What is 5/36 plus 2/4? (Answer: 23/36)

Exact Answer

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Problem: What is 5/36 plus 2/4?
Formula / Expression: 5/36 + 2/4
Final Answer: 23/36
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 36 is an exact multiple of 4 (4 × 9 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.
Working: LCD(36, 4) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 5/36 by 1, and multiply the numerator and denominator of 2/4 by 9 so both fractions share the common base 36.
Working: 5 × 1/36 × 1 = 5/36 and 2 × 9/4 × 9 = 18/36

Step 3: Add the Numerators
Now add the numerators (5 + 18 = 23) and keep the common denominator 36 unchanged.
Working: 5 + 18/36 = 23/36

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 23 and 36 is 1, confirming that 23/36 cannot be reduced further—it is already in its simplest irreducible form.
Working: 23/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 23 by denominator 36 produces a repeating decimal (approximately 0.638889, or 63.8889%).
Working: 23 ÷ 36 = 0.638889 (63.8889%)

Key Values:
- Simplified Fraction: 23/36
- Mixed Number Form: 23/36
- Decimal Value: 0.638889
- Percentage: 63.8889%

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Solved with FractionsCalc:
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5/36 + 2/4 = 23/36

Simplified Fraction

23/36

Mixed Number

Proper (23/36)

Decimal Value

0.638889

Percentage

63.8889%

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Step-by-Step Solution: 5/36 + 2/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 36 is an exact multiple of 4 (4 × 9 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.

LCD(36, 4) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 5/36 by 1, and multiply the numerator and denominator of 2/4 by 9 so both fractions share the common base 36.

5 × 1/36 × 1 = 5/36 and 2 × 9/4 × 9 = 18/36

Step 3

Add the Numerators

Now add the numerators (5 + 18 = 23) and keep the common denominator 36 unchanged.

5 + 18/36 = 23/36

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 23 and 36 is 1, confirming that 23/36 cannot be reduced further—it is already in its simplest irreducible form.

23/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 23 by denominator 36 produces a repeating decimal (approximately 0.638889, or 63.8889%).

23 ÷ 36 = 0.638889 (63.8889%)

Visual Representation

The diagram below illustrates 5/36 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/36`
Mixed Number Form	`23/36`
Decimal Form	`0.638889`
Percentage	`63.8889%`

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Frequently Asked Questions

What is 5/36 plus 2/4 as a fraction?

5/36 + 2/4 in simplest fraction form is 23/36.

What is 5/36 plus 2/4 as a decimal?

5/36 + 2/4 converted to a decimal is 0.638889.

What is 5/36 plus 2/4 as a percentage?

5/36 + 2/4 expressed as a percentage is 63.8889%.

Does 5/36 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.638889...) because the denominator contains prime factors other than 2 and 5.