What is 2/35 plus 4/8? (Answer: 39/70)

Exact Answer

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Problem: What is 2/35 plus 4/8?
Formula / Expression: 2/35 + 4/8
Final Answer: 39/70
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 35 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 8 = 280.
Working: LCD(35, 8) = 280

Step 2: Convert to Equivalent Fractions with Common Denominator 280
Multiply the numerator and denominator of 2/35 by 8, and multiply the numerator and denominator of 4/8 by 35 so both fractions share the common base 280.
Working: 2 × 8/35 × 8 = 16/280 and 4 × 35/8 × 35 = 140/280

Step 3: Add the Numerators
Now add the numerators (16 + 140 = 156) and keep the common denominator 280 unchanged.
Working: 16 + 140/280 = 156/280

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 156 and 280, which is 4. Divide both the numerator and denominator by 4.
Working: 156 ÷ 4/280 ÷ 4 = 39/70

Step 5: Decimal & Percentage Representation
Dividing the numerator 39 by denominator 70 produces a repeating decimal (approximately 0.557143, or 55.7143%).
Working: 39 ÷ 70 = 0.557143 (55.7143%)

Key Values:
- Simplified Fraction: 39/70
- Mixed Number Form: 39/70
- Decimal Value: 0.557143
- Percentage: 55.7143%

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Solved with FractionsCalc:
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2/35 + 4/8 = 39/70

Simplified Fraction

39/70

Mixed Number

Proper (39/70)

Decimal Value

0.557143

Percentage

55.7143%

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Step-by-Step Solution: 2/35 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 35 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 8 = 280.

LCD(35, 8) = 280

Step 2

Convert to Equivalent Fractions with Common Denominator 280

Multiply the numerator and denominator of 2/35 by 8, and multiply the numerator and denominator of 4/8 by 35 so both fractions share the common base 280.

2 × 8/35 × 8 = 16/280 and 4 × 35/8 × 35 = 140/280

Step 3

Add the Numerators

Now add the numerators (16 + 140 = 156) and keep the common denominator 280 unchanged.

16 + 140/280 = 156/280

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 156 and 280, which is 4. Divide both the numerator and denominator by 4.

156 ÷ 4/280 ÷ 4 = 39/70

Step 5

Decimal & Percentage Representation

Dividing the numerator 39 by denominator 70 produces a repeating decimal (approximately 0.557143, or 55.7143%).

39 ÷ 70 = 0.557143 (55.7143%)

Visual Representation

The diagram below illustrates 2/35 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`39/70`
Mixed Number Form	`39/70`
Decimal Form	`0.557143`
Percentage	`55.7143%`

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Frequently Asked Questions

What is 2/35 plus 4/8 as a fraction?

2/35 + 4/8 in simplest fraction form is 39/70.

What is 2/35 plus 4/8 as a decimal?

2/35 + 4/8 converted to a decimal is 0.557143.

What is 2/35 plus 4/8 as a percentage?

2/35 + 4/8 expressed as a percentage is 55.7143%.

Does 2/35 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.557143...) because the denominator contains prime factors other than 2 and 5.