What is 3/36 plus 2/4? (Answer: 7/12)

Exact Answer

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Problem: What is 3/36 plus 2/4?
Formula / Expression: 3/36 + 2/4
Final Answer: 7/12
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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 3/36 by 1, and multiply the numerator and denominator of 2/4 by 9 so both fractions share the common base 36.
Working: 3 × 1/36 × 1 = 3/36 and 2 × 9/4 × 9 = 18/36

Step 3: Add the Numerators
Now add the numerators (3 + 18 = 21) and keep the common denominator 36 unchanged.
Working: 3 + 18/36 = 21/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 21 and 36, which is 3. Divide both the numerator and denominator by 3.
Working: 21 ÷ 3/36 ÷ 3 = 7/12

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 12 produces a repeating decimal (approximately 0.583333, or 58.3333%).
Working: 7 ÷ 12 = 0.583333 (58.3333%)

Key Values:
- Simplified Fraction: 7/12
- Mixed Number Form: 7/12
- Decimal Value: 0.583333
- Percentage: 58.3333%

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Solved with FractionsCalc:
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3/36 + 2/4 = 7/12

Simplified Fraction

7/12

Mixed Number

Proper (7/12)

Decimal Value

0.583333

Percentage

58.3333%

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Step-by-Step Solution: 3/36 + 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 3/36 by 1, and multiply the numerator and denominator of 2/4 by 9 so both fractions share the common base 36.

3 × 1/36 × 1 = 3/36 and 2 × 9/4 × 9 = 18/36

Step 3

Add the Numerators

Now add the numerators (3 + 18 = 21) and keep the common denominator 36 unchanged.

3 + 18/36 = 21/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 21 and 36, which is 3. Divide both the numerator and denominator by 3.

21 ÷ 3/36 ÷ 3 = 7/12

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 12 produces a repeating decimal (approximately 0.583333, or 58.3333%).

7 ÷ 12 = 0.583333 (58.3333%)

Visual Representation

The diagram below illustrates 3/36 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/12`
Mixed Number Form	`7/12`
Decimal Form	`0.583333`
Percentage	`58.3333%`

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Frequently Asked Questions

What is 3/36 plus 2/4 as a fraction?

3/36 + 2/4 in simplest fraction form is 7/12.

What is 3/36 plus 2/4 as a decimal?

3/36 + 2/4 converted to a decimal is 0.583333.

What is 3/36 plus 2/4 as a percentage?

3/36 + 2/4 expressed as a percentage is 58.3333%.

Does 3/36 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.583333...) because the denominator contains prime factors other than 2 and 5.