What is 8/22 plus 4/8? (Answer: 19/22)

Exact Answer

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Problem: What is 8/22 plus 4/8?
Formula / Expression: 8/22 + 4/8
Final Answer: 19/22
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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 8/22 by 4, and multiply the numerator and denominator of 4/8 by 11 so both fractions share the common base 88.
Working: 8 × 4/22 × 4 = 32/88 and 4 × 11/8 × 11 = 44/88

Step 3: Add the Numerators
Now add the numerators (32 + 44 = 76) and keep the common denominator 88 unchanged.
Working: 32 + 44/88 = 76/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 76 and 88, which is 4. Divide both the numerator and denominator by 4.
Working: 76 ÷ 4/88 ÷ 4 = 19/22

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 22 produces a repeating decimal (approximately 0.863636, or 86.3636%).
Working: 19 ÷ 22 = 0.863636 (86.3636%)

Key Values:
- Simplified Fraction: 19/22
- Mixed Number Form: 19/22
- Decimal Value: 0.863636
- Percentage: 86.3636%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-22-plus-4-8/
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8/22 + 4/8 = 19/22

Simplified Fraction

19/22

Mixed Number

Proper (19/22)

Decimal Value

0.863636

Percentage

86.3636%

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Step-by-Step Solution: 8/22 + 4/8

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

8 × 4/22 × 4 = 32/88 and 4 × 11/8 × 11 = 44/88

Step 3

Add the Numerators

Now add the numerators (32 + 44 = 76) and keep the common denominator 88 unchanged.

32 + 44/88 = 76/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 76 and 88, which is 4. Divide both the numerator and denominator by 4.

76 ÷ 4/88 ÷ 4 = 19/22

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 22 produces a repeating decimal (approximately 0.863636, or 86.3636%).

19 ÷ 22 = 0.863636 (86.3636%)

Visual Representation

The diagram below illustrates 8/22 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/22`
Mixed Number Form	`19/22`
Decimal Form	`0.863636`
Percentage	`86.3636%`

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Frequently Asked Questions

What is 8/22 plus 4/8 as a fraction?

8/22 + 4/8 in simplest fraction form is 19/22.

What is 8/22 plus 4/8 as a decimal?

8/22 + 4/8 converted to a decimal is 0.863636.

What is 8/22 plus 4/8 as a percentage?

8/22 + 4/8 expressed as a percentage is 86.3636%.

Does 8/22 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.863636...) because the denominator contains prime factors other than 2 and 5.