What is 2/4 plus 11/18? (Answer: 10/9)

Exact Answer

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Problem: What is 2/4 plus 11/18?
Formula / Expression: 2/4 + 11/18
Final Answer: 1 1/9 (10/9)
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 2/4 by 9, and multiply the numerator and denominator of 11/18 by 2 so both fractions share the common base 36.
Working: 2 × 9/4 × 9 = 18/36 and 11 × 2/18 × 2 = 22/36

Step 3: Add the Numerators
Now add the numerators (18 + 22 = 40) and keep the common denominator 36 unchanged.
Working: 18 + 22/36 = 40/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 40 and 36, which is 4. Divide both the numerator and denominator by 4.
Working: 40 ÷ 4/36 ÷ 4 = 10/9

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (10) is greater than the denominator (9), divide 10 by 9: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/9.
Working: 10/9 = 1 1/9

Step 6: Decimal & Percentage Representation
Dividing the numerator 10 by denominator 9 produces a repeating decimal (approximately 1.111111, or 111.1111%).
Working: 10 ÷ 9 = 1.111111 (111.1111%)

Key Values:
- Simplified Fraction: 10/9
- Mixed Number Form: 1 1/9
- Decimal Value: 1.111111
- Percentage: 111.1111%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-4-plus-11-18/
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2/4 + 11/18 = 10/9

Simplified Fraction

10/9

Mixed Number

1 1/9

Decimal Value

1.111111

Percentage

111.1111%

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Step-by-Step Solution: 2/4 + 11/18

Step 1

Find the Least Common Denominator (LCD)

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

LCD(4, 18) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 2/4 by 9, and multiply the numerator and denominator of 11/18 by 2 so both fractions share the common base 36.

2 × 9/4 × 9 = 18/36 and 11 × 2/18 × 2 = 22/36

Step 3

Add the Numerators

Now add the numerators (18 + 22 = 40) and keep the common denominator 36 unchanged.

18 + 22/36 = 40/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 40 and 36, which is 4. Divide both the numerator and denominator by 4.

40 ÷ 4/36 ÷ 4 = 10/9

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (10) is greater than the denominator (9), divide 10 by 9: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/9.

10/9 = 11/9

Step 6

Decimal & Percentage Representation

Dividing the numerator 10 by denominator 9 produces a repeating decimal (approximately 1.111111, or 111.1111%).

10 ÷ 9 = 1.111111 (111.1111%)

Visual Representation

The diagram below illustrates 2/4 plus 11/18 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`10/9`
Mixed Number Form	`1 1/9`
Decimal Form	`1.111111`
Percentage	`111.1111%`

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Frequently Asked Questions

What is 2/4 plus 11/18 as a fraction?

2/4 + 11/18 in simplest fraction form is 10/9 (or 1 1/9 as a mixed number).

What is 2/4 plus 11/18 as a decimal?

2/4 + 11/18 converted to a decimal is 1.111111.

What is 2/4 plus 11/18 as a percentage?

2/4 + 11/18 expressed as a percentage is 111.1111%.

How do you write 2/4 plus 11/18 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 10/9 can be written as the mixed number 1 1/9.

Does 2/4 plus 11/18 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.111111...) because the denominator contains prime factors other than 2 and 5.