What is 2/12 plus 4/18? (Answer: 7/18)

Exact Answer

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Problem: What is 2/12 plus 4/18?
Formula / Expression: 2/12 + 4/18
Final Answer: 7/18
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 12 and 18 share a common factor (GCD = 6). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 12 × 18 = 216, keeping the calculation simpler).
Working: LCD(12, 18) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 2/12 by 3, and multiply the numerator and denominator of 4/18 by 2 so both fractions share the common base 36.
Working: 2 × 3/12 × 3 = 6/36 and 4 × 2/18 × 2 = 8/36

Step 3: Add the Numerators
Now add the numerators (6 + 8 = 14) and keep the common denominator 36 unchanged.
Working: 6 + 8/36 = 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-2-12-plus-4-18/
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2/12 + 4/18 = 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: 2/12 + 4/18

Step 1

Find the Least Common Denominator (LCD)

The denominators 12 and 18 share a common factor (GCD = 6). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 12 × 18 = 216, keeping the calculation simpler).

LCD(12, 18) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 2/12 by 3, and multiply the numerator and denominator of 4/18 by 2 so both fractions share the common base 36.

2 × 3/12 × 3 = 6/36 and 4 × 2/18 × 2 = 8/36

Step 3

Add the Numerators

Now add the numerators (6 + 8 = 14) and keep the common denominator 36 unchanged.

6 + 8/36 = 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 2/12 plus 4/18 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 2/12 plus 4/18 as a fraction?

2/12 + 4/18 in simplest fraction form is 7/18.

What is 2/12 plus 4/18 as a decimal?

2/12 + 4/18 converted to a decimal is 0.388889.

What is 2/12 plus 4/18 as a percentage?

2/12 + 4/18 expressed as a percentage is 38.8889%.

Does 2/12 plus 4/18 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.