What is 7/23 plus 2/6? (Answer: 44/69)

Exact Answer

==================================================
Problem: What is 7/23 plus 2/6?
Formula / Expression: 7/23 + 2/6
Final Answer: 44/69
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 23 and 6 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 6 = 138.
Working: LCD(23, 6) = 138

Step 2: Convert to Equivalent Fractions with Common Denominator 138
Multiply the numerator and denominator of 7/23 by 6, and multiply the numerator and denominator of 2/6 by 23 so both fractions share the common base 138.
Working: 7 × 6/23 × 6 = 42/138 and 2 × 23/6 × 23 = 46/138

Step 3: Add the Numerators
Now add the numerators (42 + 46 = 88) and keep the common denominator 138 unchanged.
Working: 42 + 46/138 = 88/138

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 88 and 138, which is 2. Divide both the numerator and denominator by 2.
Working: 88 ÷ 2/138 ÷ 2 = 44/69

Step 5: Decimal & Percentage Representation
Dividing the numerator 44 by denominator 69 produces a repeating decimal (approximately 0.637681, or 63.7681%).
Working: 44 ÷ 69 = 0.637681 (63.7681%)

Key Values:
- Simplified Fraction: 44/69
- Mixed Number Form: 44/69
- Decimal Value: 0.637681
- Percentage: 63.7681%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-7-23-plus-2-6/
==================================================

7/23 + 2/6 = 44/69

Simplified Fraction

44/69

Mixed Number

Proper (44/69)

Decimal Value

0.637681

Percentage

63.7681%

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: 7/23 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 23 and 6 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 6 = 138.

LCD(23, 6) = 138

Step 2

Convert to Equivalent Fractions with Common Denominator 138

Multiply the numerator and denominator of 7/23 by 6, and multiply the numerator and denominator of 2/6 by 23 so both fractions share the common base 138.

7 × 6/23 × 6 = 42/138 and 2 × 23/6 × 23 = 46/138

Step 3

Add the Numerators

Now add the numerators (42 + 46 = 88) and keep the common denominator 138 unchanged.

42 + 46/138 = 88/138

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 88 and 138, which is 2. Divide both the numerator and denominator by 2.

88 ÷ 2/138 ÷ 2 = 44/69

Step 5

Decimal & Percentage Representation

Dividing the numerator 44 by denominator 69 produces a repeating decimal (approximately 0.637681, or 63.7681%).

44 ÷ 69 = 0.637681 (63.7681%)

Visual Representation

The diagram below illustrates 7/23 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`44/69`
Mixed Number Form	`44/69`
Decimal Form	`0.637681`
Percentage	`63.7681%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 7/23 plus 2/6 as a fraction?

7/23 + 2/6 in simplest fraction form is 44/69.

What is 7/23 plus 2/6 as a decimal?

7/23 + 2/6 converted to a decimal is 0.637681.

What is 7/23 plus 2/6 as a percentage?

7/23 + 2/6 expressed as a percentage is 63.7681%.

Does 7/23 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.637681...) because the denominator contains prime factors other than 2 and 5.