What is 4/9 plus 7/9? (Answer: 11/9)

Exact Answer

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Problem: What is 4/9 plus 7/9?
Formula / Expression: 4/9 + 7/9
Final Answer: 1 2/9 (11/9)
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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: 4/9 + 7/9

Step 2: Add the Numerators
Now add the numerators (4 + 7 = 11) and keep the common denominator 9 unchanged.
Working: 4 + 7/9 = 11/9

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 11 and 9 is 1, confirming that 11/9 cannot be reduced further—it is already in its simplest irreducible form.
Working: 11/9

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (9), divide 11 by 9: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/9.
Working: 11/9 = 1 2/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 9 produces a repeating decimal (approximately 1.222222, or 122.2222%).
Working: 11 ÷ 9 = 1.222222 (122.2222%)

Key Values:
- Simplified Fraction: 11/9
- Mixed Number Form: 1 2/9
- Decimal Value: 1.222222
- Percentage: 122.2222%

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Solved with FractionsCalc:
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4/9 + 7/9 = 11/9

Simplified Fraction

11/9

Mixed Number

1 2/9

Decimal Value

1.222222

Percentage

122.2222%

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Step-by-Step Solution: 4/9 + 7/9

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.

4/9 + 7/9

Step 2

Add the Numerators

Now add the numerators (4 + 7 = 11) and keep the common denominator 9 unchanged.

4 + 7/9 = 11/9

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 11 and 9 is 1, confirming that 11/9 cannot be reduced further—it is already in its simplest irreducible form.

11/9

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (11) is greater than the denominator (9), divide 11 by 9: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/9.

11/9 = 12/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 9 produces a repeating decimal (approximately 1.222222, or 122.2222%).

11 ÷ 9 = 1.222222 (122.2222%)

Visual Representation

The diagram below illustrates 4/9 plus 7/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/9`
Mixed Number Form	`1 2/9`
Decimal Form	`1.222222`
Percentage	`122.2222%`

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Frequently Asked Questions

What is 4/9 plus 7/9 as a fraction?

4/9 + 7/9 in simplest fraction form is 11/9 (or 1 2/9 as a mixed number).

What is 4/9 plus 7/9 as a decimal?

4/9 + 7/9 converted to a decimal is 1.222222.

What is 4/9 plus 7/9 as a percentage?

4/9 + 7/9 expressed as a percentage is 122.2222%.

How do you write 4/9 plus 7/9 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 11/9 can be written as the mixed number 1 2/9.

Does 4/9 plus 7/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.222222...) because the denominator contains prime factors other than 2 and 5.