What is 4/22 plus 2/4? (Answer: 15/22)

Exact Answer

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Problem: What is 4/22 plus 2/4?
Formula / Expression: 4/22 + 2/4
Final Answer: 15/22
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 44 (which is smaller than their product 22 × 4 = 88, keeping the calculation simpler).
Working: LCD(22, 4) = 44

Step 2: Convert to Equivalent Fractions with Common Denominator 44
Multiply the numerator and denominator of 4/22 by 2, and multiply the numerator and denominator of 2/4 by 11 so both fractions share the common base 44.
Working: 4 × 2/22 × 2 = 8/44 and 2 × 11/4 × 11 = 22/44

Step 3: Add the Numerators
Now add the numerators (8 + 22 = 30) and keep the common denominator 44 unchanged.
Working: 8 + 22/44 = 30/44

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 30 and 44, which is 2. Divide both the numerator and denominator by 2.
Working: 30 ÷ 2/44 ÷ 2 = 15/22

Step 5: Decimal & Percentage Representation
Dividing the numerator 15 by denominator 22 produces a repeating decimal (approximately 0.681818, or 68.1818%).
Working: 15 ÷ 22 = 0.681818 (68.1818%)

Key Values:
- Simplified Fraction: 15/22
- Mixed Number Form: 15/22
- Decimal Value: 0.681818
- Percentage: 68.1818%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-22-plus-2-4/
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4/22 + 2/4 = 15/22

Simplified Fraction

15/22

Mixed Number

Proper (15/22)

Decimal Value

0.681818

Percentage

68.1818%

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Step-by-Step Solution: 4/22 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 44 (which is smaller than their product 22 × 4 = 88, keeping the calculation simpler).

LCD(22, 4) = 44

Step 2

Convert to Equivalent Fractions with Common Denominator 44

Multiply the numerator and denominator of 4/22 by 2, and multiply the numerator and denominator of 2/4 by 11 so both fractions share the common base 44.

4 × 2/22 × 2 = 8/44 and 2 × 11/4 × 11 = 22/44

Step 3

Add the Numerators

Now add the numerators (8 + 22 = 30) and keep the common denominator 44 unchanged.

8 + 22/44 = 30/44

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 30 and 44, which is 2. Divide both the numerator and denominator by 2.

30 ÷ 2/44 ÷ 2 = 15/22

Step 5

Decimal & Percentage Representation

Dividing the numerator 15 by denominator 22 produces a repeating decimal (approximately 0.681818, or 68.1818%).

15 ÷ 22 = 0.681818 (68.1818%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/22`
Mixed Number Form	`15/22`
Decimal Form	`0.681818`
Percentage	`68.1818%`

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Frequently Asked Questions

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

4/22 + 2/4 in simplest fraction form is 15/22.

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

4/22 + 2/4 converted to a decimal is 0.681818.

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

4/22 + 2/4 expressed as a percentage is 68.1818%.

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

It results in a repeating decimal (approximately 0.681818...) because the denominator contains prime factors other than 2 and 5.