What is 2/8 plus 8/27? (Answer: 59/108)

Exact Answer

==================================================
Problem: What is 2/8 plus 8/27?
Formula / Expression: 2/8 + 8/27
Final Answer: 59/108
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 27 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 27 = 216.
Working: LCD(8, 27) = 216

Step 2: Convert to Equivalent Fractions with Common Denominator 216
Multiply the numerator and denominator of 2/8 by 27, and multiply the numerator and denominator of 8/27 by 8 so both fractions share the common base 216.
Working: 2 × 27/8 × 27 = 54/216 and 8 × 8/27 × 8 = 64/216

Step 3: Add the Numerators
Now add the numerators (54 + 64 = 118) and keep the common denominator 216 unchanged.
Working: 54 + 64/216 = 118/216

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 118 and 216, which is 2. Divide both the numerator and denominator by 2.
Working: 118 ÷ 2/216 ÷ 2 = 59/108

Step 5: Decimal & Percentage Representation
Dividing the numerator 59 by denominator 108 produces a repeating decimal (approximately 0.546296, or 54.6296%).
Working: 59 ÷ 108 = 0.546296 (54.6296%)

Key Values:
- Simplified Fraction: 59/108
- Mixed Number Form: 59/108
- Decimal Value: 0.546296
- Percentage: 54.6296%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-8-27/
==================================================

2/8 + 8/27 = 59/108

Simplified Fraction

59/108

Mixed Number

Proper (59/108)

Decimal Value

0.546296

Percentage

54.6296%

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 + 8/27

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 27 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 27 = 216.

LCD(8, 27) = 216

Step 2

Convert to Equivalent Fractions with Common Denominator 216

Multiply the numerator and denominator of 2/8 by 27, and multiply the numerator and denominator of 8/27 by 8 so both fractions share the common base 216.

2 × 27/8 × 27 = 54/216 and 8 × 8/27 × 8 = 64/216

Step 3

Add the Numerators

Now add the numerators (54 + 64 = 118) and keep the common denominator 216 unchanged.

54 + 64/216 = 118/216

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 118 and 216, which is 2. Divide both the numerator and denominator by 2.

118 ÷ 2/216 ÷ 2 = 59/108

Step 5

Decimal & Percentage Representation

Dividing the numerator 59 by denominator 108 produces a repeating decimal (approximately 0.546296, or 54.6296%).

59 ÷ 108 = 0.546296 (54.6296%)

Visual Representation

The diagram below illustrates 2/8 plus 8/27 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`59/108`
Mixed Number Form	`59/108`
Decimal Form	`0.546296`
Percentage	`54.6296%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/8 plus 8/27 as a fraction?

2/8 + 8/27 in simplest fraction form is 59/108.

What is 2/8 plus 8/27 as a decimal?

2/8 + 8/27 converted to a decimal is 0.546296.

What is 2/8 plus 8/27 as a percentage?

2/8 + 8/27 expressed as a percentage is 54.6296%.

Does 2/8 plus 8/27 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.546296...) because the denominator contains prime factors other than 2 and 5.