What is 2/36 plus 2/9? (Answer: 5/18)

Exact Answer

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Problem: What is 2/36 plus 2/9?
Formula / Expression: 2/36 + 2/9
Final Answer: 5/18
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 2/36 by 1, and multiply the numerator and denominator of 2/9 by 4 so both fractions share the common base 36.
Working: 2 × 1/36 × 1 = 2/36 and 2 × 4/9 × 4 = 8/36

Step 3: Add the Numerators
Now add the numerators (2 + 8 = 10) and keep the common denominator 36 unchanged.
Working: 2 + 8/36 = 10/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 36, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/36 ÷ 2 = 5/18

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 18 produces a repeating decimal (approximately 0.277778, or 27.7778%).
Working: 5 ÷ 18 = 0.277778 (27.7778%)

Key Values:
- Simplified Fraction: 5/18
- Mixed Number Form: 5/18
- Decimal Value: 0.277778
- Percentage: 27.7778%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-36-plus-2-9/
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2/36 + 2/9 = 5/18

Simplified Fraction

5/18

Mixed Number

Proper (5/18)

Decimal Value

0.277778

Percentage

27.7778%

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Step-by-Step Solution: 2/36 + 2/9

Step 1

Find the Least Common Denominator (LCD)

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

LCD(36, 9) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

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

2 × 1/36 × 1 = 2/36 and 2 × 4/9 × 4 = 8/36

Step 3

Add the Numerators

Now add the numerators (2 + 8 = 10) and keep the common denominator 36 unchanged.

2 + 8/36 = 10/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 36, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/36 ÷ 2 = 5/18

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 18 produces a repeating decimal (approximately 0.277778, or 27.7778%).

5 ÷ 18 = 0.277778 (27.7778%)

Visual Representation

The diagram below illustrates 2/36 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/18`
Mixed Number Form	`5/18`
Decimal Form	`0.277778`
Percentage	`27.7778%`

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Frequently Asked Questions

What is 2/36 plus 2/9 as a fraction?

2/36 + 2/9 in simplest fraction form is 5/18.

What is 2/36 plus 2/9 as a decimal?

2/36 + 2/9 converted to a decimal is 0.277778.

What is 2/36 plus 2/9 as a percentage?

2/36 + 2/9 expressed as a percentage is 27.7778%.

Does 2/36 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.277778...) because the denominator contains prime factors other than 2 and 5.