both the numerator and denominator by 3.
Working: 21 ÷ 3/30 ÷ 3 = 7/10

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 10 yields an exact terminating decimal of 0.7 (or 70%).
Working: 7 ÷ 10 = 0.7 (70%)

Key Values:
- Simplified Fraction: 7/10
- Mixed Number Form: 7/10
- Decimal Value: 0.7
- Percentage: 70%

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Solved with FractionsCalc:
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3/15 + 1/2 = 7/10

Simplified Fraction

7/10

Mixed Number

Proper (7/10)

Decimal Value

0.7

Percentage

70%

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Step-by-Step Solution: 3/15 + 1/2

Step 1

Find the Least Common Denominator (LCD)

The denominators 15 and 2 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 2 = 30.

LCD(15, 2) = 30

Step 2

Convert to Equivalent Fractions with Common Denominator 30

Multiply the numerator and denominator of 3/15 by 2, and multiply the numerator and denominator of 1/2 by 15 so both fractions share the common base 30.

3 × 2/15 × 2 = 6/30 and 1 × 15/2 × 15 = 15/30

Step 3

Add the Numerators

Now add the numerators (6 + 15 = 21) and keep the common denominator 30 unchanged.

6 + 15/30 = 21/30

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 21 and 30, which is 3. Divide both the numerator and denominator by 3.

21 ÷ 3/30 ÷ 3 = 7/10

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 10 yields an exact terminating decimal of 0.7 (or 70%).

7 ÷ 10 = 0.7 (70%)

Visual Representation

The diagram below illustrates 3/15 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/10`
Mixed Number Form	`7/10`
Decimal Form	`0.7`
Percentage	`70%`

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Frequently Asked Questions

What is 3/15 plus 1/2 as a fraction?

3/15 + 1/2 in simplest fraction form is 7/10.

What is 3/15 plus 1/2 as a decimal?

3/15 + 1/2 converted to a decimal is 0.7.

What is 3/15 plus 1/2 as a percentage?

3/15 + 1/2 expressed as a percentage is 70%.

Does 3/15 plus 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.7) because the denominator in simplest terms contains only prime factors 2 and/or 5.