What is 5/15 plus 2/4? (Answer: 5/6)

Exact Answer

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Problem: What is 5/15 plus 2/4?
Formula / Expression: 5/15 + 2/4
Final Answer: 5/6
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 15 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 4 = 60.
Working: LCD(15, 4) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 5/15 by 4, and multiply the numerator and denominator of 2/4 by 15 so both fractions share the common base 60.
Working: 5 × 4/15 × 4 = 20/60 and 2 × 15/4 × 15 = 30/60

Step 3: Add the Numerators
Now add the numerators (20 + 30 = 50) and keep the common denominator 60 unchanged.
Working: 20 + 30/60 = 50/60

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 60, which is 10. Divide both the numerator and denominator by 10.
Working: 50 ÷ 10/60 ÷ 10 = 5/6

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).
Working: 5 ÷ 6 = 0.833333 (83.3333%)

Key Values:
- Simplified Fraction: 5/6
- Mixed Number Form: 5/6
- Decimal Value: 0.833333
- Percentage: 83.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-15-plus-2-4/
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5/15 + 2/4 = 5/6

Simplified Fraction

5/6

Mixed Number

Proper (5/6)

Decimal Value

0.833333

Percentage

83.3333%

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Step-by-Step Solution: 5/15 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 15 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 4 = 60.

LCD(15, 4) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 5/15 by 4, and multiply the numerator and denominator of 2/4 by 15 so both fractions share the common base 60.

5 × 4/15 × 4 = 20/60 and 2 × 15/4 × 15 = 30/60

Step 3

Add the Numerators

Now add the numerators (20 + 30 = 50) and keep the common denominator 60 unchanged.

20 + 30/60 = 50/60

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 60, which is 10. Divide both the numerator and denominator by 10.

50 ÷ 10/60 ÷ 10 = 5/6

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).

5 ÷ 6 = 0.833333 (83.3333%)

Visual Representation

The diagram below illustrates 5/15 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/6`
Mixed Number Form	`5/6`
Decimal Form	`0.833333`
Percentage	`83.3333%`

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Frequently Asked Questions

What is 5/15 plus 2/4 as a fraction?

5/15 + 2/4 in simplest fraction form is 5/6.

What is 5/15 plus 2/4 as a decimal?

5/15 + 2/4 converted to a decimal is 0.833333.

What is 5/15 plus 2/4 as a percentage?

5/15 + 2/4 expressed as a percentage is 83.3333%.

Does 5/15 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.833333...) because the denominator contains prime factors other than 2 and 5.