What is 2/26 plus 9/39? (Answer: 4/13)

Exact Answer

==================================================
Problem: What is 2/26 plus 9/39?
Formula / Expression: 2/26 + 9/39
Final Answer: 4/13
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 39 share a common factor (GCD = 13). Finding their Least Common Multiple gives an LCD of 78 (which is smaller than their product 26 × 39 = 1014, keeping the calculation simpler).
Working: LCD(26, 39) = 78

Step 2: Convert to Equivalent Fractions with Common Denominator 78
Multiply the numerator and denominator of 2/26 by 3, and multiply the numerator and denominator of 9/39 by 2 so both fractions share the common base 78.
Working: 2 × 3/26 × 3 = 6/78 and 9 × 2/39 × 2 = 18/78

Step 3: Add the Numerators
Now add the numerators (6 + 18 = 24) and keep the common denominator 78 unchanged.
Working: 6 + 18/78 = 24/78

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 24 and 78, which is 6. Divide both the numerator and denominator by 6.
Working: 24 ÷ 6/78 ÷ 6 = 4/13

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 13 produces a repeating decimal (approximately 0.307692, or 30.7692%).
Working: 4 ÷ 13 = 0.307692 (30.7692%)

Key Values:
- Simplified Fraction: 4/13
- Mixed Number Form: 4/13
- Decimal Value: 0.307692
- Percentage: 30.7692%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-26-plus-9-39/
==================================================

2/26 + 9/39 = 4/13

Simplified Fraction

4/13

Mixed Number

Proper (4/13)

Decimal Value

0.307692

Percentage

30.7692%

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: 2/26 + 9/39

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 39 share a common factor (GCD = 13). Finding their Least Common Multiple gives an LCD of 78 (which is smaller than their product 26 × 39 = 1014, keeping the calculation simpler).

LCD(26, 39) = 78

Step 2

Convert to Equivalent Fractions with Common Denominator 78

Multiply the numerator and denominator of 2/26 by 3, and multiply the numerator and denominator of 9/39 by 2 so both fractions share the common base 78.

2 × 3/26 × 3 = 6/78 and 9 × 2/39 × 2 = 18/78

Step 3

Add the Numerators

Now add the numerators (6 + 18 = 24) and keep the common denominator 78 unchanged.

6 + 18/78 = 24/78

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 24 and 78, which is 6. Divide both the numerator and denominator by 6.

24 ÷ 6/78 ÷ 6 = 4/13

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 13 produces a repeating decimal (approximately 0.307692, or 30.7692%).

4 ÷ 13 = 0.307692 (30.7692%)

Visual Representation

The diagram below illustrates 2/26 plus 9/39 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/13`
Mixed Number Form	`4/13`
Decimal Form	`0.307692`
Percentage	`30.7692%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/26 plus 9/39 as a fraction?

2/26 + 9/39 in simplest fraction form is 4/13.

What is 2/26 plus 9/39 as a decimal?

2/26 + 9/39 converted to a decimal is 0.307692.

What is 2/26 plus 9/39 as a percentage?

2/26 + 9/39 expressed as a percentage is 30.7692%.

Does 2/26 plus 9/39 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.307692...) because the denominator contains prime factors other than 2 and 5.