What is 2/8 plus 9/11? (Answer: 47/44)

Exact Answer

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Problem: What is 2/8 plus 9/11?
Formula / Expression: 2/8 + 9/11
Final Answer: 1 3/44 (47/44)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 11 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 11 = 88.
Working: LCD(8, 11) = 88

Step 2: Convert to Equivalent Fractions with Common Denominator 88
Multiply the numerator and denominator of 2/8 by 11, and multiply the numerator and denominator of 9/11 by 8 so both fractions share the common base 88.
Working: 2 × 11/8 × 11 = 22/88 and 9 × 8/11 × 8 = 72/88

Step 3: Add the Numerators
Now add the numerators (22 + 72 = 94) and keep the common denominator 88 unchanged.
Working: 22 + 72/88 = 94/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 94 and 88, which is 2. Divide both the numerator and denominator by 2.
Working: 94 ÷ 2/88 ÷ 2 = 47/44

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (47) is greater than the denominator (44), divide 47 by 44: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/44.
Working: 47/44 = 1 3/44

Step 6: Decimal & Percentage Representation
Dividing the numerator 47 by denominator 44 produces a repeating decimal (approximately 1.068182, or 106.8182%).
Working: 47 ÷ 44 = 1.068182 (106.8182%)

Key Values:
- Simplified Fraction: 47/44
- Mixed Number Form: 1 3/44
- Decimal Value: 1.068182
- Percentage: 106.8182%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-11/
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2/8 + 9/11 = 47/44

Simplified Fraction

47/44

Mixed Number

1 3/44

Decimal Value

1.068182

Percentage

106.8182%

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Step-by-Step Solution: 2/8 + 9/11

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 11 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 8 × 11 = 88.

LCD(8, 11) = 88

Step 2

Convert to Equivalent Fractions with Common Denominator 88

Multiply the numerator and denominator of 2/8 by 11, and multiply the numerator and denominator of 9/11 by 8 so both fractions share the common base 88.

2 × 11/8 × 11 = 22/88 and 9 × 8/11 × 8 = 72/88

Step 3

Add the Numerators

Now add the numerators (22 + 72 = 94) and keep the common denominator 88 unchanged.

22 + 72/88 = 94/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 94 and 88, which is 2. Divide both the numerator and denominator by 2.

94 ÷ 2/88 ÷ 2 = 47/44

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (47) is greater than the denominator (44), divide 47 by 44: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/44.

47/44 = 13/44

Step 6

Decimal & Percentage Representation

Dividing the numerator 47 by denominator 44 produces a repeating decimal (approximately 1.068182, or 106.8182%).

47 ÷ 44 = 1.068182 (106.8182%)

Visual Representation

The diagram below illustrates 2/8 plus 9/11 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`47/44`
Mixed Number Form	`1 3/44`
Decimal Form	`1.068182`
Percentage	`106.8182%`

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Frequently Asked Questions

What is 2/8 plus 9/11 as a fraction?

2/8 + 9/11 in simplest fraction form is 47/44 (or 1 3/44 as a mixed number).

What is 2/8 plus 9/11 as a decimal?

2/8 + 9/11 converted to a decimal is 1.068182.

What is 2/8 plus 9/11 as a percentage?

2/8 + 9/11 expressed as a percentage is 106.8182%.

How do you write 2/8 plus 9/11 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 47/44 can be written as the mixed number 1 3/44.

Does 2/8 plus 9/11 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.068182...) because the denominator contains prime factors other than 2 and 5.