What is 5/9 plus 8/9? (Answer: 13/9)

Exact Answer

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Problem: What is 5/9 plus 8/9?
Formula / Expression: 5/9 + 8/9
Final Answer: 1 4/9 (13/9)
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (9). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 9.
Working: 5/9 + 8/9

Step 2: Add the Numerators
Now add the numerators (5 + 8 = 13) and keep the common denominator 9 unchanged.
Working: 5 + 8/9 = 13/9

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 13 and 9 is 1, confirming that 13/9 cannot be reduced further—it is already in its simplest irreducible form.
Working: 13/9

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (13) is greater than the denominator (9), divide 13 by 9: it goes in 1 whole time(s) with a remainder of 4, giving the mixed number 1 4/9.
Working: 13/9 = 1 4/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 13 by denominator 9 produces a repeating decimal (approximately 1.444444, or 144.4444%).
Working: 13 ÷ 9 = 1.444444 (144.4444%)

Key Values:
- Simplified Fraction: 13/9
- Mixed Number Form: 1 4/9
- Decimal Value: 1.444444
- Percentage: 144.4444%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-9-plus-8-9/
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5/9 + 8/9 = 13/9

Simplified Fraction

13/9

Mixed Number

1 4/9

Decimal Value

1.444444

Percentage

144.4444%

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Step-by-Step Solution: 5/9 + 8/9

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (9). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 9.

5/9 + 8/9

Step 2

Add the Numerators

Now add the numerators (5 + 8 = 13) and keep the common denominator 9 unchanged.

5 + 8/9 = 13/9

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 13 and 9 is 1, confirming that 13/9 cannot be reduced further—it is already in its simplest irreducible form.

13/9

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (13) is greater than the denominator (9), divide 13 by 9: it goes in 1 whole time(s) with a remainder of 4, giving the mixed number 1 4/9.

13/9 = 14/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 13 by denominator 9 produces a repeating decimal (approximately 1.444444, or 144.4444%).

13 ÷ 9 = 1.444444 (144.4444%)

Visual Representation

The diagram below illustrates 5/9 plus 8/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/9`
Mixed Number Form	`1 4/9`
Decimal Form	`1.444444`
Percentage	`144.4444%`

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Frequently Asked Questions

What is 5/9 plus 8/9 as a fraction?

5/9 + 8/9 in simplest fraction form is 13/9 (or 1 4/9 as a mixed number).

What is 5/9 plus 8/9 as a decimal?

5/9 + 8/9 converted to a decimal is 1.444444.

What is 5/9 plus 8/9 as a percentage?

5/9 + 8/9 expressed as a percentage is 144.4444%.

How do you write 5/9 plus 8/9 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 13/9 can be written as the mixed number 1 4/9.

Does 5/9 plus 8/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.444444...) because the denominator contains prime factors other than 2 and 5.