What is 2/8 plus 4/15? (Answer: 31/60)

Exact Answer

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Problem: What is 2/8 plus 4/15?
Formula / Expression: 2/8 + 4/15
Final Answer: 31/60
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 15 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 15 = 120.
Working: LCD(8, 15) = 120

Step 2: Convert to Equivalent Fractions with Common Denominator 120
Multiply the numerator and denominator of 2/8 by 15, and multiply the numerator and denominator of 4/15 by 8 so both fractions share the common base 120.
Working: 2 × 15/8 × 15 = 30/120 and 4 × 8/15 × 8 = 32/120

Step 3: Add the Numerators
Now add the numerators (30 + 32 = 62) and keep the common denominator 120 unchanged.
Working: 30 + 32/120 = 62/120

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 120, which is 2. Divide both the numerator and denominator by 2.
Working: 62 ÷ 2/120 ÷ 2 = 31/60

Step 5: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 60 produces a repeating decimal (approximately 0.516667, or 51.6667%).
Working: 31 ÷ 60 = 0.516667 (51.6667%)

Key Values:
- Simplified Fraction: 31/60
- Mixed Number Form: 31/60
- Decimal Value: 0.516667
- Percentage: 51.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-4-15/
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2/8 + 4/15 = 31/60

Simplified Fraction

31/60

Mixed Number

Proper (31/60)

Decimal Value

0.516667

Percentage

51.6667%

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Step-by-Step Solution: 2/8 + 4/15

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 15 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 15 = 120.

LCD(8, 15) = 120

Step 2

Convert to Equivalent Fractions with Common Denominator 120

Multiply the numerator and denominator of 2/8 by 15, and multiply the numerator and denominator of 4/15 by 8 so both fractions share the common base 120.

2 × 15/8 × 15 = 30/120 and 4 × 8/15 × 8 = 32/120

Step 3

Add the Numerators

Now add the numerators (30 + 32 = 62) and keep the common denominator 120 unchanged.

30 + 32/120 = 62/120

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 62 and 120, which is 2. Divide both the numerator and denominator by 2.

62 ÷ 2/120 ÷ 2 = 31/60

Step 5

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 60 produces a repeating decimal (approximately 0.516667, or 51.6667%).

31 ÷ 60 = 0.516667 (51.6667%)

Visual Representation

The diagram below illustrates 2/8 plus 4/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/60`
Mixed Number Form	`31/60`
Decimal Form	`0.516667`
Percentage	`51.6667%`

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Frequently Asked Questions

What is 2/8 plus 4/15 as a fraction?

2/8 + 4/15 in simplest fraction form is 31/60.

What is 2/8 plus 4/15 as a decimal?

2/8 + 4/15 converted to a decimal is 0.516667.

What is 2/8 plus 4/15 as a percentage?

2/8 + 4/15 expressed as a percentage is 51.6667%.

Does 2/8 plus 4/15 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.516667...) because the denominator contains prime factors other than 2 and 5.