What is 5/9 plus 5/9? (Answer: 10/9)

Exact Answer

==================================================
Problem: What is 5/9 plus 5/9?
Formula / Expression: 5/9 + 5/9
Final Answer: 1 1/9 (10/9)
==================================================

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 + 5/9

Step 2: Add the Numerators
Now add the numerators (5 + 5 = 10) and keep the common denominator 9 unchanged.
Working: 5 + 5/9 = 10/9

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 10 and 9 is 1, confirming that 10/9 cannot be reduced further—it is already in its simplest irreducible form.
Working: 10/9

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (10) is greater than the denominator (9), divide 10 by 9: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/9.
Working: 10/9 = 1 1/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 10 by denominator 9 produces a repeating decimal (approximately 1.111111, or 111.1111%).
Working: 10 ÷ 9 = 1.111111 (111.1111%)

Key Values:
- Simplified Fraction: 10/9
- Mixed Number Form: 1 1/9
- Decimal Value: 1.111111
- Percentage: 111.1111%

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

5/9 + 5/9 = 10/9

Simplified Fraction

10/9

Mixed Number

1 1/9

Decimal Value

1.111111

Percentage

111.1111%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

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

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 + 5/9

Step 2

Add the Numerators

Now add the numerators (5 + 5 = 10) and keep the common denominator 9 unchanged.

5 + 5/9 = 10/9

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 10 and 9 is 1, confirming that 10/9 cannot be reduced further—it is already in its simplest irreducible form.

10/9

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (10) is greater than the denominator (9), divide 10 by 9: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/9.

10/9 = 11/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 10 by denominator 9 produces a repeating decimal (approximately 1.111111, or 111.1111%).

10 ÷ 9 = 1.111111 (111.1111%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`10/9`
Mixed Number Form	`1 1/9`
Decimal Form	`1.111111`
Percentage	`111.1111%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

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

5/9 + 5/9 in simplest fraction form is 10/9 (or 1 1/9 as a mixed number).

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

5/9 + 5/9 converted to a decimal is 1.111111.

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

5/9 + 5/9 expressed as a percentage is 111.1111%.

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

Because the numerator is greater than the denominator, the improper fraction 10/9 can be written as the mixed number 1 1/9.

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

It results in a repeating decimal (approximately 1.111111...) because the denominator contains prime factors other than 2 and 5.