What is 9/26 plus 7/13? (Answer: 23/26)

Exact Answer

==================================================
Problem: What is 9/26 plus 7/13?
Formula / Expression: 9/26 + 7/13
Final Answer: 23/26
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 26 is an exact multiple of 13 (13 × 2 = 26). The Least Common Denominator (LCD) is simply 26, meaning we only need to scale one fraction.
Working: LCD(26, 13) = 26

Step 2: Convert to Equivalent Fractions with Common Denominator 26
Multiply the numerator and denominator of 9/26 by 1, and multiply the numerator and denominator of 7/13 by 2 so both fractions share the common base 26.
Working: 9 × 1/26 × 1 = 9/26 and 7 × 2/13 × 2 = 14/26

Step 3: Add the Numerators
Now add the numerators (9 + 14 = 23) and keep the common denominator 26 unchanged.
Working: 9 + 14/26 = 23/26

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 23 and 26 is 1, confirming that 23/26 cannot be reduced further—it is already in its simplest irreducible form.
Working: 23/26

Step 5: Decimal & Percentage Representation
Dividing the numerator 23 by denominator 26 produces a repeating decimal (approximately 0.884615, or 88.4615%).
Working: 23 ÷ 26 = 0.884615 (88.4615%)

Key Values:
- Simplified Fraction: 23/26
- Mixed Number Form: 23/26
- Decimal Value: 0.884615
- Percentage: 88.4615%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-26-plus-7-13/
==================================================

9/26 + 7/13 = 23/26

Simplified Fraction

23/26

Mixed Number

Proper (23/26)

Decimal Value

0.884615

Percentage

88.4615%

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: 9/26 + 7/13

Step 1

Find the Least Common Denominator (LCD)

Notice that 26 is an exact multiple of 13 (13 × 2 = 26). The Least Common Denominator (LCD) is simply 26, meaning we only need to scale one fraction.

LCD(26, 13) = 26

Step 2

Convert to Equivalent Fractions with Common Denominator 26

Multiply the numerator and denominator of 9/26 by 1, and multiply the numerator and denominator of 7/13 by 2 so both fractions share the common base 26.

9 × 1/26 × 1 = 9/26 and 7 × 2/13 × 2 = 14/26

Step 3

Add the Numerators

Now add the numerators (9 + 14 = 23) and keep the common denominator 26 unchanged.

9 + 14/26 = 23/26

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 23 and 26 is 1, confirming that 23/26 cannot be reduced further—it is already in its simplest irreducible form.

23/26

Step 5

Decimal & Percentage Representation

Dividing the numerator 23 by denominator 26 produces a repeating decimal (approximately 0.884615, or 88.4615%).

23 ÷ 26 = 0.884615 (88.4615%)

Visual Representation

The diagram below illustrates 9/26 plus 7/13 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/26`
Mixed Number Form	`23/26`
Decimal Form	`0.884615`
Percentage	`88.4615%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 9/26 plus 7/13 as a fraction?

9/26 + 7/13 in simplest fraction form is 23/26.

What is 9/26 plus 7/13 as a decimal?

9/26 + 7/13 converted to a decimal is 0.884615.

What is 9/26 plus 7/13 as a percentage?

9/26 + 7/13 expressed as a percentage is 88.4615%.

Does 9/26 plus 7/13 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.884615...) because the denominator contains prime factors other than 2 and 5.