What is 2/8 plus 8/17? (Answer: 49/68)

Exact Answer

==================================================
Problem: What is 2/8 plus 8/17?
Formula / Expression: 2/8 + 8/17
Final Answer: 49/68
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 17 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 17 = 136.
Working: LCD(8, 17) = 136

Step 2: Convert to Equivalent Fractions with Common Denominator 136
Multiply the numerator and denominator of 2/8 by 17, and multiply the numerator and denominator of 8/17 by 8 so both fractions share the common base 136.
Working: 2 × 17/8 × 17 = 34/136 and 8 × 8/17 × 8 = 64/136

Step 3: Add the Numerators
Now add the numerators (34 + 64 = 98) and keep the common denominator 136 unchanged.
Working: 34 + 64/136 = 98/136

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 98 and 136, which is 2. Divide both the numerator and denominator by 2.
Working: 98 ÷ 2/136 ÷ 2 = 49/68

Step 5: Decimal & Percentage Representation
Dividing the numerator 49 by denominator 68 produces a repeating decimal (approximately 0.720588, or 72.0588%).
Working: 49 ÷ 68 = 0.720588 (72.0588%)

Key Values:
- Simplified Fraction: 49/68
- Mixed Number Form: 49/68
- Decimal Value: 0.720588
- Percentage: 72.0588%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-8-17/
==================================================

2/8 + 8/17 = 49/68

Simplified Fraction

49/68

Mixed Number

Proper (49/68)

Decimal Value

0.720588

Percentage

72.0588%

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 + 8/17

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 17 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 17 = 136.

LCD(8, 17) = 136

Step 2

Convert to Equivalent Fractions with Common Denominator 136

Multiply the numerator and denominator of 2/8 by 17, and multiply the numerator and denominator of 8/17 by 8 so both fractions share the common base 136.

2 × 17/8 × 17 = 34/136 and 8 × 8/17 × 8 = 64/136

Step 3

Add the Numerators

Now add the numerators (34 + 64 = 98) and keep the common denominator 136 unchanged.

34 + 64/136 = 98/136

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 98 and 136, which is 2. Divide both the numerator and denominator by 2.

98 ÷ 2/136 ÷ 2 = 49/68

Step 5

Decimal & Percentage Representation

Dividing the numerator 49 by denominator 68 produces a repeating decimal (approximately 0.720588, or 72.0588%).

49 ÷ 68 = 0.720588 (72.0588%)

Visual Representation

The diagram below illustrates 2/8 plus 8/17 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`49/68`
Mixed Number Form	`49/68`
Decimal Form	`0.720588`
Percentage	`72.0588%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/8 plus 8/17 as a fraction?

2/8 + 8/17 in simplest fraction form is 49/68.

What is 2/8 plus 8/17 as a decimal?

2/8 + 8/17 converted to a decimal is 0.720588.

What is 2/8 plus 8/17 as a percentage?

2/8 + 8/17 expressed as a percentage is 72.0588%.

Does 2/8 plus 8/17 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.720588...) because the denominator contains prime factors other than 2 and 5.