What is 4/18 plus 2/3? (Answer: 8/9)

Exact Answer

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Problem: What is 4/18 plus 2/3?
Formula / Expression: 4/18 + 2/3
Final Answer: 8/9
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 18 is an exact multiple of 3 (3 × 6 = 18). The Least Common Denominator (LCD) is simply 18, meaning we only need to scale one fraction.
Working: LCD(18, 3) = 18

Step 2: Convert to Equivalent Fractions with Common Denominator 18
Multiply the numerator and denominator of 4/18 by 1, and multiply the numerator and denominator of 2/3 by 6 so both fractions share the common base 18.
Working: 4 × 1/18 × 1 = 4/18 and 2 × 6/3 × 6 = 12/18

Step 3: Add the Numerators
Now add the numerators (4 + 12 = 16) and keep the common denominator 18 unchanged.
Working: 4 + 12/18 = 16/18

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 18, which is 2. Divide both the numerator and denominator by 2.
Working: 16 ÷ 2/18 ÷ 2 = 8/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 8 by denominator 9 produces a repeating decimal (approximately 0.888889, or 88.8889%).
Working: 8 ÷ 9 = 0.888889 (88.8889%)

Key Values:
- Simplified Fraction: 8/9
- Mixed Number Form: 8/9
- Decimal Value: 0.888889
- Percentage: 88.8889%

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Solved with FractionsCalc:
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4/18 + 2/3 = 8/9

Simplified Fraction

8/9

Mixed Number

Proper (8/9)

Decimal Value

0.888889

Percentage

88.8889%

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Step-by-Step Solution: 4/18 + 2/3

Step 1

Find the Least Common Denominator (LCD)

Notice that 18 is an exact multiple of 3 (3 × 6 = 18). The Least Common Denominator (LCD) is simply 18, meaning we only need to scale one fraction.

LCD(18, 3) = 18

Step 2

Convert to Equivalent Fractions with Common Denominator 18

Multiply the numerator and denominator of 4/18 by 1, and multiply the numerator and denominator of 2/3 by 6 so both fractions share the common base 18.

4 × 1/18 × 1 = 4/18 and 2 × 6/3 × 6 = 12/18

Step 3

Add the Numerators

Now add the numerators (4 + 12 = 16) and keep the common denominator 18 unchanged.

4 + 12/18 = 16/18

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 16 and 18, which is 2. Divide both the numerator and denominator by 2.

16 ÷ 2/18 ÷ 2 = 8/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 8 by denominator 9 produces a repeating decimal (approximately 0.888889, or 88.8889%).

8 ÷ 9 = 0.888889 (88.8889%)

Visual Representation

The diagram below illustrates 4/18 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/9`
Mixed Number Form	`8/9`
Decimal Form	`0.888889`
Percentage	`88.8889%`

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Frequently Asked Questions

What is 4/18 plus 2/3 as a fraction?

4/18 + 2/3 in simplest fraction form is 8/9.

What is 4/18 plus 2/3 as a decimal?

4/18 + 2/3 converted to a decimal is 0.888889.

What is 4/18 plus 2/3 as a percentage?

4/18 + 2/3 expressed as a percentage is 88.8889%.

Does 4/18 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.888889...) because the denominator contains prime factors other than 2 and 5.