What is 7/13 plus 9/13? (Answer: 16/13)

Exact Answer

==================================================
Problem: What is 7/13 plus 9/13?
Formula / Expression: 7/13 + 9/13
Final Answer: 1 3/13 (16/13)
==================================================

Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (13). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 13.
Working: 7/13 + 9/13

Step 2: Add the Numerators
Now add the numerators (7 + 9 = 16) and keep the common denominator 13 unchanged.
Working: 7 + 9/13 = 16/13

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 16 and 13 is 1, confirming that 16/13 cannot be reduced further—it is already in its simplest irreducible form.
Working: 16/13

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (16) is greater than the denominator (13), divide 16 by 13: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/13.
Working: 16/13 = 1 3/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 16 by denominator 13 produces a repeating decimal (approximately 1.230769, or 123.0769%).
Working: 16 ÷ 13 = 1.230769 (123.0769%)

Key Values:
- Simplified Fraction: 16/13
- Mixed Number Form: 1 3/13
- Decimal Value: 1.230769
- Percentage: 123.0769%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-7-13-plus-9-13/
==================================================

7/13 + 9/13 = 16/13

Simplified Fraction

16/13

Mixed Number

1 3/13

Decimal Value

1.230769

Percentage

123.0769%

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: 7/13 + 9/13

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (13). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 13.

7/13 + 9/13

Step 2

Add the Numerators

Now add the numerators (7 + 9 = 16) and keep the common denominator 13 unchanged.

7 + 9/13 = 16/13

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 16 and 13 is 1, confirming that 16/13 cannot be reduced further—it is already in its simplest irreducible form.

16/13

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (16) is greater than the denominator (13), divide 16 by 13: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/13.

16/13 = 13/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 16 by denominator 13 produces a repeating decimal (approximately 1.230769, or 123.0769%).

16 ÷ 13 = 1.230769 (123.0769%)

Visual Representation

The diagram below illustrates 7/13 plus 9/13 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`16/13`
Mixed Number Form	`1 3/13`
Decimal Form	`1.230769`
Percentage	`123.0769%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 7/13 plus 9/13 as a fraction?

7/13 + 9/13 in simplest fraction form is 16/13 (or 1 3/13 as a mixed number).

What is 7/13 plus 9/13 as a decimal?

7/13 + 9/13 converted to a decimal is 1.230769.

What is 7/13 plus 9/13 as a percentage?

7/13 + 9/13 expressed as a percentage is 123.0769%.

How do you write 7/13 plus 9/13 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 16/13 can be written as the mixed number 1 3/13.

Does 7/13 plus 9/13 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.230769...) because the denominator contains prime factors other than 2 and 5.