What is 2/8 plus 5/18? (Answer: 19/36)

Exact Answer

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Problem: What is 2/8 plus 5/18?
Formula / Expression: 2/8 + 5/18
Final Answer: 19/36
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 72
Multiply the numerator and denominator of 2/8 by 9, and multiply the numerator and denominator of 5/18 by 4 so both fractions share the common base 72.
Working: 2 × 9/8 × 9 = 18/72 and 5 × 4/18 × 4 = 20/72

Step 3: Add the Numerators
Now add the numerators (18 + 20 = 38) and keep the common denominator 72 unchanged.
Working: 18 + 20/72 = 38/72

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 38 and 72, which is 2. Divide both the numerator and denominator by 2.
Working: 38 ÷ 2/72 ÷ 2 = 19/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 36 produces a repeating decimal (approximately 0.527778, or 52.7778%).
Working: 19 ÷ 36 = 0.527778 (52.7778%)

Key Values:
- Simplified Fraction: 19/36
- Mixed Number Form: 19/36
- Decimal Value: 0.527778
- Percentage: 52.7778%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-5-18/
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2/8 + 5/18 = 19/36

Simplified Fraction

19/36

Mixed Number

Proper (19/36)

Decimal Value

0.527778

Percentage

52.7778%

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Step-by-Step Solution: 2/8 + 5/18

Step 1

Find the Least Common Denominator (LCD)

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

LCD(8, 18) = 72

Step 2

Convert to Equivalent Fractions with Common Denominator 72

Multiply the numerator and denominator of 2/8 by 9, and multiply the numerator and denominator of 5/18 by 4 so both fractions share the common base 72.

2 × 9/8 × 9 = 18/72 and 5 × 4/18 × 4 = 20/72

Step 3

Add the Numerators

Now add the numerators (18 + 20 = 38) and keep the common denominator 72 unchanged.

18 + 20/72 = 38/72

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 38 and 72, which is 2. Divide both the numerator and denominator by 2.

38 ÷ 2/72 ÷ 2 = 19/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 36 produces a repeating decimal (approximately 0.527778, or 52.7778%).

19 ÷ 36 = 0.527778 (52.7778%)

Visual Representation

The diagram below illustrates 2/8 plus 5/18 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/36`
Mixed Number Form	`19/36`
Decimal Form	`0.527778`
Percentage	`52.7778%`

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Frequently Asked Questions

What is 2/8 plus 5/18 as a fraction?

2/8 + 5/18 in simplest fraction form is 19/36.

What is 2/8 plus 5/18 as a decimal?

2/8 + 5/18 converted to a decimal is 0.527778.

What is 2/8 plus 5/18 as a percentage?

2/8 + 5/18 expressed as a percentage is 52.7778%.

Does 2/8 plus 5/18 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.527778...) because the denominator contains prime factors other than 2 and 5.