What is 2/23 plus 3/9? (Answer: 29/69)

Exact Answer

==================================================
Problem: What is 2/23 plus 3/9?
Formula / Expression: 2/23 + 3/9
Final Answer: 29/69
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 23 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 9 = 207.
Working: LCD(23, 9) = 207

Step 2: Convert to Equivalent Fractions with Common Denominator 207
Multiply the numerator and denominator of 2/23 by 9, and multiply the numerator and denominator of 3/9 by 23 so both fractions share the common base 207.
Working: 2 × 9/23 × 9 = 18/207 and 3 × 23/9 × 23 = 69/207

Step 3: Add the Numerators
Now add the numerators (18 + 69 = 87) and keep the common denominator 207 unchanged.
Working: 18 + 69/207 = 87/207

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 87 and 207, which is 3. Divide both the numerator and denominator by 3.
Working: 87 ÷ 3/207 ÷ 3 = 29/69

Step 5: Decimal & Percentage Representation
Dividing the numerator 29 by denominator 69 produces a repeating decimal (approximately 0.42029, or 42.029%).
Working: 29 ÷ 69 = 0.42029 (42.029%)

Key Values:
- Simplified Fraction: 29/69
- Mixed Number Form: 29/69
- Decimal Value: 0.42029
- Percentage: 42.029%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-23-plus-3-9/
==================================================

2/23 + 3/9 = 29/69

Simplified Fraction

29/69

Mixed Number

Proper (29/69)

Decimal Value

0.42029

Percentage

42.029%

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: 2/23 + 3/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 23 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 9 = 207.

LCD(23, 9) = 207

Step 2

Convert to Equivalent Fractions with Common Denominator 207

Multiply the numerator and denominator of 2/23 by 9, and multiply the numerator and denominator of 3/9 by 23 so both fractions share the common base 207.

2 × 9/23 × 9 = 18/207 and 3 × 23/9 × 23 = 69/207

Step 3

Add the Numerators

Now add the numerators (18 + 69 = 87) and keep the common denominator 207 unchanged.

18 + 69/207 = 87/207

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 87 and 207, which is 3. Divide both the numerator and denominator by 3.

87 ÷ 3/207 ÷ 3 = 29/69

Step 5

Decimal & Percentage Representation

Dividing the numerator 29 by denominator 69 produces a repeating decimal (approximately 0.42029, or 42.029%).

29 ÷ 69 = 0.42029 (42.029%)

Visual Representation

The diagram below illustrates 2/23 plus 3/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/69`
Mixed Number Form	`29/69`
Decimal Form	`0.42029`
Percentage	`42.029%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/23 plus 3/9 as a fraction?

2/23 + 3/9 in simplest fraction form is 29/69.

What is 2/23 plus 3/9 as a decimal?

2/23 + 3/9 converted to a decimal is 0.42029.

What is 2/23 plus 3/9 as a percentage?

2/23 + 3/9 expressed as a percentage is 42.029%.

Does 2/23 plus 3/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.42029...) because the denominator contains prime factors other than 2 and 5.