What is 2/8 plus 8/22? (Answer: 27/44)

Exact Answer

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Problem: What is 2/8 plus 8/22?
Formula / Expression: 2/8 + 8/22
Final Answer: 27/44
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 88 (which is smaller than their product 8 × 22 = 176, keeping the calculation simpler).
Working: LCD(8, 22) = 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 8/22 by 4 so both fractions share the common base 88.
Working: 2 × 11/8 × 11 = 22/88 and 8 × 4/22 × 4 = 32/88

Step 3: Add the Numerators
Now add the numerators (22 + 32 = 54) and keep the common denominator 88 unchanged.
Working: 22 + 32/88 = 54/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 54 and 88, which is 2. Divide both the numerator and denominator by 2.
Working: 54 ÷ 2/88 ÷ 2 = 27/44

Step 5: Decimal & Percentage Representation
Dividing the numerator 27 by denominator 44 produces a repeating decimal (approximately 0.613636, or 61.3636%).
Working: 27 ÷ 44 = 0.613636 (61.3636%)

Key Values:
- Simplified Fraction: 27/44
- Mixed Number Form: 27/44
- Decimal Value: 0.613636
- Percentage: 61.3636%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-8-22/
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2/8 + 8/22 = 27/44

Simplified Fraction

27/44

Mixed Number

Proper (27/44)

Decimal Value

0.613636

Percentage

61.3636%

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Step-by-Step Solution: 2/8 + 8/22

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 88 (which is smaller than their product 8 × 22 = 176, keeping the calculation simpler).

LCD(8, 22) = 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 8/22 by 4 so both fractions share the common base 88.

2 × 11/8 × 11 = 22/88 and 8 × 4/22 × 4 = 32/88

Step 3

Add the Numerators

Now add the numerators (22 + 32 = 54) and keep the common denominator 88 unchanged.

22 + 32/88 = 54/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 54 and 88, which is 2. Divide both the numerator and denominator by 2.

54 ÷ 2/88 ÷ 2 = 27/44

Step 5

Decimal & Percentage Representation

Dividing the numerator 27 by denominator 44 produces a repeating decimal (approximately 0.613636, or 61.3636%).

27 ÷ 44 = 0.613636 (61.3636%)

Visual Representation

The diagram below illustrates 2/8 plus 8/22 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`27/44`
Mixed Number Form	`27/44`
Decimal Form	`0.613636`
Percentage	`61.3636%`

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Frequently Asked Questions

What is 2/8 plus 8/22 as a fraction?

2/8 + 8/22 in simplest fraction form is 27/44.

What is 2/8 plus 8/22 as a decimal?

2/8 + 8/22 converted to a decimal is 0.613636.

What is 2/8 plus 8/22 as a percentage?

2/8 + 8/22 expressed as a percentage is 61.3636%.

Does 2/8 plus 8/22 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.613636...) because the denominator contains prime factors other than 2 and 5.