What is 1/2 plus 9/15? (Answer: 11/10)

Exact Answer

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Problem: What is 1/2 plus 9/15?
Formula / Expression: 1/2 + 9/15
Final Answer: 1 1/10 (11/10)
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 30
Multiply the numerator and denominator of 1/2 by 15, and multiply the numerator and denominator of 9/15 by 2 so both fractions share the common base 30.
Working: 1 × 15/2 × 15 = 15/30 and 9 × 2/15 × 2 = 18/30

Step 3: Add the Numerators
Now add the numerators (15 + 18 = 33) and keep the common denominator 30 unchanged.
Working: 15 + 18/30 = 33/30

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 33 and 30, which is 3. Divide both the numerator and denominator by 3.
Working: 33 ÷ 3/30 ÷ 3 = 11/10

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.
Working: 11/10 = 1 1/10

Step 6: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).
Working: 11 ÷ 10 = 1.1 (110%)

Key Values:
- Simplified Fraction: 11/10
- Mixed Number Form: 1 1/10
- Decimal Value: 1.1
- Percentage: 110%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-2-plus-9-15/
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1/2 + 9/15 = 11/10

Simplified Fraction

11/10

Mixed Number

1 1/10

Decimal Value

1.1

Percentage

110%

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Step-by-Step Solution: 1/2 + 9/15

Step 1

Find the Least Common Denominator (LCD)

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

LCD(2, 15) = 30

Step 2

Convert to Equivalent Fractions with Common Denominator 30

Multiply the numerator and denominator of 1/2 by 15, and multiply the numerator and denominator of 9/15 by 2 so both fractions share the common base 30.

1 × 15/2 × 15 = 15/30 and 9 × 2/15 × 2 = 18/30

Step 3

Add the Numerators

Now add the numerators (15 + 18 = 33) and keep the common denominator 30 unchanged.

15 + 18/30 = 33/30

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 33 and 30, which is 3. Divide both the numerator and denominator by 3.

33 ÷ 3/30 ÷ 3 = 11/10

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.

11/10 = 11/10

Step 6

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).

11 ÷ 10 = 1.1 (110%)

Visual Representation

The diagram below illustrates 1/2 plus 9/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/10`
Mixed Number Form	`1 1/10`
Decimal Form	`1.1`
Percentage	`110%`

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Frequently Asked Questions

What is 1/2 plus 9/15 as a fraction?

1/2 + 9/15 in simplest fraction form is 11/10 (or 1 1/10 as a mixed number).

What is 1/2 plus 9/15 as a decimal?

1/2 + 9/15 converted to a decimal is 1.1.

What is 1/2 plus 9/15 as a percentage?

1/2 + 9/15 expressed as a percentage is 110%.

How do you write 1/2 plus 9/15 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 11/10 can be written as the mixed number 1 1/10.

Does 1/2 plus 9/15 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.1) because the denominator in simplest terms contains only prime factors 2 and/or 5.