What is 8/34 plus 2/3? (Answer: 46/51)

Exact Answer

==================================================
Problem: What is 8/34 plus 2/3?
Formula / Expression: 8/34 + 2/3
Final Answer: 46/51
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 34 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 34 × 3 = 102.
Working: LCD(34, 3) = 102

Step 2: Convert to Equivalent Fractions with Common Denominator 102
Multiply the numerator and denominator of 8/34 by 3, and multiply the numerator and denominator of 2/3 by 34 so both fractions share the common base 102.
Working: 8 × 3/34 × 3 = 24/102 and 2 × 34/3 × 34 = 68/102

Step 3: Add the Numerators
Now add the numerators (24 + 68 = 92) and keep the common denominator 102 unchanged.
Working: 24 + 68/102 = 92/102

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 92 and 102, which is 2. Divide both the numerator and denominator by 2.
Working: 92 ÷ 2/102 ÷ 2 = 46/51

Step 5: Decimal & Percentage Representation
Dividing the numerator 46 by denominator 51 produces a repeating decimal (approximately 0.901961, or 90.1961%).
Working: 46 ÷ 51 = 0.901961 (90.1961%)

Key Values:
- Simplified Fraction: 46/51
- Mixed Number Form: 46/51
- Decimal Value: 0.901961
- Percentage: 90.1961%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-34-plus-2-3/
==================================================

8/34 + 2/3 = 46/51

Simplified Fraction

46/51

Mixed Number

Proper (46/51)

Decimal Value

0.901961

Percentage

90.1961%

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: 8/34 + 2/3

Step 1

Find the Least Common Denominator (LCD)

The denominators 34 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 34 × 3 = 102.

LCD(34, 3) = 102

Step 2

Convert to Equivalent Fractions with Common Denominator 102

Multiply the numerator and denominator of 8/34 by 3, and multiply the numerator and denominator of 2/3 by 34 so both fractions share the common base 102.

8 × 3/34 × 3 = 24/102 and 2 × 34/3 × 34 = 68/102

Step 3

Add the Numerators

Now add the numerators (24 + 68 = 92) and keep the common denominator 102 unchanged.

24 + 68/102 = 92/102

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 92 and 102, which is 2. Divide both the numerator and denominator by 2.

92 ÷ 2/102 ÷ 2 = 46/51

Step 5

Decimal & Percentage Representation

Dividing the numerator 46 by denominator 51 produces a repeating decimal (approximately 0.901961, or 90.1961%).

46 ÷ 51 = 0.901961 (90.1961%)

Visual Representation

The diagram below illustrates 8/34 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`46/51`
Mixed Number Form	`46/51`
Decimal Form	`0.901961`
Percentage	`90.1961%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 8/34 plus 2/3 as a fraction?

8/34 + 2/3 in simplest fraction form is 46/51.

What is 8/34 plus 2/3 as a decimal?

8/34 + 2/3 converted to a decimal is 0.901961.

What is 8/34 plus 2/3 as a percentage?

8/34 + 2/3 expressed as a percentage is 90.1961%.

Does 8/34 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.901961...) because the denominator contains prime factors other than 2 and 5.