What is 2/34 plus 4/8? (Answer: 19/34)

Exact Answer

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Problem: What is 2/34 plus 4/8?
Formula / Expression: 2/34 + 4/8
Final Answer: 19/34
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 34 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 136 (which is smaller than their product 34 × 8 = 272, keeping the calculation simpler).
Working: LCD(34, 8) = 136

Step 2: Convert to Equivalent Fractions with Common Denominator 136
Multiply the numerator and denominator of 2/34 by 4, and multiply the numerator and denominator of 4/8 by 17 so both fractions share the common base 136.
Working: 2 × 4/34 × 4 = 8/136 and 4 × 17/8 × 17 = 68/136

Step 3: Add the Numerators
Now add the numerators (8 + 68 = 76) and keep the common denominator 136 unchanged.
Working: 8 + 68/136 = 76/136

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 76 and 136, which is 4. Divide both the numerator and denominator by 4.
Working: 76 ÷ 4/136 ÷ 4 = 19/34

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 34 produces a repeating decimal (approximately 0.558824, or 55.8824%).
Working: 19 ÷ 34 = 0.558824 (55.8824%)

Key Values:
- Simplified Fraction: 19/34
- Mixed Number Form: 19/34
- Decimal Value: 0.558824
- Percentage: 55.8824%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-34-plus-4-8/
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2/34 + 4/8 = 19/34

Simplified Fraction

19/34

Mixed Number

Proper (19/34)

Decimal Value

0.558824

Percentage

55.8824%

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Step-by-Step Solution: 2/34 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 34 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 136 (which is smaller than their product 34 × 8 = 272, keeping the calculation simpler).

LCD(34, 8) = 136

Step 2

Convert to Equivalent Fractions with Common Denominator 136

Multiply the numerator and denominator of 2/34 by 4, and multiply the numerator and denominator of 4/8 by 17 so both fractions share the common base 136.

2 × 4/34 × 4 = 8/136 and 4 × 17/8 × 17 = 68/136

Step 3

Add the Numerators

Now add the numerators (8 + 68 = 76) and keep the common denominator 136 unchanged.

8 + 68/136 = 76/136

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 76 and 136, which is 4. Divide both the numerator and denominator by 4.

76 ÷ 4/136 ÷ 4 = 19/34

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 34 produces a repeating decimal (approximately 0.558824, or 55.8824%).

19 ÷ 34 = 0.558824 (55.8824%)

Visual Representation

The diagram below illustrates 2/34 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/34`
Mixed Number Form	`19/34`
Decimal Form	`0.558824`
Percentage	`55.8824%`

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Frequently Asked Questions

What is 2/34 plus 4/8 as a fraction?

2/34 + 4/8 in simplest fraction form is 19/34.

What is 2/34 plus 4/8 as a decimal?

2/34 + 4/8 converted to a decimal is 0.558824.

What is 2/34 plus 4/8 as a percentage?

2/34 + 4/8 expressed as a percentage is 55.8824%.

Does 2/34 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.558824...) because the denominator contains prime factors other than 2 and 5.