What is 2/36 plus 2/6? (Answer: 7/18)

Exact Answer

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Problem: What is 2/36 plus 2/6?
Formula / Expression: 2/36 + 2/6
Final Answer: 7/18
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 36 is an exact multiple of 6 (6 × 6 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.
Working: LCD(36, 6) = 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 2/6 by 6 so both fractions share the common base 36.
Working: 2 × 1/36 × 1 = 2/36 and 2 × 6/6 × 6 = 12/36

Step 3: Add the Numerators
Now add the numerators (2 + 12 = 14) and keep the common denominator 36 unchanged.
Working: 2 + 12/36 = 14/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 14 and 36, which is 2. Divide both the numerator and denominator by 2.
Working: 14 ÷ 2/36 ÷ 2 = 7/18

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 18 produces a repeating decimal (approximately 0.388889, or 38.8889%).
Working: 7 ÷ 18 = 0.388889 (38.8889%)

Key Values:
- Simplified Fraction: 7/18
- Mixed Number Form: 7/18
- Decimal Value: 0.388889
- Percentage: 38.8889%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-36-plus-2-6/
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2/36 + 2/6 = 7/18

Simplified Fraction

7/18

Mixed Number

Proper (7/18)

Decimal Value

0.388889

Percentage

38.8889%

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Step-by-Step Solution: 2/36 + 2/6

Step 1

Find the Least Common Denominator (LCD)

Notice that 36 is an exact multiple of 6 (6 × 6 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.

LCD(36, 6) = 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 2/6 by 6 so both fractions share the common base 36.

2 × 1/36 × 1 = 2/36 and 2 × 6/6 × 6 = 12/36

Step 3

Add the Numerators

Now add the numerators (2 + 12 = 14) and keep the common denominator 36 unchanged.

2 + 12/36 = 14/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 14 and 36, which is 2. Divide both the numerator and denominator by 2.

14 ÷ 2/36 ÷ 2 = 7/18

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 18 produces a repeating decimal (approximately 0.388889, or 38.8889%).

7 ÷ 18 = 0.388889 (38.8889%)

Visual Representation

The diagram below illustrates 2/36 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/18`
Mixed Number Form	`7/18`
Decimal Form	`0.388889`
Percentage	`38.8889%`

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Frequently Asked Questions

What is 2/36 plus 2/6 as a fraction?

2/36 + 2/6 in simplest fraction form is 7/18.

What is 2/36 plus 2/6 as a decimal?

2/36 + 2/6 converted to a decimal is 0.388889.

What is 2/36 plus 2/6 as a percentage?

2/36 + 2/6 expressed as a percentage is 38.8889%.

Does 2/36 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.388889...) because the denominator contains prime factors other than 2 and 5.