What is 4/34 plus 2/4? (Answer: 21/34)

Exact Answer

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Problem: What is 4/34 plus 2/4?
Formula / Expression: 4/34 + 2/4
Final Answer: 21/34
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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 4/34 by 2, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.
Working: 4 × 2/34 × 2 = 8/68 and 2 × 17/4 × 17 = 34/68

Step 3: Add the Numerators
Now add the numerators (8 + 34 = 42) and keep the common denominator 68 unchanged.
Working: 8 + 34/68 = 42/68

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 68, which is 2. Divide both the numerator and denominator by 2.
Working: 42 ÷ 2/68 ÷ 2 = 21/34

Step 5: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 34 produces a repeating decimal (approximately 0.617647, or 61.7647%).
Working: 21 ÷ 34 = 0.617647 (61.7647%)

Key Values:
- Simplified Fraction: 21/34
- Mixed Number Form: 21/34
- Decimal Value: 0.617647
- Percentage: 61.7647%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-34-plus-2-4/
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4/34 + 2/4 = 21/34

Simplified Fraction

21/34

Mixed Number

Proper (21/34)

Decimal Value

0.617647

Percentage

61.7647%

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

4 × 2/34 × 2 = 8/68 and 2 × 17/4 × 17 = 34/68

Step 3

Add the Numerators

Now add the numerators (8 + 34 = 42) and keep the common denominator 68 unchanged.

8 + 34/68 = 42/68

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 42 and 68, which is 2. Divide both the numerator and denominator by 2.

42 ÷ 2/68 ÷ 2 = 21/34

Step 5

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 34 produces a repeating decimal (approximately 0.617647, or 61.7647%).

21 ÷ 34 = 0.617647 (61.7647%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/34`
Mixed Number Form	`21/34`
Decimal Form	`0.617647`
Percentage	`61.7647%`

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Frequently Asked Questions

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

4/34 + 2/4 in simplest fraction form is 21/34.

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

4/34 + 2/4 converted to a decimal is 0.617647.

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

4/34 + 2/4 expressed as a percentage is 61.7647%.

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

It results in a repeating decimal (approximately 0.617647...) because the denominator contains prime factors other than 2 and 5.