What is 6/9 plus 8/9? (Answer: 14/9)

Exact Answer

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Problem: What is 6/9 plus 8/9?
Formula / Expression: 6/9 + 8/9
Final Answer: 1 5/9 (14/9)
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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: 6/9 + 8/9

Step 2: Add the Numerators
Now add the numerators (6 + 8 = 14) and keep the common denominator 9 unchanged.
Working: 6 + 8/9 = 14/9

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 14 and 9 is 1, confirming that 14/9 cannot be reduced further—it is already in its simplest irreducible form.
Working: 14/9

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (14) is greater than the denominator (9), divide 14 by 9: it goes in 1 whole time(s) with a remainder of 5, giving the mixed number 1 5/9.
Working: 14/9 = 1 5/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 14 by denominator 9 produces a repeating decimal (approximately 1.555556, or 155.5556%).
Working: 14 ÷ 9 = 1.555556 (155.5556%)

Key Values:
- Simplified Fraction: 14/9
- Mixed Number Form: 1 5/9
- Decimal Value: 1.555556
- Percentage: 155.5556%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-6-9-plus-8-9/
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6/9 + 8/9 = 14/9

Simplified Fraction

14/9

Mixed Number

1 5/9

Decimal Value

1.555556

Percentage

155.5556%

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Step-by-Step Solution: 6/9 + 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.

6/9 + 8/9

Step 2

Add the Numerators

Now add the numerators (6 + 8 = 14) and keep the common denominator 9 unchanged.

6 + 8/9 = 14/9

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 14 and 9 is 1, confirming that 14/9 cannot be reduced further—it is already in its simplest irreducible form.

14/9

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (14) is greater than the denominator (9), divide 14 by 9: it goes in 1 whole time(s) with a remainder of 5, giving the mixed number 1 5/9.

14/9 = 15/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 14 by denominator 9 produces a repeating decimal (approximately 1.555556, or 155.5556%).

14 ÷ 9 = 1.555556 (155.5556%)

Visual Representation

The diagram below illustrates 6/9 plus 8/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`14/9`
Mixed Number Form	`1 5/9`
Decimal Form	`1.555556`
Percentage	`155.5556%`

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Frequently Asked Questions

What is 6/9 plus 8/9 as a fraction?

6/9 + 8/9 in simplest fraction form is 14/9 (or 1 5/9 as a mixed number).

What is 6/9 plus 8/9 as a decimal?

6/9 + 8/9 converted to a decimal is 1.555556.

What is 6/9 plus 8/9 as a percentage?

6/9 + 8/9 expressed as a percentage is 155.5556%.

How do you write 6/9 plus 8/9 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 14/9 can be written as the mixed number 1 5/9.

Does 6/9 plus 8/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.555556...) because the denominator contains prime factors other than 2 and 5.