What is 7/34 plus 2/4? (Answer: 12/17)

Exact Answer

==================================================
Problem: What is 7/34 plus 2/4?
Formula / Expression: 7/34 + 2/4
Final Answer: 12/17
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 34 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 68 (which is smaller than their product 34 × 4 = 136, keeping the calculation simpler).
Working: LCD(34, 4) = 68

Step 2: Convert to Equivalent Fractions with Common Denominator 68
Multiply the numerator and denominator of 7/34 by 2, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.
Working: 7 × 2/34 × 2 = 14/68 and 2 × 17/4 × 17 = 34/68

Step 3: Add the Numerators
Now add the numerators (14 + 34 = 48) and keep the common denominator 68 unchanged.
Working: 14 + 34/68 = 48/68

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 48 and 68, which is 4. Divide both the numerator and denominator by 4.
Working: 48 ÷ 4/68 ÷ 4 = 12/17

Step 5: Decimal & Percentage Representation
Dividing the numerator 12 by denominator 17 produces a repeating decimal (approximately 0.705882, or 70.5882%).
Working: 12 ÷ 17 = 0.705882 (70.5882%)

Key Values:
- Simplified Fraction: 12/17
- Mixed Number Form: 12/17
- Decimal Value: 0.705882
- Percentage: 70.5882%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-7-34-plus-2-4/
==================================================

7/34 + 2/4 = 12/17

Simplified Fraction

12/17

Mixed Number

Proper (12/17)

Decimal Value

0.705882

Percentage

70.5882%

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: 7/34 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 34 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 68 (which is smaller than their product 34 × 4 = 136, keeping the calculation simpler).

LCD(34, 4) = 68

Step 2

Convert to Equivalent Fractions with Common Denominator 68

Multiply the numerator and denominator of 7/34 by 2, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.

7 × 2/34 × 2 = 14/68 and 2 × 17/4 × 17 = 34/68

Step 3

Add the Numerators

Now add the numerators (14 + 34 = 48) and keep the common denominator 68 unchanged.

14 + 34/68 = 48/68

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 48 and 68, which is 4. Divide both the numerator and denominator by 4.

48 ÷ 4/68 ÷ 4 = 12/17

Step 5

Decimal & Percentage Representation

Dividing the numerator 12 by denominator 17 produces a repeating decimal (approximately 0.705882, or 70.5882%).

12 ÷ 17 = 0.705882 (70.5882%)

Visual Representation

The diagram below illustrates 7/34 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`12/17`
Mixed Number Form	`12/17`
Decimal Form	`0.705882`
Percentage	`70.5882%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 7/34 plus 2/4 as a fraction?

7/34 + 2/4 in simplest fraction form is 12/17.

What is 7/34 plus 2/4 as a decimal?

7/34 + 2/4 converted to a decimal is 0.705882.

What is 7/34 plus 2/4 as a percentage?

7/34 + 2/4 expressed as a percentage is 70.5882%.

Does 7/34 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.705882...) because the denominator contains prime factors other than 2 and 5.