What is 4/18 plus 4/8? (Answer: 13/18)

Exact Answer

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Problem: What is 4/18 plus 4/8?
Formula / Expression: 4/18 + 4/8
Final Answer: 13/18
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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 4/18 by 4, and multiply the numerator and denominator of 4/8 by 9 so both fractions share the common base 72.
Working: 4 × 4/18 × 4 = 16/72 and 4 × 9/8 × 9 = 36/72

Step 3: Add the Numerators
Now add the numerators (16 + 36 = 52) and keep the common denominator 72 unchanged.
Working: 16 + 36/72 = 52/72

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 52 and 72, which is 4. Divide both the numerator and denominator by 4.
Working: 52 ÷ 4/72 ÷ 4 = 13/18

Step 5: Decimal & Percentage Representation
Dividing the numerator 13 by denominator 18 produces a repeating decimal (approximately 0.722222, or 72.2222%).
Working: 13 ÷ 18 = 0.722222 (72.2222%)

Key Values:
- Simplified Fraction: 13/18
- Mixed Number Form: 13/18
- Decimal Value: 0.722222
- Percentage: 72.2222%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-18-plus-4-8/
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4/18 + 4/8 = 13/18

Simplified Fraction

13/18

Mixed Number

Proper (13/18)

Decimal Value

0.722222

Percentage

72.2222%

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Step-by-Step Solution: 4/18 + 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 4/18 by 4, and multiply the numerator and denominator of 4/8 by 9 so both fractions share the common base 72.

4 × 4/18 × 4 = 16/72 and 4 × 9/8 × 9 = 36/72

Step 3

Add the Numerators

Now add the numerators (16 + 36 = 52) and keep the common denominator 72 unchanged.

16 + 36/72 = 52/72

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 52 and 72, which is 4. Divide both the numerator and denominator by 4.

52 ÷ 4/72 ÷ 4 = 13/18

Step 5

Decimal & Percentage Representation

Dividing the numerator 13 by denominator 18 produces a repeating decimal (approximately 0.722222, or 72.2222%).

13 ÷ 18 = 0.722222 (72.2222%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/18`
Mixed Number Form	`13/18`
Decimal Form	`0.722222`
Percentage	`72.2222%`

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Frequently Asked Questions

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

4/18 + 4/8 in simplest fraction form is 13/18.

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

4/18 + 4/8 converted to a decimal is 0.722222.

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

4/18 + 4/8 expressed as a percentage is 72.2222%.

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

It results in a repeating decimal (approximately 0.722222...) because the denominator contains prime factors other than 2 and 5.