What is 2/34 plus 2/5? (Answer: 39/85)

Exact Answer

==================================================
Problem: What is 2/34 plus 2/5?
Formula / Expression: 2/34 + 2/5
Final Answer: 39/85
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 34 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 34 × 5 = 170.
Working: LCD(34, 5) = 170

Step 2: Convert to Equivalent Fractions with Common Denominator 170
Multiply the numerator and denominator of 2/34 by 5, and multiply the numerator and denominator of 2/5 by 34 so both fractions share the common base 170.
Working: 2 × 5/34 × 5 = 10/170 and 2 × 34/5 × 34 = 68/170

Step 3: Add the Numerators
Now add the numerators (10 + 68 = 78) and keep the common denominator 170 unchanged.
Working: 10 + 68/170 = 78/170

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 78 and 170, which is 2. Divide both the numerator and denominator by 2.
Working: 78 ÷ 2/170 ÷ 2 = 39/85

Step 5: Decimal & Percentage Representation
Dividing the numerator 39 by denominator 85 produces a repeating decimal (approximately 0.458824, or 45.8824%).
Working: 39 ÷ 85 = 0.458824 (45.8824%)

Key Values:
- Simplified Fraction: 39/85
- Mixed Number Form: 39/85
- Decimal Value: 0.458824
- Percentage: 45.8824%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-34-plus-2-5/
==================================================

2/34 + 2/5 = 39/85

Simplified Fraction

39/85

Mixed Number

Proper (39/85)

Decimal Value

0.458824

Percentage

45.8824%

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: 2/34 + 2/5

Step 1

Find the Least Common Denominator (LCD)

The denominators 34 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 34 × 5 = 170.

LCD(34, 5) = 170

Step 2

Convert to Equivalent Fractions with Common Denominator 170

Multiply the numerator and denominator of 2/34 by 5, and multiply the numerator and denominator of 2/5 by 34 so both fractions share the common base 170.

2 × 5/34 × 5 = 10/170 and 2 × 34/5 × 34 = 68/170

Step 3

Add the Numerators

Now add the numerators (10 + 68 = 78) and keep the common denominator 170 unchanged.

10 + 68/170 = 78/170

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 78 and 170, which is 2. Divide both the numerator and denominator by 2.

78 ÷ 2/170 ÷ 2 = 39/85

Step 5

Decimal & Percentage Representation

Dividing the numerator 39 by denominator 85 produces a repeating decimal (approximately 0.458824, or 45.8824%).

39 ÷ 85 = 0.458824 (45.8824%)

Visual Representation

The diagram below illustrates 2/34 plus 2/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`39/85`
Mixed Number Form	`39/85`
Decimal Form	`0.458824`
Percentage	`45.8824%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/34 plus 2/5 as a fraction?

2/34 + 2/5 in simplest fraction form is 39/85.

What is 2/34 plus 2/5 as a decimal?

2/34 + 2/5 converted to a decimal is 0.458824.

What is 2/34 plus 2/5 as a percentage?

2/34 + 2/5 expressed as a percentage is 45.8824%.

Does 2/34 plus 2/5 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.458824...) because the denominator contains prime factors other than 2 and 5.