What is 8/26 plus 5/13? (Answer: 9/13)

Exact Answer

==================================================
Problem: What is 8/26 plus 5/13?
Formula / Expression: 8/26 + 5/13
Final Answer: 9/13
==================================================

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 8/26 by 1, and multiply the numerator and denominator of 5/13 by 2 so both fractions share the common base 26.
Working: 8 × 1/26 × 1 = 8/26 and 5 × 2/13 × 2 = 10/26

Step 3: Add the Numerators
Now add the numerators (8 + 10 = 18) and keep the common denominator 26 unchanged.
Working: 8 + 10/26 = 18/26

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 18 and 26, which is 2. Divide both the numerator and denominator by 2.
Working: 18 ÷ 2/26 ÷ 2 = 9/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 13 produces a repeating decimal (approximately 0.692308, or 69.2308%).
Working: 9 ÷ 13 = 0.692308 (69.2308%)

Key Values:
- Simplified Fraction: 9/13
- Mixed Number Form: 9/13
- Decimal Value: 0.692308
- Percentage: 69.2308%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-26-plus-5-13/
==================================================

8/26 + 5/13 = 9/13

Simplified Fraction

9/13

Mixed Number

Proper (9/13)

Decimal Value

0.692308

Percentage

69.2308%

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: 8/26 + 5/13

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 8/26 by 1, and multiply the numerator and denominator of 5/13 by 2 so both fractions share the common base 26.

8 × 1/26 × 1 = 8/26 and 5 × 2/13 × 2 = 10/26

Step 3

Add the Numerators

Now add the numerators (8 + 10 = 18) and keep the common denominator 26 unchanged.

8 + 10/26 = 18/26

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 18 and 26, which is 2. Divide both the numerator and denominator by 2.

18 ÷ 2/26 ÷ 2 = 9/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 13 produces a repeating decimal (approximately 0.692308, or 69.2308%).

9 ÷ 13 = 0.692308 (69.2308%)

Visual Representation

The diagram below illustrates 8/26 plus 5/13 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/13`
Mixed Number Form	`9/13`
Decimal Form	`0.692308`
Percentage	`69.2308%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 8/26 plus 5/13 as a fraction?

8/26 + 5/13 in simplest fraction form is 9/13.

What is 8/26 plus 5/13 as a decimal?

8/26 + 5/13 converted to a decimal is 0.692308.

What is 8/26 plus 5/13 as a percentage?

8/26 + 5/13 expressed as a percentage is 69.2308%.

Does 8/26 plus 5/13 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.692308...) because the denominator contains prime factors other than 2 and 5.