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

Exact Answer

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

Step 1: Find the Least Common Denominator (LCD)
The denominators 18 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 18 × 8 = 144, keeping the calculation simpler).
Working: LCD(18, 8) = 72

Step 2: Convert to Equivalent Fractions with Common Denominator 72
Multiply the numerator and denominator of 3/18 by 4, and multiply the numerator and denominator of 4/8 by 9 so both fractions share the common base 72.
Working: 3 × 4/18 × 4 = 12/72 and 4 × 9/8 × 9 = 36/72

Step 3: Add the Numerators
Now add the numerators (12 + 36 = 48) and keep the common denominator 72 unchanged.
Working: 12 + 36/72 = 48/72

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 48 and 72, which is 24. Divide both the numerator and denominator by 24.
Working: 48 ÷ 24/72 ÷ 24 = 2/3

Step 5: Decimal & Percentage Representation
Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).
Working: 2 ÷ 3 = 0.666667 (66.6667%)

Key Values:
- Simplified Fraction: 2/3
- Mixed Number Form: 2/3
- Decimal Value: 0.666667
- Percentage: 66.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-18-plus-4-8/
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3/18 + 4/8 = 2/3

Simplified Fraction

2/3

Mixed Number

Proper (2/3)

Decimal Value

0.666667

Percentage

66.6667%

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Step-by-Step Solution: 3/18 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 18 and 8 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 18 × 8 = 144, keeping the calculation simpler).

LCD(18, 8) = 72

Step 2

Convert to Equivalent Fractions with Common Denominator 72

Multiply the numerator and denominator of 3/18 by 4, and multiply the numerator and denominator of 4/8 by 9 so both fractions share the common base 72.

3 × 4/18 × 4 = 12/72 and 4 × 9/8 × 9 = 36/72

Step 3

Add the Numerators

Now add the numerators (12 + 36 = 48) and keep the common denominator 72 unchanged.

12 + 36/72 = 48/72

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 48 and 72, which is 24. Divide both the numerator and denominator by 24.

48 ÷ 24/72 ÷ 24 = 2/3

Step 5

Decimal & Percentage Representation

Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).

2 ÷ 3 = 0.666667 (66.6667%)

Visual Representation

The diagram below illustrates 3/18 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/3`
Mixed Number Form	`2/3`
Decimal Form	`0.666667`
Percentage	`66.6667%`

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Frequently Asked Questions

What is 3/18 plus 4/8 as a fraction?

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

What is 3/18 plus 4/8 as a decimal?

3/18 + 4/8 converted to a decimal is 0.666667.

What is 3/18 plus 4/8 as a percentage?

3/18 + 4/8 expressed as a percentage is 66.6667%.

Does 3/18 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.666667...) because the denominator contains prime factors other than 2 and 5.