What is 5/34 plus 2/4? (Answer: 11/17)

Exact Answer

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Problem: What is 5/34 plus 2/4?
Formula / Expression: 5/34 + 2/4
Final Answer: 11/17
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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 5/34 by 2, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.
Working: 5 × 2/34 × 2 = 10/68 and 2 × 17/4 × 17 = 34/68

Step 3: Add the Numerators
Now add the numerators (10 + 34 = 44) and keep the common denominator 68 unchanged.
Working: 10 + 34/68 = 44/68

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 44 and 68, which is 4. Divide both the numerator and denominator by 4.
Working: 44 ÷ 4/68 ÷ 4 = 11/17

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 17 produces a repeating decimal (approximately 0.647059, or 64.7059%).
Working: 11 ÷ 17 = 0.647059 (64.7059%)

Key Values:
- Simplified Fraction: 11/17
- Mixed Number Form: 11/17
- Decimal Value: 0.647059
- Percentage: 64.7059%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-34-plus-2-4/
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5/34 + 2/4 = 11/17

Simplified Fraction

11/17

Mixed Number

Proper (11/17)

Decimal Value

0.647059

Percentage

64.7059%

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Step-by-Step Solution: 5/34 + 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 5/34 by 2, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.

5 × 2/34 × 2 = 10/68 and 2 × 17/4 × 17 = 34/68

Step 3

Add the Numerators

Now add the numerators (10 + 34 = 44) and keep the common denominator 68 unchanged.

10 + 34/68 = 44/68

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 44 and 68, which is 4. Divide both the numerator and denominator by 4.

44 ÷ 4/68 ÷ 4 = 11/17

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 17 produces a repeating decimal (approximately 0.647059, or 64.7059%).

11 ÷ 17 = 0.647059 (64.7059%)

Visual Representation

The diagram below illustrates 5/34 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/17`
Mixed Number Form	`11/17`
Decimal Form	`0.647059`
Percentage	`64.7059%`

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Frequently Asked Questions

What is 5/34 plus 2/4 as a fraction?

5/34 + 2/4 in simplest fraction form is 11/17.

What is 5/34 plus 2/4 as a decimal?

5/34 + 2/4 converted to a decimal is 0.647059.

What is 5/34 plus 2/4 as a percentage?

5/34 + 2/4 expressed as a percentage is 64.7059%.

Does 5/34 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.647059...) because the denominator contains prime factors other than 2 and 5.