What is 2/8 plus 9/29? (Answer: 65/116)

Exact Answer

==================================================
Problem: What is 2/8 plus 9/29?
Formula / Expression: 2/8 + 9/29
Final Answer: 65/116
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 29 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 29 = 232.
Working: LCD(8, 29) = 232

Step 2: Convert to Equivalent Fractions with Common Denominator 232
Multiply the numerator and denominator of 2/8 by 29, and multiply the numerator and denominator of 9/29 by 8 so both fractions share the common base 232.
Working: 2 × 29/8 × 29 = 58/232 and 9 × 8/29 × 8 = 72/232

Step 3: Add the Numerators
Now add the numerators (58 + 72 = 130) and keep the common denominator 232 unchanged.
Working: 58 + 72/232 = 130/232

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 130 and 232, which is 2. Divide both the numerator and denominator by 2.
Working: 130 ÷ 2/232 ÷ 2 = 65/116

Step 5: Decimal & Percentage Representation
Dividing the numerator 65 by denominator 116 produces a repeating decimal (approximately 0.560345, or 56.0345%).
Working: 65 ÷ 116 = 0.560345 (56.0345%)

Key Values:
- Simplified Fraction: 65/116
- Mixed Number Form: 65/116
- Decimal Value: 0.560345
- Percentage: 56.0345%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-29/
==================================================

2/8 + 9/29 = 65/116

Simplified Fraction

65/116

Mixed Number

Proper (65/116)

Decimal Value

0.560345

Percentage

56.0345%

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: 2/8 + 9/29

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 29 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 29 = 232.

LCD(8, 29) = 232

Step 2

Convert to Equivalent Fractions with Common Denominator 232

Multiply the numerator and denominator of 2/8 by 29, and multiply the numerator and denominator of 9/29 by 8 so both fractions share the common base 232.

2 × 29/8 × 29 = 58/232 and 9 × 8/29 × 8 = 72/232

Step 3

Add the Numerators

Now add the numerators (58 + 72 = 130) and keep the common denominator 232 unchanged.

58 + 72/232 = 130/232

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 130 and 232, which is 2. Divide both the numerator and denominator by 2.

130 ÷ 2/232 ÷ 2 = 65/116

Step 5

Decimal & Percentage Representation

Dividing the numerator 65 by denominator 116 produces a repeating decimal (approximately 0.560345, or 56.0345%).

65 ÷ 116 = 0.560345 (56.0345%)

Visual Representation

The diagram below illustrates 2/8 plus 9/29 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`65/116`
Mixed Number Form	`65/116`
Decimal Form	`0.560345`
Percentage	`56.0345%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/8 plus 9/29 as a fraction?

2/8 + 9/29 in simplest fraction form is 65/116.

What is 2/8 plus 9/29 as a decimal?

2/8 + 9/29 converted to a decimal is 0.560345.

What is 2/8 plus 9/29 as a percentage?

2/8 + 9/29 expressed as a percentage is 56.0345%.

Does 2/8 plus 9/29 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.560345...) because the denominator contains prime factors other than 2 and 5.