What is 5/18 plus 2/4? (Answer: 7/9)

Exact Answer

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Problem: What is 5/18 plus 2/4?
Formula / Expression: 5/18 + 2/4
Final Answer: 7/9
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 18 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 18 × 4 = 72, keeping the calculation simpler).
Working: LCD(18, 4) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 5/18 by 2, and multiply the numerator and denominator of 2/4 by 9 so both fractions share the common base 36.
Working: 5 × 2/18 × 2 = 10/36 and 2 × 9/4 × 9 = 18/36

Step 3: Add the Numerators
Now add the numerators (10 + 18 = 28) and keep the common denominator 36 unchanged.
Working: 10 + 18/36 = 28/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 28 and 36, which is 4. Divide both the numerator and denominator by 4.
Working: 28 ÷ 4/36 ÷ 4 = 7/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 9 produces a repeating decimal (approximately 0.777778, or 77.7778%).
Working: 7 ÷ 9 = 0.777778 (77.7778%)

Key Values:
- Simplified Fraction: 7/9
- Mixed Number Form: 7/9
- Decimal Value: 0.777778
- Percentage: 77.7778%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-18-plus-2-4/
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5/18 + 2/4 = 7/9

Simplified Fraction

7/9

Mixed Number

Proper (7/9)

Decimal Value

0.777778

Percentage

77.7778%

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Step-by-Step Solution: 5/18 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 18 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 18 × 4 = 72, keeping the calculation simpler).

LCD(18, 4) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 5/18 by 2, and multiply the numerator and denominator of 2/4 by 9 so both fractions share the common base 36.

5 × 2/18 × 2 = 10/36 and 2 × 9/4 × 9 = 18/36

Step 3

Add the Numerators

Now add the numerators (10 + 18 = 28) and keep the common denominator 36 unchanged.

10 + 18/36 = 28/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 28 and 36, which is 4. Divide both the numerator and denominator by 4.

28 ÷ 4/36 ÷ 4 = 7/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 9 produces a repeating decimal (approximately 0.777778, or 77.7778%).

7 ÷ 9 = 0.777778 (77.7778%)

Visual Representation

The diagram below illustrates 5/18 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/9`
Mixed Number Form	`7/9`
Decimal Form	`0.777778`
Percentage	`77.7778%`

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Frequently Asked Questions

What is 5/18 plus 2/4 as a fraction?

5/18 + 2/4 in simplest fraction form is 7/9.

What is 5/18 plus 2/4 as a decimal?

5/18 + 2/4 converted to a decimal is 0.777778.

What is 5/18 plus 2/4 as a percentage?

5/18 + 2/4 expressed as a percentage is 77.7778%.

Does 5/18 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.777778...) because the denominator contains prime factors other than 2 and 5.