What is 1/22 plus 2/8? (Answer: 13/44)

Exact Answer

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Problem: What is 1/22 plus 2/8?
Formula / Expression: 1/22 + 2/8
Final Answer: 13/44
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 88
Multiply the numerator and denominator of 1/22 by 4, and multiply the numerator and denominator of 2/8 by 11 so both fractions share the common base 88.
Working: 1 × 4/22 × 4 = 4/88 and 2 × 11/8 × 11 = 22/88

Step 3: Add the Numerators
Now add the numerators (4 + 22 = 26) and keep the common denominator 88 unchanged.
Working: 4 + 22/88 = 26/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 26 and 88, which is 2. Divide both the numerator and denominator by 2.
Working: 26 ÷ 2/88 ÷ 2 = 13/44

Step 5: Decimal & Percentage Representation
Dividing the numerator 13 by denominator 44 produces a repeating decimal (approximately 0.295455, or 29.5455%).
Working: 13 ÷ 44 = 0.295455 (29.5455%)

Key Values:
- Simplified Fraction: 13/44
- Mixed Number Form: 13/44
- Decimal Value: 0.295455
- Percentage: 29.5455%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-22-plus-2-8/
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1/22 + 2/8 = 13/44

Simplified Fraction

13/44

Mixed Number

Proper (13/44)

Decimal Value

0.295455

Percentage

29.5455%

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Step-by-Step Solution: 1/22 + 2/8

Step 1

Find the Least Common Denominator (LCD)

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

LCD(22, 8) = 88

Step 2

Convert to Equivalent Fractions with Common Denominator 88

Multiply the numerator and denominator of 1/22 by 4, and multiply the numerator and denominator of 2/8 by 11 so both fractions share the common base 88.

1 × 4/22 × 4 = 4/88 and 2 × 11/8 × 11 = 22/88

Step 3

Add the Numerators

Now add the numerators (4 + 22 = 26) and keep the common denominator 88 unchanged.

4 + 22/88 = 26/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 26 and 88, which is 2. Divide both the numerator and denominator by 2.

26 ÷ 2/88 ÷ 2 = 13/44

Step 5

Decimal & Percentage Representation

Dividing the numerator 13 by denominator 44 produces a repeating decimal (approximately 0.295455, or 29.5455%).

13 ÷ 44 = 0.295455 (29.5455%)

Visual Representation

The diagram below illustrates 1/22 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/44`
Mixed Number Form	`13/44`
Decimal Form	`0.295455`
Percentage	`29.5455%`

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Frequently Asked Questions

What is 1/22 plus 2/8 as a fraction?

1/22 + 2/8 in simplest fraction form is 13/44.

What is 1/22 plus 2/8 as a decimal?

1/22 + 2/8 converted to a decimal is 0.295455.

What is 1/22 plus 2/8 as a percentage?

1/22 + 2/8 expressed as a percentage is 29.5455%.

Does 1/22 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.295455...) because the denominator contains prime factors other than 2 and 5.