What is 3/23 plus 2/4? (Answer: 29/46)

Exact Answer

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Problem: What is 3/23 plus 2/4?
Formula / Expression: 3/23 + 2/4
Final Answer: 29/46
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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 3/23 by 4, and multiply the numerator and denominator of 2/4 by 23 so both fractions share the common base 92.
Working: 3 × 4/23 × 4 = 12/92 and 2 × 23/4 × 23 = 46/92

Step 3: Add the Numerators
Now add the numerators (12 + 46 = 58) and keep the common denominator 92 unchanged.
Working: 12 + 46/92 = 58/92

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 58 and 92, which is 2. Divide both the numerator and denominator by 2.
Working: 58 ÷ 2/92 ÷ 2 = 29/46

Step 5: Decimal & Percentage Representation
Dividing the numerator 29 by denominator 46 produces a repeating decimal (approximately 0.630435, or 63.0435%).
Working: 29 ÷ 46 = 0.630435 (63.0435%)

Key Values:
- Simplified Fraction: 29/46
- Mixed Number Form: 29/46
- Decimal Value: 0.630435
- Percentage: 63.0435%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-23-plus-2-4/
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3/23 + 2/4 = 29/46

Simplified Fraction

29/46

Mixed Number

Proper (29/46)

Decimal Value

0.630435

Percentage

63.0435%

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Step-by-Step Solution: 3/23 + 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 3/23 by 4, and multiply the numerator and denominator of 2/4 by 23 so both fractions share the common base 92.

3 × 4/23 × 4 = 12/92 and 2 × 23/4 × 23 = 46/92

Step 3

Add the Numerators

Now add the numerators (12 + 46 = 58) and keep the common denominator 92 unchanged.

12 + 46/92 = 58/92

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 58 and 92, which is 2. Divide both the numerator and denominator by 2.

58 ÷ 2/92 ÷ 2 = 29/46

Step 5

Decimal & Percentage Representation

Dividing the numerator 29 by denominator 46 produces a repeating decimal (approximately 0.630435, or 63.0435%).

29 ÷ 46 = 0.630435 (63.0435%)

Visual Representation

The diagram below illustrates 3/23 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/46`
Mixed Number Form	`29/46`
Decimal Form	`0.630435`
Percentage	`63.0435%`

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Frequently Asked Questions

What is 3/23 plus 2/4 as a fraction?

3/23 + 2/4 in simplest fraction form is 29/46.

What is 3/23 plus 2/4 as a decimal?

3/23 + 2/4 converted to a decimal is 0.630435.

What is 3/23 plus 2/4 as a percentage?

3/23 + 2/4 expressed as a percentage is 63.0435%.

Does 3/23 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.630435...) because the denominator contains prime factors other than 2 and 5.