What is 4/22 plus 2/8? (Answer: 19/44)

Exact Answer

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Problem: What is 4/22 plus 2/8?
Formula / Expression: 4/22 + 2/8
Final Answer: 19/44
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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 4/22 by 4, and multiply the numerator and denominator of 2/8 by 11 so both fractions share the common base 88.
Working: 4 × 4/22 × 4 = 16/88 and 2 × 11/8 × 11 = 22/88

Step 3: Add the Numerators
Now add the numerators (16 + 22 = 38) and keep the common denominator 88 unchanged.
Working: 16 + 22/88 = 38/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 38 and 88, which is 2. Divide both the numerator and denominator by 2.
Working: 38 ÷ 2/88 ÷ 2 = 19/44

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 44 produces a repeating decimal (approximately 0.431818, or 43.1818%).
Working: 19 ÷ 44 = 0.431818 (43.1818%)

Key Values:
- Simplified Fraction: 19/44
- Mixed Number Form: 19/44
- Decimal Value: 0.431818
- Percentage: 43.1818%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-22-plus-2-8/
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4/22 + 2/8 = 19/44

Simplified Fraction

19/44

Mixed Number

Proper (19/44)

Decimal Value

0.431818

Percentage

43.1818%

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Step-by-Step Solution: 4/22 + 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 4/22 by 4, and multiply the numerator and denominator of 2/8 by 11 so both fractions share the common base 88.

4 × 4/22 × 4 = 16/88 and 2 × 11/8 × 11 = 22/88

Step 3

Add the Numerators

Now add the numerators (16 + 22 = 38) and keep the common denominator 88 unchanged.

16 + 22/88 = 38/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 38 and 88, which is 2. Divide both the numerator and denominator by 2.

38 ÷ 2/88 ÷ 2 = 19/44

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 44 produces a repeating decimal (approximately 0.431818, or 43.1818%).

19 ÷ 44 = 0.431818 (43.1818%)

Visual Representation

The diagram below illustrates 4/22 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/44`
Mixed Number Form	`19/44`
Decimal Form	`0.431818`
Percentage	`43.1818%`

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Frequently Asked Questions

What is 4/22 plus 2/8 as a fraction?

4/22 + 2/8 in simplest fraction form is 19/44.

What is 4/22 plus 2/8 as a decimal?

4/22 + 2/8 converted to a decimal is 0.431818.

What is 4/22 plus 2/8 as a percentage?

4/22 + 2/8 expressed as a percentage is 43.1818%.

Does 4/22 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.431818...) because the denominator contains prime factors other than 2 and 5.