What is 4/23 plus 2/4? (Answer: 31/46)

Exact Answer

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Problem: What is 4/23 plus 2/4?
Formula / Expression: 4/23 + 2/4
Final Answer: 31/46
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 23 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 4 = 92.
Working: LCD(23, 4) = 92

Step 2: Convert to Equivalent Fractions with Common Denominator 92
Multiply the numerator and denominator of 4/23 by 4, and multiply the numerator and denominator of 2/4 by 23 so both fractions share the common base 92.
Working: 4 × 4/23 × 4 = 16/92 and 2 × 23/4 × 23 = 46/92

Step 3: Add the Numerators
Now add the numerators (16 + 46 = 62) and keep the common denominator 92 unchanged.
Working: 16 + 46/92 = 62/92

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 92, which is 2. Divide both the numerator and denominator by 2.
Working: 62 ÷ 2/92 ÷ 2 = 31/46

Step 5: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 46 produces a repeating decimal (approximately 0.673913, or 67.3913%).
Working: 31 ÷ 46 = 0.673913 (67.3913%)

Key Values:
- Simplified Fraction: 31/46
- Mixed Number Form: 31/46
- Decimal Value: 0.673913
- Percentage: 67.3913%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-23-plus-2-4/
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4/23 + 2/4 = 31/46

Simplified Fraction

31/46

Mixed Number

Proper (31/46)

Decimal Value

0.673913

Percentage

67.3913%

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Step-by-Step Solution: 4/23 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 23 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 4 = 92.

LCD(23, 4) = 92

Step 2

Convert to Equivalent Fractions with Common Denominator 92

Multiply the numerator and denominator of 4/23 by 4, and multiply the numerator and denominator of 2/4 by 23 so both fractions share the common base 92.

4 × 4/23 × 4 = 16/92 and 2 × 23/4 × 23 = 46/92

Step 3

Add the Numerators

Now add the numerators (16 + 46 = 62) and keep the common denominator 92 unchanged.

16 + 46/92 = 62/92

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 62 and 92, which is 2. Divide both the numerator and denominator by 2.

62 ÷ 2/92 ÷ 2 = 31/46

Step 5

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 46 produces a repeating decimal (approximately 0.673913, or 67.3913%).

31 ÷ 46 = 0.673913 (67.3913%)

Visual Representation

The diagram below illustrates 4/23 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/46`
Mixed Number Form	`31/46`
Decimal Form	`0.673913`
Percentage	`67.3913%`

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Frequently Asked Questions

What is 4/23 plus 2/4 as a fraction?

4/23 + 2/4 in simplest fraction form is 31/46.

What is 4/23 plus 2/4 as a decimal?

4/23 + 2/4 converted to a decimal is 0.673913.

What is 4/23 plus 2/4 as a percentage?

4/23 + 2/4 expressed as a percentage is 67.3913%.

Does 4/23 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.673913...) because the denominator contains prime factors other than 2 and 5.