What is 3/26 plus 2/9? (Answer: 79/234)

Exact Answer

==================================================
Problem: What is 3/26 plus 2/9?
Formula / Expression: 3/26 + 2/9
Final Answer: 79/234
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 26 × 9 = 234.
Working: LCD(26, 9) = 234

Step 2: Convert to Equivalent Fractions with Common Denominator 234
Multiply the numerator and denominator of 3/26 by 9, and multiply the numerator and denominator of 2/9 by 26 so both fractions share the common base 234.
Working: 3 × 9/26 × 9 = 27/234 and 2 × 26/9 × 26 = 52/234

Step 3: Add the Numerators
Now add the numerators (27 + 52 = 79) and keep the common denominator 234 unchanged.
Working: 27 + 52/234 = 79/234

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 79 and 234 is 1, confirming that 79/234 cannot be reduced further—it is already in its simplest irreducible form.
Working: 79/234

Step 5: Decimal & Percentage Representation
Dividing the numerator 79 by denominator 234 produces a repeating decimal (approximately 0.337607, or 33.7607%).
Working: 79 ÷ 234 = 0.337607 (33.7607%)

Key Values:
- Simplified Fraction: 79/234
- Mixed Number Form: 79/234
- Decimal Value: 0.337607
- Percentage: 33.7607%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-26-plus-2-9/
==================================================

3/26 + 2/9 = 79/234

Simplified Fraction

79/234

Mixed Number

Proper (79/234)

Decimal Value

0.337607

Percentage

33.7607%

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: 3/26 + 2/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 26 × 9 = 234.

LCD(26, 9) = 234

Step 2

Convert to Equivalent Fractions with Common Denominator 234

Multiply the numerator and denominator of 3/26 by 9, and multiply the numerator and denominator of 2/9 by 26 so both fractions share the common base 234.

3 × 9/26 × 9 = 27/234 and 2 × 26/9 × 26 = 52/234

Step 3

Add the Numerators

Now add the numerators (27 + 52 = 79) and keep the common denominator 234 unchanged.

27 + 52/234 = 79/234

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 79 and 234 is 1, confirming that 79/234 cannot be reduced further—it is already in its simplest irreducible form.

79/234

Step 5

Decimal & Percentage Representation

Dividing the numerator 79 by denominator 234 produces a repeating decimal (approximately 0.337607, or 33.7607%).

79 ÷ 234 = 0.337607 (33.7607%)

Visual Representation

The diagram below illustrates 3/26 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`79/234`
Mixed Number Form	`79/234`
Decimal Form	`0.337607`
Percentage	`33.7607%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 3/26 plus 2/9 as a fraction?

3/26 + 2/9 in simplest fraction form is 79/234.

What is 3/26 plus 2/9 as a decimal?

3/26 + 2/9 converted to a decimal is 0.337607.

What is 3/26 plus 2/9 as a percentage?

3/26 + 2/9 expressed as a percentage is 33.7607%.

Does 3/26 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.337607...) because the denominator contains prime factors other than 2 and 5.