What is 5/9 plus 9/15? (Answer: 52/45)

Exact Answer

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Problem: What is 5/9 plus 9/15?
Formula / Expression: 5/9 + 9/15
Final Answer: 1 7/45 (52/45)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 15 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 45 (which is smaller than their product 9 × 15 = 135, keeping the calculation simpler).
Working: LCD(9, 15) = 45

Step 2: Convert to Equivalent Fractions with Common Denominator 45
Multiply the numerator and denominator of 5/9 by 5, and multiply the numerator and denominator of 9/15 by 3 so both fractions share the common base 45.
Working: 5 × 5/9 × 5 = 25/45 and 9 × 3/15 × 3 = 27/45

Step 3: Add the Numerators
Now add the numerators (25 + 27 = 52) and keep the common denominator 45 unchanged.
Working: 25 + 27/45 = 52/45

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 52 and 45 is 1, confirming that 52/45 cannot be reduced further—it is already in its simplest irreducible form.
Working: 52/45

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (52) is greater than the denominator (45), divide 52 by 45: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/45.
Working: 52/45 = 1 7/45

Step 6: Decimal & Percentage Representation
Dividing the numerator 52 by denominator 45 produces a repeating decimal (approximately 1.155556, or 115.5556%).
Working: 52 ÷ 45 = 1.155556 (115.5556%)

Key Values:
- Simplified Fraction: 52/45
- Mixed Number Form: 1 7/45
- Decimal Value: 1.155556
- Percentage: 115.5556%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-9-plus-9-15/
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5/9 + 9/15 = 52/45

Simplified Fraction

52/45

Mixed Number

1 7/45

Decimal Value

1.155556

Percentage

115.5556%

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Step-by-Step Solution: 5/9 + 9/15

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 15 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 45 (which is smaller than their product 9 × 15 = 135, keeping the calculation simpler).

LCD(9, 15) = 45

Step 2

Convert to Equivalent Fractions with Common Denominator 45

Multiply the numerator and denominator of 5/9 by 5, and multiply the numerator and denominator of 9/15 by 3 so both fractions share the common base 45.

5 × 5/9 × 5 = 25/45 and 9 × 3/15 × 3 = 27/45

Step 3

Add the Numerators

Now add the numerators (25 + 27 = 52) and keep the common denominator 45 unchanged.

25 + 27/45 = 52/45

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 52 and 45 is 1, confirming that 52/45 cannot be reduced further—it is already in its simplest irreducible form.

52/45

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (52) is greater than the denominator (45), divide 52 by 45: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/45.

52/45 = 17/45

Step 6

Decimal & Percentage Representation

Dividing the numerator 52 by denominator 45 produces a repeating decimal (approximately 1.155556, or 115.5556%).

52 ÷ 45 = 1.155556 (115.5556%)

Visual Representation

The diagram below illustrates 5/9 plus 9/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`52/45`
Mixed Number Form	`1 7/45`
Decimal Form	`1.155556`
Percentage	`115.5556%`

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Frequently Asked Questions

What is 5/9 plus 9/15 as a fraction?

5/9 + 9/15 in simplest fraction form is 52/45 (or 1 7/45 as a mixed number).

What is 5/9 plus 9/15 as a decimal?

5/9 + 9/15 converted to a decimal is 1.155556.

What is 5/9 plus 9/15 as a percentage?

5/9 + 9/15 expressed as a percentage is 115.5556%.

How do you write 5/9 plus 9/15 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 52/45 can be written as the mixed number 1 7/45.

Does 5/9 plus 9/15 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.155556...) because the denominator contains prime factors other than 2 and 5.