What is 7/9 plus 8/9? (Answer: 5/3)

Exact Answer

==================================================
Problem: What is 7/9 plus 8/9?
Formula / Expression: 7/9 + 8/9
Final Answer: 1 2/3 (5/3)
==================================================

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: 7/9 + 8/9

Step 2: Add the Numerators
Now add the numerators (7 + 8 = 15) and keep the common denominator 9 unchanged.
Working: 7 + 8/9 = 15/9

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 15 and 9, which is 3. Divide both the numerator and denominator by 3.
Working: 15 ÷ 3/9 ÷ 3 = 5/3

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (5) is greater than the denominator (3), divide 5 by 3: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/3.
Working: 5/3 = 1 2/3

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 3 produces a repeating decimal (approximately 1.666667, or 166.6667%).
Working: 5 ÷ 3 = 1.666667 (166.6667%)

Key Values:
- Simplified Fraction: 5/3
- Mixed Number Form: 1 2/3
- Decimal Value: 1.666667
- Percentage: 166.6667%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-7-9-plus-8-9/
==================================================

7/9 + 8/9 = 5/3

Simplified Fraction

5/3

Mixed Number

1 2/3

Decimal Value

1.666667

Percentage

166.6667%

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: 7/9 + 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.

7/9 + 8/9

Step 2

Add the Numerators

Now add the numerators (7 + 8 = 15) and keep the common denominator 9 unchanged.

7 + 8/9 = 15/9

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 15 and 9, which is 3. Divide both the numerator and denominator by 3.

15 ÷ 3/9 ÷ 3 = 5/3

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (5) is greater than the denominator (3), divide 5 by 3: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/3.

5/3 = 12/3

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 3 produces a repeating decimal (approximately 1.666667, or 166.6667%).

5 ÷ 3 = 1.666667 (166.6667%)

Visual Representation

The diagram below illustrates 7/9 plus 8/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/3`
Mixed Number Form	`1 2/3`
Decimal Form	`1.666667`
Percentage	`166.6667%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 7/9 plus 8/9 as a fraction?

7/9 + 8/9 in simplest fraction form is 5/3 (or 1 2/3 as a mixed number).

What is 7/9 plus 8/9 as a decimal?

7/9 + 8/9 converted to a decimal is 1.666667.

What is 7/9 plus 8/9 as a percentage?

7/9 + 8/9 expressed as a percentage is 166.6667%.

How do you write 7/9 plus 8/9 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 5/3 can be written as the mixed number 1 2/3.

Does 7/9 plus 8/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.666667...) because the denominator contains prime factors other than 2 and 5.